%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV700-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n032.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 16:27:53 EDT 2022

% Result   : Timeout 300.06s 300.52s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWV700-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.11  % Command  : bliksem %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % DateTime : Wed Jun 15 15:53:29 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 1.16/1.58  *** allocated 10000 integers for termspace/termends
% 1.16/1.58  *** allocated 10000 integers for clauses
% 1.16/1.58  *** allocated 10000 integers for justifications
% 1.16/1.58  *** allocated 15000 integers for termspace/termends
% 1.16/1.58  *** allocated 22500 integers for termspace/termends
% 1.16/1.58  *** allocated 33750 integers for termspace/termends
% 1.16/1.58  *** allocated 50625 integers for termspace/termends
% 1.16/1.58  Bliksem 1.12
% 1.16/1.58  
% 1.16/1.58  
% 1.16/1.58  Automatic Strategy Selection
% 1.16/1.58  
% 1.16/1.58  Clauses:
% 1.16/1.58  [
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.58    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.16/1.58     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), W ) ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower_Opower'( X, Y, Z ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.58    X, Y, Z ), T ), U ) ), W ) ), ~( 'c_OrderedGroup_Omonoid__mult'( X, Y, Z
% 1.16/1.58     ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.16/1.58    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 'c_Suc'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 'c_Suc'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.16/1.58    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.16/1.58     ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.58     ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.58    , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.58    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.58     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.58     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.58     ), X ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.58    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.58     ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.58    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.16/1.58    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.58    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.58     ), X ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.58     ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.58    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.58     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.58    'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.58    'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.58     ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.58     ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.16/1.58    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.16/1.58     ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.16/1.58    hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.16/1.58     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), 
% 1.16/1.58    U ), W ) ), hAPP( hAPP( Z, U ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z
% 1.16/1.58    , T ), U ), W ) ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ), ~( 
% 1.16/1.58    'c_Ring__and__Field_Oordered__semidom'( V0, V1, Y, Z, V2, X, T ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.16/1.58    , Z ) ), Z ) ],
% 1.16/1.58     [ =( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), U ), W ) )
% 1.16/1.58    , hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), hAPP( X, U ) ), W ) ), 
% 1.16/1.58    ~( 'c_Ring__and__Field_Oordered__idom'( V0, V1, V2, V3, V4, V5, X, Y, Z, 
% 1.16/1.58    V6, T ) ) ],
% 1.16/1.58     [ =( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), hAPP( U, W
% 1.16/1.58     ) ), V0 ) ), hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), W
% 1.16/1.58     ), V0 ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( V1, U, V2, V3, V4, 
% 1.16/1.58    V5, X, Y, Z, V6, T ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( X, Y, 
% 1.16/1.58    'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Omod'( X, Y, 
% 1.16/1.58    'tc_nat' ) ) ) ],
% 1.16/1.58     [ ~( =( hAPP( 'c_NthRoot_Osqrt', X ), hAPP( 'c_NthRoot_Osqrt', Y ) ) ), 
% 1.16/1.58    =( X, Y ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    'tc_nat' ) ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    'tc_nat' ) ), Y ) ) ],
% 1.16/1.58     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2, 
% 1.16/1.58    V3, V4 ) ), hBOOL( hAPP( hAPP( W, Z ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower_Opower'( V1, V2, V4 ), hAPP( V0, V5 ) ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.16/1.58    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.58    , X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.58     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.16/1.58    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.16/1.58    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.58    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ) ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 1.16/1.58    'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.16/1.58     ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.16/1.58     ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.16/1.58     ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.16/1.58    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.16/1.58    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'( X
% 1.16/1.58     ) ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.58    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.58     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.16/1.58    'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.58    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.16/1.58    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.16/1.58    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.16/1.58    X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( =( hAPP( 'c_NthRoot_Oroot'( X ), Y ), hAPP( 'c_NthRoot_Oroot'( X )
% 1.16/1.58    , Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    'tc_nat' ), X, 'tc_nat' ) ), =( Y, Z ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ), 
% 1.16/1.58    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), W ) ), hAPP( hAPP( Y, hAPP( 
% 1.16/1.58    hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), U ) ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower_Opower'( X, Y, Z ), T ), W ) ) ), ~( 
% 1.16/1.58    'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.58     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.58    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.58     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.16/1.58    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.58    'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.16/1.58    Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.16/1.58    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.58    T, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.58    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.16/1.58    , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.58     ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.58    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.16/1.58    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.58    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.58    'tc_nat' ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 
% 1.16/1.58    hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 'tc_nat' ) )
% 1.16/1.58     ],
% 1.16/1.58     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.16/1.58    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    'tc_nat' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ), 
% 1.16/1.58    X ), 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.58     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.58    , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.58     ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.16/1.58    'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.16/1.58    , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ), 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , Y ), Z ), T, X ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ), 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , Y ), T ), Z, X ) ) ],
% 1.16/1.58     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.58    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.58    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Y ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( Z, Y, X ) ), Z ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.58     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.58     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.58     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.16/1.58    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.58     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.58     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.16/1.58     ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.58    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.16/1.58    Y, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.16/1.58    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.58    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.58    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.58     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.16/1.58     [ ~( =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), U ), hAPP( 
% 1.16/1.58    hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), W ), U ) ) ), ~( 
% 1.16/1.58    'c_Ring__and__Field_Oordered__semidom'( V0, V1, X, Y, V2, V3, Z ) ), =( T
% 1.16/1.58    , W ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.16/1.58     ), U, 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP( V2, V1 ), W ) ) ), ~( hBOOL( 
% 1.16/1.58    hAPP( hAPP( V2, V1 ), T ) ) ) ],
% 1.16/1.58     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.58    Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ), Y )
% 1.16/1.58     ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.58    , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.16/1.58     ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.58    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.16/1.58    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.58    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.58    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.58     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.58     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.58     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.58     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.58    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.16/1.58     ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.58     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.16/1.58    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.16/1.58     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), 
% 1.16/1.58    U ), 'c_Suc'( W ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( X, U ), Y ) ) ), ~( 
% 1.16/1.58    hBOOL( hAPP( hAPP( X, V0 ), U ) ) ), ~( 
% 1.16/1.58    'c_Ring__and__Field_Oordered__semidom'( V1, V0, Y, Z, V2, X, T ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.16/1.58    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.58     ), Z ), Y ), 'tc_nat' ) ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.58     ), Y ), Z ), 'tc_nat' ) ) ],
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ), 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    'tc_nat' ), X ), 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 
% 1.16/1.58    'tc_nat' ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.16/1.58    , X ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X
% 1.16/1.58     ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.16/1.58    , ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.16/1.58    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.16/1.58    , ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.16/1.58    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.16/1.58     ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), X ), T ), X ), ~( 
% 1.16/1.58    'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.58    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.16/1.58    'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.58    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.58    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.16/1.58    'c_lessequals'( Z, T, X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.58    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.16/1.58    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.16/1.58    'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.16/1.58    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.16/1.58    'c_lessequals'( Z, T, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.58    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( T, X ), X ) )
% 1.16/1.58    , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.16/1.58     ), =( Z, Y ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.58     ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.16/1.58     ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.58    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.16/1.58    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.16/1.58     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 1.16/1.58    'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.16/1.58    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.58    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.16/1.58     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.16/1.58    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.16/1.58    , X ) ) ), =( Y, Z ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.16/1.58    , X ) ) ), =( Y, Z ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), Y, X ), Z ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), 
% 1.16/1.58    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( T, X ) ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ), Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ =( hAPP( 'c_NthRoot_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    'tc_nat' ), X ), Y ) ), Z ), hAPP( 'c_NthRoot_Oroot'( X ), hAPP( 
% 1.16/1.58    'c_NthRoot_Oroot'( Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.58    'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.58    Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.16/1.58    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.58    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.58     ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.58    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.58     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.58     ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.58     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.58     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    Z, Y, X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.16/1.58    , X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.16/1.58    , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.58     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.16/1.58     ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.16/1.58     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), Y ), T ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.16/1.58    Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), T ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ), X ) ) ],
% 1.16/1.58     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), 
% 1.16/1.58    U ), W ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), U ), V0 ) ) )
% 1.16/1.58    , ~( 'c_HOL_Oord__class_Oless'( W, V0, 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP( 
% 1.16/1.58    X, Y ), U ) ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V1, V2, Y, Z
% 1.16/1.58    , V3, X, T ) ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP( Z, 
% 1.16/1.58    hAPP( hAPP( 'c_Power_Opower_Opower'( T, U, W ), V0 ), X ) ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower_Opower'( T, U, W ), V0 ), Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.16/1.58    Z, T ), V0 ) ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V1, V2, T, U
% 1.16/1.58    , V3, Z, W ) ) ],
% 1.16/1.58     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), 
% 1.16/1.58    U ), W ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), U ), V0 ) ) )
% 1.16/1.58    , ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ), ~( 'c_HOL_Oord__class_Oless'( W
% 1.16/1.58    , V0, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V1, V2, Y
% 1.16/1.58    , Z, V3, X, T ) ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP( Z, 
% 1.16/1.58    hAPP( hAPP( 'c_Power_Opower_Opower'( T, U, W ), V0 ), X ) ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower_Opower'( T, U, W ), V0 ), Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.16/1.58    Z, T ), V0 ) ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V1, V2, T, U
% 1.16/1.58    , V3, Z, W ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.16/1.58    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.16/1.58    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.16/1.58     ) ],
% 1.16/1.58     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ), 
% 1.16/1.58    =( Z, Y ), ~( 'c_Ring__and__Field_Oordered__idom'( T, U, W, V0, V1, X, V2
% 1.16/1.58    , V3, V4, V5, V6 ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ), hAPP( hAPP( X, Z ), 
% 1.16/1.58    Z ) ), ~( 'c_Ring__and__Field_Oordered__idom'( T, U, W, V0, V1, V2, Y, V3
% 1.16/1.58    , X, V4, V5 ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( T, Z ) ), Z ), ~( 
% 1.16/1.58    'c_Ring__and__Field_Oordered__idom'( U, W, V0, V1, V2, V3, T, V4, X, Y, 
% 1.16/1.58    V5 ) ) ],
% 1.16/1.58     [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, hAPP( X, Z ) ), 
% 1.16/1.58    hAPP( X, T ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, V0, V1, 
% 1.16/1.58    V2, V3, V4, V5, Y, X, V6 ) ) ],
% 1.16/1.58     [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, hAPP( X, Z ) ), 
% 1.16/1.58    hAPP( X, T ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, V0, V1, 
% 1.16/1.58    V2, V3, X, V4, Y, V5, V6 ) ) ],
% 1.16/1.58     [ =( hAPP( X, hAPP( X, Y ) ), hAPP( X, Y ) ), ~( 
% 1.16/1.58    'c_Ring__and__Field_Oordered__idom'( Z, T, U, W, V0, V1, V2, V3, V4, X, 
% 1.16/1.58    V5 ) ) ],
% 1.16/1.58     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2, 
% 1.16/1.58    V3, V4 ) ), =( hAPP( V3, Z ), Z ) ],
% 1.16/1.58     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, hAPP( Z, T ), U, W, V0, 
% 1.16/1.58    V1, V2, V3, Z, V4 ) ), =( T, hAPP( Z, T ) ) ],
% 1.16/1.58     [ =( hAPP( X, Y ), hAPP( hAPP( Z, Y ), hAPP( T, Y ) ) ), ~( 
% 1.16/1.58    'c_Ring__and__Field_Oordered__idom'( U, W, V0, V1, V2, V3, X, V4, Z, T, 
% 1.16/1.58    V5 ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.58     [ ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, 
% 1.16/1.58    T, U ), hAPP( W, Y ) ), V0 ) ) ) ), ~( 
% 1.16/1.58    'c_Ring__and__Field_Oordered__idom'( V1, V2, Y, V3, V4, X, W, Z, T, V5, U
% 1.16/1.58     ) ), =( V0, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 'c_Suc'( 
% 1.16/1.58    Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( X )
% 1.16/1.58     ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.16/1.58     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.58    , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.58     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.58     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.58     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.58     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.58     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.58    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.58     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.16/1.58     ) ) ],
% 1.16/1.58     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.16/1.58     ) ) ],
% 1.16/1.58     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.58    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.58     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.58    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.16/1.58     ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.58    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.16/1.58    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.16/1.58    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.16/1.58    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.16/1.58    , 'tc_nat' ) ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.16/1.58    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.16/1.58    , 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z, 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.58    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.16/1.58     ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.58     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.58     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.58    Y, X ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.58    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.58    X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'( 
% 1.16/1.58    'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Z ), Y ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Z ), Y ), X ) ) ],
% 1.16/1.58     [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 
% 1.16/1.58    ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.16/1.58     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    'tc_nat' ) ), X ) ],
% 1.16/1.58     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.58    hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.16/1.58     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 'c_Suc'( U ) )
% 1.16/1.58    , hAPP( hAPP( Y, hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), U )
% 1.16/1.58     ), T ) ), ~( 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.58     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.16/1.58     ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.16/1.58    X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.58    , X ) ), T ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.58    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.58    X ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.58     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.58    , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.58     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.16/1.58    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.16/1.58    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.58     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.58    X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 'c_Suc'( 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ) ), 'tc_nat' ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.16/1.58     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.16/1.58    'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.16/1.58     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.58     ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.58     ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.16/1.58    , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.16/1.58    , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.58     ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.58     ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.16/1.58     ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.16/1.58     ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.16/1.58    Y, X ) ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.16/1.58    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.16/1.58    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.16/1.58    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.16/1.58     ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.16/1.58     ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP( 
% 1.16/1.58    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, 
% 1.16/1.58    Z, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ), 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.58    'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Z, 'tc_nat' ) ), 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 'tc_nat' ) ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.58    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.16/1.58    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.16/1.58    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.58    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.16/1.58    , X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.16/1.58    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.58    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), T ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.16/1.58    X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.58     ), T ), Z ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.16/1.58    , X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.58    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Y ), T ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.16/1.58    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Y ), T ), Z, X ) ) ],
% 1.16/1.58     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.58     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.16/1.58     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.58     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.58     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.16/1.58     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.58     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.58     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.16/1.58     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.16/1.58     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_Suc'( X ), 'c_Suc'( 'c_Suc'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 'c_Suc'( 
% 1.16/1.58    'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'( 'c_Suc'( 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), 
% 1.16/1.58    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( 
% 1.16/1.58    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.58     ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.16/1.58     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.58    , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.16/1.58     ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.16/1.58     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.16/1.58    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.58    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.58    ,
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.58    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 1.16/1.58    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.16/1.58     ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.58    X ), Y ), Z ) ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), 
% 1.16/1.58    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Z, 
% 1.16/1.58    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.58     ) ],
% 1.16/1.58     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.16/1.58     ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.58    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.16/1.58     ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ) ), X ), Z, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.16/1.59     [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_Int_Oint' ), X ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.16/1.59    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59    , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.16/1.59    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.16/1.59    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.16/1.59    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.16/1.59    , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.16/1.59    , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.16/1.59    , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), 
% 1.16/1.59    Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.16/1.59    X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.16/1.59    , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.16/1.59     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.16/1.59     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.16/1.59     [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Int_Oint' ), 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Y, 'tc_Int_Oint' ) ) ), =( X, Y ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Int_Oint' ), 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Y, 'tc_Int_Oint' ) ) ), =( X, Y ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.16/1.59    , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.59    X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.16/1.59     ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.16/1.59     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.59    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.16/1.59    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.16/1.59    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.59    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.59    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'( 
% 1.16/1.59    Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( 
% 1.16/1.59    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.59     ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.16/1.59    , X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ), X
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.16/1.59    , X ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.16/1.59    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.16/1.59    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), Y ), T ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.59    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.59    'tc_nat' ) ), Y ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.16/1.59     ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.16/1.59     ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, X, Z ), T )
% 1.16/1.59    , U ) ), T ), hAPP( hAPP( X, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y
% 1.16/1.59    , X, Z ), T ), U ) ) ), ~( 'c_OrderedGroup_Omonoid__mult'( Y, X, Z ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.16/1.59     ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), hAPP( 
% 1.16/1.59    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), Z ) ) ],
% 1.16/1.59     [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.16/1.59     [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.16/1.59     ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.59     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.16/1.59     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ) ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.59     ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), Z, X ) ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.16/1.59    , T, X ) ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), T, X ) ), =( T, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.16/1.59    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.16/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.16/1.59    'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 'c_Suc'( U
% 1.16/1.59     ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), W ), 'c_Suc'( U ) )
% 1.16/1.59     ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V0, V1, X, Y, V2, V3, Z
% 1.16/1.59     ) ), =( T, W ), ~( hBOOL( hAPP( hAPP( V2, V1 ), W ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( V2, V1 ), T ) ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.16/1.59    , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~( 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP( 
% 1.16/1.59    hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.16/1.59    , V0, U, V1 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP( 
% 1.16/1.59    hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.16/1.59    , V0, U, V1 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ), 
% 1.16/1.59    Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.16/1.59    X, T, U, Y, W, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.16/1.59    X, T, U, Z, W, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 1.16/1.59    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.16/1.59    T, X, U, Y, W, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.16/1.59    T, X, U, Z, W, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.16/1.59    T, X, U, W, Y, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.16/1.59    T, X, U, W, Z, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.16/1.59    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 1.16/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.16/1.59    , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ), 
% 1.16/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.16/1.59    , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ), 
% 1.16/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 1.16/1.59    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.16/1.59    , V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.16/1.59    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 1.16/1.59    W, V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.16/1.59    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.16/1.59    , V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.16/1.59    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 1.16/1.59    W, V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.16/1.59    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 1.16/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.16/1.59    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 1.16/1.59    W, V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.16/1.59    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 1.16/1.59    W, V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 1.16/1.59    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.16/1.59    , V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.16/1.59    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.16/1.59    , V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.16/1.59    X, T, U, Y, W, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.16/1.59    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.16/1.59    , V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.16/1.59    T, X, U, Y, W, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.16/1.59    T, X, U, W, Y, V0 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.16/1.59    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.16/1.59    , V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP( 
% 1.16/1.59    hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~( 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 1.16/1.59    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 1.16/1.59     ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.59     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.16/1.59    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.59     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~( 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~( 
% 1.16/1.59    'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.16/1.59    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), 
% 1.16/1.59    U ), W ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), V0 ), W ) ) )
% 1.16/1.59    , ~( hBOOL( hAPP( hAPP( X, V1 ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), 
% 1.16/1.59    V0 ) ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V2, V1, Y, Z, X, V3
% 1.16/1.59    , T ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( T, Y, U ), Z ), W ) ) ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( T, Y, U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( X
% 1.16/1.59    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, V0 ), Z ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__semidom'( V1, V0, T, Y, V2, X, U ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), Z ) )
% 1.16/1.59     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( W, V0, 
% 1.16/1.59    V1 ), Y ), V2 ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( W, V0, V1 ), Z )
% 1.16/1.59    , V2 ) ) ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V3, U, W, V0, T
% 1.16/1.59    , X, V1 ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), X ) ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.59     ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.16/1.59     ) ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X
% 1.16/1.59     ) ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.16/1.59     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.16/1.59    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.16/1.59    Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, 
% 1.16/1.59    T ), U ), 'c_Suc'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__semidom'( V0, V1, Y, Z, V2, X, T ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T, 
% 1.16/1.59    U ), hAPP( W, V0 ) ), V1 ) ) ), =( V0, Y ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, V4, V5, X, W, Z, T, V6, U
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.16/1.59    Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.16/1.59     ) ), Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.16/1.59     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.16/1.59     ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.59     [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.16/1.59    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.16/1.59    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.16/1.59     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), T ), ~( 
% 1.16/1.59    'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) )
% 1.16/1.59    , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 1.16/1.59    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.16/1.59     ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.16/1.59     ), X ), Y ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.16/1.59     ), Z ) ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.16/1.59     ), Z ) ), Y ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.16/1.59    =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.16/1.59     ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.59    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.16/1.59     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.59     ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Y ), Z ) ), T ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Y ), Z ) ), T ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.16/1.59     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.59     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Z, X ) ), X ) ],
% 1.16/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.59    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.16/1.59    , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.59    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.59    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.16/1.59    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.59     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.59     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.16/1.59    , X ) ), T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.16/1.59     ), Z ), T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.59    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.16/1.59     ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.16/1.59    X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.59    , X ) ), T ) ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ) ), =( Y, Z ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.59    X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.16/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.59     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 
% 1.16/1.59    'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.16/1.59    , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.59    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    Y, Z, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.16/1.59    'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.59    'c_Suc'( X ), 'tc_nat' ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.59    'c_Suc'( X ), 'tc_nat' ) ],
% 1.16/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.59    'c_Int_OMin', X ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 1.16/1.59     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( U, W, 
% 1.16/1.59    V0 ), Y ), 'c_Suc'( V1 ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( U, W, 
% 1.16/1.59    V0 ), Z ), 'c_Suc'( V1 ) ) ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__semidom'( V2, T, U, W, X, V3, V0 ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 1.16/1.59    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.59    , Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.16/1.59     ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.16/1.59    , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.16/1.59    , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.16/1.59    X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.16/1.59    , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y, 
% 1.16/1.59    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.59     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T
% 1.16/1.59    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.59     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.16/1.59    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.16/1.59    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.16/1.59     [ =( 'c_Suc'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.59    'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.59     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.16/1.59     ), 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.16/1.59     ), 'tc_nat' ) ) ],
% 1.16/1.59     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.59     ), Y ), 'c_Suc'( Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.16/1.59    Z ), X ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.16/1.59     ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.16/1.59     ), T ) ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.16/1.59     ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.16/1.59     ), T ) ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.16/1.59    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_Suc'( X ), Y, 'tc_nat' ), hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, 
% 1.16/1.59    Y, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ), 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ), Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.16/1.59    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.16/1.59     ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), 
% 1.16/1.59    U ), W ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), U ), V0 ) ) )
% 1.16/1.59    , ~( hBOOL( hAPP( hAPP( X, U ), Y ) ) ), ~( hBOOL( hAPP( hAPP( X, V1 ), U
% 1.16/1.59     ) ) ), ~( 'c_HOL_Oord__class_Oless'( V0, W, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__semidom'( V2, V1, Y, Z, V3, X, T ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.16/1.59    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.16/1.59    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.59    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ =( hAPP( X, Y ), hAPP( Z, T ) ), ~( hBOOL( hAPP( hAPP( U, Y ), W ) ) )
% 1.16/1.59    , ~( 'c_Ring__and__Field_Oordered__idom'( V0, Z, W, V1, V2, U, V3, T, V4
% 1.16/1.59    , X, V5 ) ) ],
% 1.16/1.59     [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( W, V0, U, V1, V2, T, V3, Z, V4, X, 
% 1.16/1.59    V5 ) ) ],
% 1.16/1.59     [ ~( =( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( U, Z, W, V0, V1, V2, V3, T, V4, X, 
% 1.16/1.59    V5 ) ), hBOOL( hAPP( hAPP( V2, Y ), W ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ), 
% 1.16/1.59    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ), 
% 1.16/1.59    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.16/1.59     ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.16/1.59    ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.16/1.59    X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 1.16/1.59    X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ), T ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 'c_Divides_Odiv__class_Omod'( 
% 1.16/1.59    Z, Y, X ) ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, 
% 1.16/1.59    T ), U ), W ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), W, 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, Y ), U ) ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V0, V1
% 1.16/1.59    , Y, Z, V2, X, T ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~( 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.59     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.59     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.59     ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), 
% 1.16/1.59    X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), X, 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.16/1.59     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.59     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.16/1.59    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.16/1.59    , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    X, T, 'tc_nat' ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ) ],
% 1.16/1.59     [ =( hAPP( 'c_NthRoot_Oroot'( X ), hAPP( 'c_NthRoot_Oroot'( Y ), Z ) ), 
% 1.16/1.59    hAPP( 'c_NthRoot_Oroot'( Y ), hAPP( 'c_NthRoot_Oroot'( X ), Z ) ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.16/1.59    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.16/1.59     ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), X ) ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.16/1.59    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Z, Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.16/1.59    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Z, Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.16/1.59    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.16/1.59    , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z, 
% 1.16/1.59    X ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.16/1.59     ), 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.16/1.59     ), 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.59     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.59     ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ), 
% 1.16/1.59    X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.59    , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.16/1.59    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.16/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.16/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), Z ) ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), U ), X ) ), Z ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.16/1.59    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.16/1.59     ), Z ) ), T ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), 'c_Suc'( Z ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), 'c_Suc'( Z ) ), Y ), 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), 'c_Suc'( X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), 'c_Suc'( X ) ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    Y, Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.16/1.59    Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__mult'( Z
% 1.16/1.59    , X, T ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__mult'( Y
% 1.16/1.59    , X, T ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.59    , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.16/1.59    X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.16/1.59     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.16/1.59     [ =( hAPP( 'c_NthRoot_Oroot'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ) ), X ), X ) ],
% 1.16/1.59     [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 1.16/1.59    , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.59     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.16/1.59     ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.16/1.59    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, 
% 1.16/1.59    T, X ) ), T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.16/1.59     ) ), Z ), T, X ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.59    'c_Int_OMin', X ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.16/1.59    , Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), hBOOL( hAPP( 
% 1.16/1.59    hAPP( U, T ), W ) ), ~( hBOOL( hAPP( hAPP( X, Z ), V0 ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, U, X, V4, V0, Y, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, U ), Z ) ) ), hBOOL( hAPP( hAPP( W, V0 ), T ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, W, X, V4, U, Y, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), hBOOL( hAPP( 
% 1.16/1.59    hAPP( U, Y ), W ) ), ~( hBOOL( hAPP( hAPP( X, V0 ), T ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, U, X, V4, V0, Z, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, T ), U ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Y ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, W, X, V4, U, Z, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), hBOOL( hAPP( 
% 1.16/1.59    hAPP( U, Z ), W ) ), ~( hBOOL( hAPP( hAPP( X, T ), V0 ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, U, X, V4, V0, Y, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, U ), T ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Z ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, W, X, V4, U, Y, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), hBOOL( hAPP( 
% 1.16/1.59    hAPP( U, Y ), W ) ), ~( hBOOL( hAPP( hAPP( X, V0 ), T ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, U, X, V4, V0, Z, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, T ), U ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Y ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, W, X, V4, U, Z, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), hBOOL( hAPP( 
% 1.16/1.59    hAPP( U, T ), W ) ), ~( hBOOL( hAPP( hAPP( X, Z ), V0 ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, U, V4, V0, Y, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, U ), Z ) ) ), hBOOL( hAPP( hAPP( W, V0 ), T ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, X, W, V4, U, Y, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), hBOOL( hAPP( 
% 1.16/1.59    hAPP( U, Y ), W ) ), ~( hBOOL( hAPP( hAPP( X, V0 ), T ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, U, V4, V0, Z, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, T ), U ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Y ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, X, W, V4, U, Z, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), hBOOL( hAPP( 
% 1.16/1.59    hAPP( U, Z ), W ) ), ~( hBOOL( hAPP( hAPP( X, T ), V0 ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, U, V4, V0, Y, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, U ), T ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Z ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, X, W, V4, U, Y, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), hBOOL( hAPP( 
% 1.16/1.59    hAPP( U, Y ), W ) ), ~( hBOOL( hAPP( hAPP( X, V0 ), T ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, U, V4, V0, Z, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, T ), U ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Y ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, X, W, V4, U, Z, V5, 
% 1.16/1.59    V6 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X, 
% 1.16/1.59    Y ), T ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, Y, V0, V1, X
% 1.16/1.59    , V2, V3, V4, Z, V5 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.16/1.59    T, Z ) ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, Y, V0, V1, X
% 1.16/1.59    , V2, V3, V4, T, V5 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X, 
% 1.16/1.59    Z ), T ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, T, V0, V1, X
% 1.16/1.59    , V2, V3, V4, Y, V5 ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Y
% 1.16/1.59     ) ), Z ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, Z, V0, V1, X
% 1.16/1.59    , V2, V3, V4, T, V5 ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.16/1.59     ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.16/1.59     ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 1.16/1.59    'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.16/1.59     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.16/1.59     ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.16/1.59     ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.59    'c_Int_OMin', X ) ), Y ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.59     ), X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ), X ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.16/1.59    , X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.59    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.16/1.59    'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.59     ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.59     ), Y ), Z ), 'tc_nat' ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.59     ), X ), Z ), 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.59     ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.59    , X, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.16/1.59     ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.16/1.59     [ ~( =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_Int_Oint'
% 1.16/1.59     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_Int_Oint' ) ) )
% 1.16/1.59     ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.16/1.59    , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.16/1.59    , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.16/1.59    , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.16/1.59    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.16/1.59    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.16/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.16/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.16/1.59    X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.16/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.16/1.59    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.16/1.59    , 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.16/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.16/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.16/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), T ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.16/1.59    , 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.59    , X ) ), Z ), Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.59    X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.16/1.59    Y ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.59     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.59     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.16/1.59    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.16/1.59    , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ), Y ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.16/1.59    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.59    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.16/1.59     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 
% 1.16/1.59    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z, 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.16/1.59     ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 1.16/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ) ) ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 1.16/1.59    Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.16/1.59     ), 'c_Divides_Odiv__class_Omod'( 'c_Suc'( Z ), Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.16/1.59    , Z ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.16/1.59    , Z ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.16/1.59    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.16/1.59     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.16/1.59    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.16/1.59     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), 
% 1.16/1.59    U ), W ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), V0 ), W ) ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), W
% 1.16/1.59    , 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP( V1, V2 ), U ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( X, U ), V0 ) ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V3, V2
% 1.16/1.59    , Y, Z, V1, X, T ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( Y, X ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.16/1.59    , X ) ), Z ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.59    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.16/1.59    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.59     [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.16/1.59     ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.16/1.59    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.59     ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X ) ), =( U, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.16/1.59    , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.16/1.59    , X ) ), Z ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.16/1.59    , 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z ), X ), 
% 1.16/1.59    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.16/1.59    , Y ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.59     ) ), Z ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.59    Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.16/1.59    X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), Z
% 1.16/1.59     ), 'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.59     ), Y ), Z ), X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.59    X ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), U ), hAPP( 
% 1.16/1.59    hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), W ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.59    hAPP( V0, X ), T ) ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V1, V2
% 1.16/1.59    , X, Y, V3, V0, Z ) ), =( U, W ) ],
% 1.16/1.59     [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.59    , Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.59    , Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.59    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.59     ), X ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.59     ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.59     ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.59     ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.59     ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.59    , X, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.59     ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.16/1.59     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.59    , Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.16/1.59    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.16/1.59    'tc_nat' ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T, 
% 1.16/1.59    U ), hAPP( W, V0 ) ), V1 ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( 
% 1.16/1.59    V2, V3, Y, V4, X, V5, W, Z, T, V6, U ) ) ],
% 1.16/1.59     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__semidom'( T, Z, Y, U, W, X, V0 ) ) ],
% 1.16/1.59     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( 
% 1.16/1.59    'c_Ring__and__Field_Oordered__semidom'( T, Z, Y, U, X, W, V0 ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.16/1.59    , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.59    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.16/1.59    , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.16/1.59    , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.59    , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.16/1.59    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( 
% 1.16/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.59    , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.16/1.59    , X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.16/1.59    , X ), X ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.16/1.59    X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.16/1.59    Y ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 1.16/1.59     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.16/1.59     ), Y ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.16/1.59     ), Y ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.16/1.59     ), Y ) ],
% 1.16/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.16/1.59     ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.59     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.59     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.59    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.16/1.59    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.59    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.59    Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.59    'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.59    'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.59    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.16/1.59     [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.16/1.59     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 1.16/1.59    , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.16/1.59     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.16/1.59    , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.16/1.59     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.16/1.59    , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 'c_Suc'( U ) )
% 1.16/1.59    , hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T )
% 1.16/1.59    , U ) ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 1.16/1.59     ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 1.16/1.59     ) ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.16/1.59    , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.16/1.59    Y ) ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.16/1.59    , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( 
% 1.16/1.59    Y ) ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.16/1.59     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( X
% 1.16/1.59     ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( 
% 1.16/1.59    X ) ), Z ) ) ), =( Y, Z ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP( 
% 1.16/1.59    X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP( 
% 1.16/1.59    X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 1.16/1.59     ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ), 
% 1.16/1.59    'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W, V0, 
% 1.16/1.59    V1 ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ), 
% 1.16/1.59    'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W, V0, 
% 1.16/1.59    V1 ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.16/1.59     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.16/1.59     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.16/1.59     ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.16/1.59     [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.16/1.59    Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.16/1.59    ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_Suc'( T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.59    'c_Suc'( T ) ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), T ), 'c_Suc'( Z ) ) ) ), =( Y, T ), 
% 1.16/1.59    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.59    'tc_nat' ) ), Y ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.16/1.59    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ), 
% 1.16/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.59    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.16/1.59    , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.59     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.59    T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.16/1.59    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.16/1.59    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.59     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.16/1.59    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.59     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.16/1.59    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.16/1.59    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.16/1.59    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59    , X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.16/1.59    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Odiv'( X, Y, 
% 1.16/1.59    'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), Y, 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.16/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =( 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), 
% 1.16/1.59    'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.16/1.59    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59    , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.16/1.59    'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.59     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.16/1.59    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.16/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.16/1.59    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.16/1.59    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.16/1.59    ,
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.16/1.59    , T ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.16/1.59    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.16/1.59    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.16/1.59    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.59    , 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.59    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.16/1.59    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.59    , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.16/1.59     [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL( 
% 1.16/1.59    hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.59    'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.16/1.59    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.16/1.59     ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 1.16/1.59     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.16/1.59     ) ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ), 
% 1.16/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.16/1.59    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.59    , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), X ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.59    'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.16/1.59    Y, 'tc_nat' ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.16/1.59     ) ), X, 'tc_nat' ) ) ],
% 1.16/1.59     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.59    'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~( 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.16/1.59     ) ), X, 'tc_nat' ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 1.16/1.59    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.16/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), hAPP( hAPP( 
% 1.16/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.16/1.59    Z, X ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.59    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.59    Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.59    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'( 
% 1.16/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.16/1.60     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.16/1.60     ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_Suc'( X ), 'c_Suc'( 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.16/1.60    'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'( 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~( 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.16/1.60     ), =( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.60    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.16/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.16/1.60    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.60    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.16/1.60    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.60     ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), 
% 1.16/1.60    X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.16/1.60     ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.60     ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), 
% 1.16/1.60    X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.60     ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.60    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.16/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.60     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.60    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.16/1.60     ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.60     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.60     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.16/1.60    ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.16/1.60     [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.60    'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.60    'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.60    Z, X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ), =( Z, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), 
% 1.16/1.60    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y, 
% 1.16/1.60    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, 
% 1.16/1.60    T ), U ), W ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( V0, V1, Y, Z, X, V2, T ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T, 
% 1.16/1.60    U ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), W ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( V1, Y, Z, T, X, V2, U ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( Y, Z, U ), T ), W ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.16/1.60    X, Y ), T ) ) ), ~( 'c_Ring__and__Field_Oordered__semidom'( V0, V1, Y, Z
% 1.16/1.60    , V2, X, U ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T, 
% 1.16/1.60    U ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), W ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( V1, Y, Z, T, V2, X, U ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.16/1.60    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.60    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ), X
% 1.16/1.60     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.16/1.60    Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.16/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.16/1.60    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.16/1.60    Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.16/1.60    X ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 1.16/1.60    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.16/1.60    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.16/1.60     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.16/1.60    , X ) ],
% 1.16/1.60     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, hAPP( V1
% 1.16/1.60    , V2 ), V3, V1, V4 ) ), hBOOL( hAPP( hAPP( W, Z ), V2 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, W ), hAPP( hAPP( V0, W ), Z ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, X, T, V4, Y, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, U ), hAPP( hAPP( V0, U ), Y ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, T, V4, Z, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), hBOOL( hAPP( 
% 1.16/1.60    hAPP( U, Y ), W ) ), hBOOL( hAPP( hAPP( U, W ), Y ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, X, U, V3, V4, Z, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, X, V3, V4, U, Z, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, W ), Y ) ), W ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, X, T, V4, Z, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, U ), Z ) ), U ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, T, V4, Y, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), hBOOL( hAPP( 
% 1.16/1.60    hAPP( U, Z ), W ) ), hBOOL( hAPP( hAPP( U, W ), Z ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, X, U, V3, V4, Y, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, X, V3, V4, U, Y, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, W ), hAPP( hAPP( V0, Z ), W ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, X, T, V4, Y, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, U ), hAPP( hAPP( V0, Y ), U ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, T, V4, Z, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), hBOOL( hAPP( 
% 1.16/1.60    hAPP( U, Y ), W ) ), hBOOL( hAPP( hAPP( U, W ), Y ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, X, U, V3, V4, Z, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, X, V3, V4, U, Z, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, Y ), W ) ), W ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, X, T, V4, Z, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.60    'tc_nat' ) ), Y ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.16/1.60    , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.60    'c_HOL_Oinverse__class_Oinverse'( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.16/1.60    , X ) ), Z ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 1.16/1.60    =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.60     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.60    Z, X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.16/1.60    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.16/1.60    , Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.16/1.60    'c_HOL_Oabs__class_Oabs'( Y, X ) ), Z ) ) ],
% 1.16/1.60     [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.16/1.60     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.60    'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.60    'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.60    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.16/1.60    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.16/1.60    'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.60    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.16/1.60    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.16/1.60    , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.16/1.60     ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.16/1.60     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~( 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.60    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.60     ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.60    , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.16/1.60    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.60     ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.60     ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.60    hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 'tc_nat' ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.60    'tc_nat' ) ) ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.16/1.60    'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.16/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_Suc'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), 
% 1.16/1.60    hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.60    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 
% 1.16/1.60    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.16/1.60     ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, X ) ), 
% 1.16/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), U ) ), X ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Ocomm__ring__1'( X, Y, W, T, V0, V1, Z ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, U ) ), 
% 1.16/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), W ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( X, Y, Z ), U ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), W ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Ocomm__ring__1'( X, Y, V0, T, V1, V2, Z ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T, 
% 1.16/1.60    U ), W ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), V0 ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, Y, V3, X, V4, V5, Z, T, V6, 
% 1.16/1.60    U ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.16/1.60     ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =( 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.16/1.60     ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =( 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.16/1.60     ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), =( 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.16/1.60     ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.16/1.60     ), Y ), Y ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), U ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( X, Y, Z ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.60    X, Y, Z ), T ), U ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 
% 1.16/1.60    'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( Y, hAPP( hAPP( Y, T ), T ) )
% 1.16/1.60    , T ) ), ~( 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.16/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_Int_Oint' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_Int_Oint' ) ) ],
% 1.16/1.60     [ =( 'c_FFT__Mirabelle_OFFT'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.16/1.60     ), X ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.16/1.60    hAPP( 'c_Power_Opower_Opower'( T, U, W ), Z ), 'c_Suc'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), V0 ) ) ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, Y, V3, X, V4, V5, T, U, V6, 
% 1.16/1.60    W ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), 
% 1.16/1.60    U ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), W ) ) ) ), V0 ) ), ~( hBOOL( hAPP( hAPP( 
% 1.16/1.60    X, U ), V0 ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3
% 1.16/1.60    , V4, X, V5, Y, Z, V6, T ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 'c_Suc'( hAPP( 
% 1.16/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), U ) ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( X, Y, Z ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.16/1.60    X, Y, Z ), T ), U ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), ~( 
% 1.16/1.60    'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, X ) ), 
% 1.16/1.60    'c_Suc'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), U ) ) ), hAPP( T, X ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Ocomm__ring__1'( X, Y, W, T, V0, V1, Z ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.60     ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.60     ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( X ), X ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.60    X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.16/1.60    X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.60    X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.60    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.60     ],
% 1.16/1.60     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.16/1.60     ) ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit1'( Y ), X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.60     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), 'c_Int_Oiszero'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OPls', X ) ), Y ) ],
% 1.16/1.60     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.16/1.60     ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.16/1.60    ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y
% 1.16/1.60     ), X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.16/1.60     ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    Y ), X ), X ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.60    , X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.16/1.60    , Y ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.16/1.60    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.16/1.60    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Suc'( Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.16/1.60     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_Suc'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.60     ), Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.60    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.60    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 
% 1.16/1.60    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.60    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) )
% 1.16/1.60    , 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), Y
% 1.16/1.60    , 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) )
% 1.16/1.60    , 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), Y
% 1.16/1.60    , 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.60    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP( 
% 1.16/1.60    hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~( 
% 1.16/1.60    'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T, 
% 1.16/1.60    U ), W ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( W, Y ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, Y, V2, V3, X, V4, Z, T, V5, 
% 1.16/1.60    U ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( T, U, W ), V0 ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.16/1.60    , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), =( V1, Y ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, Z, V4, X, V5, T, U, V6, W
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( T, U, W ), V0 ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.16/1.60    , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), =( V0, Y ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, Z, V4, X, V5, T, U, V6, W
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.16/1.60     [ ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( T, U, W ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.16/1.60    , U, W ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, Y, Z, V2, X, V3, T, U, V4, W
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( Z, T, U ), W ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z
% 1.16/1.60    , T, U ), V0 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), V1 ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V2, V3, V1, Y, V4, X, V5, Z, T, V6, 
% 1.16/1.60    U ) ) ],
% 1.16/1.60     [ ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, 
% 1.16/1.60    T, U ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, Y, V1, V2, X, V3, Z, T, V4, U
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T
% 1.16/1.60     ), U ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), W ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, V3, X, V4, Y, Z, V5, 
% 1.16/1.60    T ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.16/1.60    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2, 
% 1.16/1.60    V3, V4 ) ), =( hAPP( hAPP( T, hAPP( hAPP( 'c_Power_Opower_Opower'( V1, V2
% 1.16/1.60    , V4 ), Z ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( V1, V2, V4 ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), Z ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, U ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y
% 1.16/1.60    , Z ), U ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, V4, T, X, Y, V5, 
% 1.16/1.60    Z ) ) ],
% 1.16/1.60     [ =( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), U ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y
% 1.16/1.60    , Z, T ), U ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, V4, X, Y, Z, V5, 
% 1.16/1.60    T ) ) ],
% 1.16/1.60     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( Z, T, U ), W ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), V0, V1, V2, V3, Z, T, V4, U ) ), =( W, 
% 1.16/1.60    hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T, U ), W ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, Z ), U ) ), U ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, T, V4, Y, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), hBOOL( hAPP( 
% 1.16/1.60    hAPP( U, T ), W ) ), hBOOL( hAPP( hAPP( U, W ), T ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, X, U, V3, V4, Y, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, X, V3, V4, U, Y, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, W ), hAPP( hAPP( V0, W ), Z ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, T, X, V4, Y, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, U ), hAPP( hAPP( V0, U ), Y ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, T, X, V4, Z, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), hBOOL( hAPP( 
% 1.16/1.60    hAPP( U, Y ), W ) ), hBOOL( hAPP( hAPP( U, W ), Y ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, U, X, V3, V4, Z, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, X, V4, U, Z, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, W ), Y ) ), W ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, T, X, V4, Z, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, U ), Z ) ), U ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, T, X, V4, Y, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), hBOOL( hAPP( 
% 1.16/1.60    hAPP( U, Z ), W ) ), hBOOL( hAPP( hAPP( U, W ), Z ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, U, X, V3, V4, Y, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, X, V4, U, Y, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, W ), hAPP( hAPP( V0, Z ), W ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, T, X, V4, Y, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, U ), hAPP( hAPP( V0, Y ), U ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, T, X, V4, Z, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), hBOOL( hAPP( 
% 1.16/1.60    hAPP( U, Y ), W ) ), hBOOL( hAPP( hAPP( U, W ), Y ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, U, X, V3, V4, Z, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, X, V4, U, Z, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, Y ), W ) ), W ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, T, X, V4, Z, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, Z ), U ) ), U ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, T, X, V4, Y, V0, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), hBOOL( hAPP( 
% 1.16/1.60    hAPP( U, T ), W ) ), hBOOL( hAPP( hAPP( U, W ), T ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, U, X, V3, V4, Y, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, X, V4, U, Y, V5, 
% 1.16/1.60    V6 ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.60    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.16/1.60    , X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.60    , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.60    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.60     ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.60    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 1.16/1.60    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.16/1.60    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.60    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.16/1.60    , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.16/1.60     ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.60    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.16/1.60    , Z ), Y ), 'tc_nat' ) ) ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.60    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.16/1.60    , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.16/1.60     ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.60    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.60    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.60    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), 
% 1.16/1.60    ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.60     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.60    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.60    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.60    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), 
% 1.16/1.60    ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.60     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.60     [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.60    'tc_nat' ) ) ) ],
% 1.16/1.60     [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.16/1.60    , Y ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.60    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.16/1.60    , X ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.60    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.16/1.60    , X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.60    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.16/1.60    , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.16/1.60    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.16/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.60     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.60     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.16/1.60    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.60     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.60    , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.60     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.60     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.60     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.60     ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.60     ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.60    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.16/1.60    , X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.60    , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 
% 1.16/1.60    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.60    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.60     ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.60    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 
% 1.16/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X )
% 1.16/1.60     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.60    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), Y ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP( 
% 1.16/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ), 
% 1.16/1.60    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.16/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.16/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'( 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~( 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.60    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( W, V0, Y, Z, V1, X, V2 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( T, Y, Z, U, X, W, V0 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( Z, U, T, W, V0, X, V1 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( T, Y, Z, U, W, X, V0 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), T ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( Z, Y, T, U, W, X, V0 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP( 
% 1.16/1.60    hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, W ), T ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( Z, W, V0, V1, V2, X, V3 ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ), 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.16/1.60    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.16/1.60    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.60     ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP( 
% 1.16/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.60     ), =( 'c_HOL_Oinverse__class_Odivide'( Y, U, X ), 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.16/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.60     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.16/1.60     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.16/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.60     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.16/1.60     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.16/1.60    'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.16/1.60     ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.16/1.60    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.60     ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.16/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.16/1.60    Y, X ), X ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.16/1.60    'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y, X ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y, 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.16/1.60    'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.16/1.60     ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.60    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.60    Y, X ) ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.16/1.60    'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.16/1.60     ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.16/1.60    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.16/1.60    Z, X ) ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.60    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.16/1.60    'c_lessequals'( Z, Y, X ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.60    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.60    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.60    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_Int_Oint' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_Int_Oint' ) ) ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), Z ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( W, V0, 
% 1.16/1.60    V1 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( W, V0, V1 ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( V2, U, W, V0, T, X, V1 ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 1.16/1.60     ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( U, W, 
% 1.16/1.60    V0 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( U, W, V0 ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( V1, T, U, W, X, V2, V0 ) ) ],
% 1.16/1.60     [ =( 'c_NthRoot_Osqrt', 'c_NthRoot_Oroot'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( Y, T ), T ) ), ~( 
% 1.16/1.60    'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T, 
% 1.16/1.60    U ), W ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V0, V1, Y, V2, X, V3, V4, Z, T, V5, 
% 1.16/1.60    U ) ) ],
% 1.16/1.60     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2, 
% 1.16/1.60    V3, V4 ) ), hBOOL( hAPP( hAPP( U, hAPP( hAPP( T, hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( V1, V2, V4 ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( V1
% 1.16/1.60    , V2, V4 ), Z ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), Z ) ) ],
% 1.16/1.60     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( T, U, W ), V0 ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.16/1.60    , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, Z, X, V4, V5, T, U, V6, W
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y
% 1.16/1.60    , Z ), U ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__semidom'( W, V0, X, Y, V1, V2, Z ) ), =( T
% 1.16/1.60    , U ), ~( hBOOL( hAPP( hAPP( V1, V0 ), U ) ) ), ~( hBOOL( hAPP( hAPP( V1
% 1.16/1.60    , V0 ), T ) ) ) ],
% 1.16/1.60     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, hAPP( hAPP( Z, hAPP( 
% 1.16/1.60    hAPP( 'c_Power_Opower_Opower'( T, U, W ), V0 ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.16/1.60    , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), Z, V2, V3, V4, T, U, V5
% 1.16/1.60    , W ) ), =( V1, hAPP( hAPP( Z, hAPP( hAPP( 'c_Power_Opower_Opower'( T, U
% 1.16/1.60    , W ), V0 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( T, U, W ), V1 ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.16/1.60     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, hAPP( hAPP( Z, hAPP( 
% 1.16/1.60    hAPP( 'c_Power_Opower_Opower'( T, U, W ), V0 ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.16/1.60    , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), Z, V2, V3, V4, T, U, V5
% 1.16/1.60    , W ) ), =( V0, hAPP( hAPP( Z, hAPP( hAPP( 'c_Power_Opower_Opower'( T, U
% 1.16/1.60    , W ), V0 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( T, U, W ), V1 ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.16/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.16/1.60    'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X, 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X, 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), 
% 1.16/1.60    ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, U ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y
% 1.16/1.60    , Z ), U ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Ocomm__ring__1'( X, Y, W, T, V0, V1, Z ) ) ],
% 1.16/1.60     [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.16/1.60     ) ), 'c_Complex_Oii' ) ],
% 1.16/1.60     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, hAPP( hAPP( T, hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( U, W, V0 ), V1 ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( U
% 1.16/1.60    , W, V0 ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), Y ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, T, Z, V4, V5, U, W, V6, 
% 1.16/1.60    V0 ) ) ],
% 1.16/1.60     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, hAPP( hAPP( T, hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower_Opower'( U, W, V0 ), X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( U
% 1.16/1.60    , W, V0 ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), Y ) ) ), ~( 
% 1.16/1.60    'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, T, Z, V4, V5, U, W, V6, 
% 1.16/1.60    V0 ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.16/1.60    'tc_nat' ), X ), X ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), T ), ~( 'c_Ring__and__Field_Osemiring__1'( 
% 1.16/1.60    X, Y, T, U, Z ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), ~( 'c_Ring__and__Field_Osemiring__1'( 
% 1.16/1.60    X, Y, T, U, Z ) ) ],
% 1.16/1.60     [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2, 
% 1.16/1.60    V3, V4 ) ), =( hAPP( hAPP( 'c_Power_Opower_Opower'( V1, V2, V4 ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ],
% 1.16/1.60     [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.16/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.16/1.60    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.60     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y )
% 1.16/1.60    , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.16/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 1.16/1.60    Y, X ) ), Z ) ) ],
% 1.16/1.60     [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.16/1.60    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( X, Y ), 'c_Suc'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP( 
% 1.16/1.60    T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~( 
% 1.16/1.60    'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.60     ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.16/1.60    ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.16/1.60    =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.16/1.60    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.16/1.60     ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.16/1.60     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.16/1.60     ), Y ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.16/1.60    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.16/1.60     ), Y ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), 
% 1.16/1.60    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.60    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.16/1.60     ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'( 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.16/1.60     ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.16/1.60    , Y ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.16/1.60     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.16/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.16/1.60    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.16/1.60     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.16/1.60    'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OMin', X ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.60    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.16/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.16/1.60    'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.16/1.60     [ =( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.60    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.16/1.60    , X, Z, U, W, V0 ) ) ],
% 1.16/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( 
% 1.16/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 
% 1.16/1.60    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.16/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.16/1.60     ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Suc'( 'c_Suc'( X ) ) ) ],
% 1.16/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_Suc'( 'c_Suc'( X ) ) ) ],
% 1.16/1.60     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Suc'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.16/1.60    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.60     [ =( 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.16/1.60    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.16/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.60    X ), Y ), Y ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.16/1.60     ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.16/1.60    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.16/1.60    , Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'( 
% 1.16/1.60    X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.16/1.60    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( 'v_i____', hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), 'tc_nat' ) ],
% 1.16/1.60     [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.16/1.60    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), X, Y ), hAPP( 
% 1.16/1.60    'c_FFT__Mirabelle_OFFT'( 'v_ka____', X ), Y ) ), ~( 
% 1.16/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.16/1.60    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.16/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), 'tc_nat' ) )
% 1.16/1.60     ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( 'v_i____', hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_Suc'( 'v_ka____' ) ), 'tc_nat' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.16/1.60     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.16/1.60     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.16/1.60     [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.16/1.60     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.16/1.60     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.16/1.60     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.16/1.60     [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.16/1.60     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.16/1.60     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.16/1.60     [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.16/1.60     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.16/1.60     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.16/1.60     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.16/1.60     [ 'c_HOL_Oord__class_Oless'( 'v_i____', hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), 'tc_nat' ) ],
% 1.16/1.60     [ ~( =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 
% 1.16/1.60    'c_Power_Opower__class_Opower'( 'tc_nat' ), 
% 1.16/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.16/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_Suc'( 'v_ka____' ) ), 'v_a____', 
% 1.16/1.60    'v_i____' ), hAPP( 'c_FFT__Mirabelle_OFFT'( 'c_Suc'( 'v_ka____' ), 
% 1.16/1.60    'v_a____' ), 'v_i____' ) ) ) ],
% 1.16/1.60     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 1.16/1.60    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.16/1.60     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.16/1.60    'class_Orderings_Opreorder'( Y ) ) ],
% 1.16/1.60     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.16/1.60    'class_Orderings_Oorder'( Y ) ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.16/1.60     ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.16/1.60     ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.16/1.60     ],
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.16/1.60    'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.16/1.60    'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.16/1.60    'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.16/1.60     ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.16/1.60     ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.16/1.60    'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.16/1.60    'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.16/1.60    'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.16/1.60    'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 1.16/1.60    'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.16/1.60    'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.16/1.60     ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.16/1.60    'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 
% 1.16/1.60    'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.16/1.60     ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.16/1.60     ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.16/1.60     ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.16/1.60     ],
% 1.16/1.60     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 1.16/1.60    'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.16/1.60    'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.16/1.60    'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.16/1.60     ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.16/1.60     ],
% 1.16/1.60     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.16/1.60     ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.60    ,
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.60     [ 'c_fequal'( X, X, Y ) ],
% 1.16/1.60     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.16/1.60  ] .
% 1.16/1.60  
% 1.16/1.60  
% 1.16/1.60  percentage equality = 0.217524, percentage horn = 0.829474
% 1.16/1.60  This is a problem with some equality
% 1.16/1.60  
% 1.16/1.60  
% 1.16/1.60  
% 1.16/1.60  Options Used:
% 1.16/1.60  
% 1.16/1.60  useres =            1
% 1.16/1.60  useparamod =        1
% 1.16/1.60  useeqrefl =         1
% 1.16/1.60  useeqfact =         1
% 1.16/1.60  usefactor =         1
% 1.16/1.60  usesimpsplitting =  0
% 1.16/1.60  usesimpdemod =      5
% 1.16/1.60  usesimpres =        3
% 1.16/1.60  
% 1.16/1.60  resimpinuse      =  1000
% 1.16/1.60  resimpclauses =     20000
% 1.16/1.60  substype =          eqrewr
% 1.16/1.60  backwardsubs =      1
% 1.16/1.60  selectoldest =      5
% 1.16/1.60  
% 1.16/1.60  litorderings [0] =  split
% 1.16/1.60  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.16/1.60  
% 1.16/1.60  termordering =      kbo
% 1.16/1.60  
% 1.16/1.60  litapriori =        0
% 1.16/1.60  termapriori =       1
% 1.16/1.60  litaposteriori =    0
% 1.16/1.60  termaposteriori =   0
% 1.16/1.60  demodaposteriori =  0
% 1.16/1.60  ordereqreflfact =   0
% 1.16/1.60  
% 1.16/1.60  litselect =         negord
% 1.16/1.60  
% 1.16/1.60  maxweight =         15
% 1.16/1.60  maxdepth =          30000
% 1.16/1.60  maxlength =         115
% 1.16/1.60  maxnrvars =         195
% 1.16/1.60  excuselevel =       1
% 1.16/1.60  increasemaxweight = 1
% 1.16/1.60  
% 1.16/1.60  maxselected =       10000000
% 1.16/1.60  maxnrclauses =      10000000
% 1.16/1.60  
% 1.16/1.60  showgenerated =    0
% 1.16/1.60  showkept =         0
% 1.16/1.60  showselected =     0
% 1.16/1.60  showdeleted =      0
% 1.16/1.60  showresimp =       1
% 1.16/1.60  showstatus =       2000
% 1.16/1.60  
% 1.16/1.60  prologoutput =     1
% 1.16/1.60  nrgoals =          5000000
% 1.16/1.60  totalproof =       1
% 1.16/1.60  
% 1.16/1.60  Symbols occurring in the translation:
% 1.16/1.60  
% 1.16/1.60  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.16/1.60  .  [1, 2]      (w:1, o:154, a:1, s:1, b:0), 
% 1.16/1.60  !  [4, 1]      (w:0, o:73, a:1, s:1, b:0), 
% 1.16/1.60  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.16/1.60  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Oordered__ring__strict'  [40, 1]      (w:1, o:83
% 1.16/1.60    , a:1, s:1, b:0), 
% 1.16/1.60  'c_HOL_Ozero__class_Ozero'  [42, 1]      (w:1, o:84, a:1, s:1, b:0), 
% 1.16/1.60  'c_lessequals'  [43, 3]      (w:1, o:189, a:1, s:1, b:0), 
% 1.16/1.60  'c_HOL_Otimes__class_Otimes'  [45, 1]      (w:1, o:85, a:1, s:1, b:0), 
% 1.16/1.60  hAPP  [46, 2]      (w:1, o:179, a:1, s:1, b:0), 
% 1.16/1.60  'class_Divides_Osemiring__div'  [47, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 1.16/1.60  'c_HOL_Oplus__class_Oplus'  [48, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 1.16/1.60  'c_Divides_Odiv__class_Omod'  [49, 3]      (w:1, o:190, a:1, s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Oordered__idom'  [50, 1]      (w:1, o:90, a:1, s:1
% 1.16/1.60    , b:0), 
% 1.16/1.60  'c_HOL_Oabs__class_Oabs'  [51, 2]      (w:1, o:180, a:1, s:1, b:0), 
% 1.16/1.60  'c_HOL_Oord__class_Oless'  [52, 3]      (w:1, o:191, a:1, s:1, b:0), 
% 1.16/1.60  'c_HOL_Ouminus__class_Ouminus'  [53, 2]      (w:1, o:181, a:1, s:1, b:0), 
% 1.16/1.60  'c_Power_Opower_Opower'  [56, 3]      (w:1, o:193, a:1, s:1, b:0), 
% 1.16/1.60  'tc_nat'  [57, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 1.16/1.60  'c_OrderedGroup_Omonoid__mult'  [60, 3]      (w:1, o:192, a:1, s:1, b:0), 
% 1.16/1.60  'c_Divides_Odiv__class_Odiv'  [61, 3]      (w:1, o:194, a:1, s:1, b:0), 
% 1.16/1.60  'c_Suc'  [63, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 1.16/1.60  'c_Parity_Oeven__odd__class_Oeven'  [64, 2]      (w:1, o:182, a:1, s:1, b:0
% 1.16/1.60    ), 
% 1.16/1.60  'class_Ring__and__Field_Osemiring__0'  [65, 1]      (w:1, o:96, a:1, s:1
% 1.16/1.60    , b:0), 
% 1.16/1.60  'class_Power_Opower'  [66, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 1.16/1.60  'c_Power_Opower__class_Opower'  [67, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Ozero__neq__one'  [68, 1]      (w:1, o:123, a:1, s:
% 1.16/1.60    1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Ono__zero__divisors'  [69, 1]      (w:1, o:82, a:1
% 1.16/1.60    , s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Omult__zero'  [70, 1]      (w:1, o:79, a:1, s:1, b:
% 1.16/1.60    0), 
% 1.16/1.60  'class_Ring__and__Field_Oordered__field'  [71, 1]      (w:1, o:124, a:1, s:
% 1.16/1.60    1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Odivision__by__zero'  [72, 1]      (w:1, o:128, a:1
% 1.16/1.60    , s:1, b:0), 
% 1.16/1.60  'class_Int_Onumber'  [73, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 1.16/1.60  'c_Int_Onumber__class_Onumber__of'  [75, 2]      (w:1, o:184, a:1, s:1, b:0
% 1.16/1.60    ), 
% 1.16/1.60  'c_HOL_Oinverse__class_Odivide'  [76, 3]      (w:1, o:195, a:1, s:1, b:0), 
% 1.16/1.60    
% 1.16/1.60  'class_Ring__and__Field_Ocomm__semiring__1'  [78, 1]      (w:1, o:126, a:1
% 1.16/1.60    , s:1, b:0), 
% 1.16/1.60  'c_HOL_Oone__class_Oone'  [79, 1]      (w:1, o:88, a:1, s:1, b:0), 
% 1.16/1.60  'class_OrderedGroup_Opordered__ab__group__add'  [81, 1]      (w:1, o:99, a:
% 1.16/1.60    1, s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Ofield'  [82, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 1.16/1.60    
% 1.16/1.60  'c_HOL_Oinverse__class_Oinverse'  [83, 2]      (w:1, o:183, a:1, s:1, b:0)
% 1.16/1.60    , 
% 1.16/1.60  'class_Ring__and__Field_Oordered__semiring__strict'  [84, 1]      (w:1, o:
% 1.16/1.60    131, a:1, s:1, b:0), 
% 1.16/1.60  'class_OrderedGroup_Opordered__ab__group__add__abs'  [85, 1]      (w:1, o:
% 1.16/1.60    100, a:1, s:1, b:0), 
% 1.16/1.60  'class_OrderedGroup_Ocomm__monoid__add'  [86, 1]      (w:1, o:101, a:1, s:1
% 1.16/1.60    , b:0), 
% 1.16/1.60  hBOOL  [88, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 1.16/1.60  'c_Ring__and__Field_Oordered__semidom'  [92, 7]      (w:1, o:200, a:1, s:1
% 1.16/1.60    , b:0), 
% 1.16/1.60  'class_OrderedGroup_Ogroup__add'  [93, 1]      (w:1, o:102, a:1, s:1, b:0)
% 1.16/1.60    , 
% 1.16/1.60  'c_Ring__and__Field_Oordered__idom'  [98, 11]      (w:1, o:202, a:1, s:1
% 1.16/1.60    , b:0), 
% 1.16/1.60  'class_Ring__and__Field_Oordered__semidom'  [99, 1]      (w:1, o:133, a:1
% 1.16/1.60    , s:1, b:0), 
% 1.16/1.60  'c_NthRoot_Osqrt'  [101, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Omult__mono1'  [105, 1]      (w:1, o:80, a:1, s:1
% 1.16/1.60    , b:0), 
% 1.16/1.60  'class_Ring__and__Field_Omult__mono'  [106, 1]      (w:1, o:81, a:1, s:1
% 1.16/1.60    , b:0), 
% 1.16/1.60  'class_Ring__and__Field_Opordered__ring'  [107, 1]      (w:1, o:136, a:1
% 1.16/1.60    , s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Oidom'  [109, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 1.16/1.60    
% 1.16/1.60  'class_Int_Onumber__ring'  [110, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Odivision__ring'  [111, 1]      (w:1, o:139, a:1
% 1.16/1.60    , s:1, b:0), 
% 1.16/1.60  'c_NthRoot_Oroot'  [113, 1]      (w:1, o:140, a:1, s:1, b:0), 
% 1.16/1.60  'c_Int_OMin'  [114, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 1.16/1.60  'class_OrderedGroup_Oab__semigroup__idem__mult'  [115, 1]      (w:1, o:103
% 1.16/1.60    , a:1, s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Osemiring__1'  [116, 1]      (w:1, o:141, a:1, s:1
% 1.16/1.60    , b:0), 
% 1.16/1.60  'c_Nat_Osemiring__1__class_Oof__nat'  [117, 2]      (w:1, o:185, a:1, s:1
% 1.16/1.60    , b:0), 
% 1.16/1.60  'class_Orderings_Oorder'  [118, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 1.16/1.60  'class_Orderings_Olinorder'  [119, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 1.16/1.60  'class_Ring__and__Field_Opordered__cancel__semiring'  [120, 1]      (w:1
% 1.16/1.60    , o:142, a:1, s:1, b:0), 
% 1.16/1.60  'class_OrderedGroup_Oab__semigroup__mult'  [121, 1]      (w:1, o:106, a:1
% 8.72/9.13    , s:1, b:0), 
% 8.72/9.13  'class_OrderedGroup_Olordered__ab__group__add'  [122, 1]      (w:1, o:107
% 8.72/9.13    , a:1, s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Oring'  [123, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Opordered__ring__abs'  [124, 1]      (w:1, o:143
% 8.72/9.13    , a:1, s:1, b:0), 
% 8.72/9.13  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [125, 1]      
% 8.72/9.13    (w:1, o:108, a:1, s:1, b:0), 
% 8.72/9.13  'class_OrderedGroup_Opordered__ab__semigroup__add'  [126, 1]      (w:1, o:
% 8.72/9.13    109, a:1, s:1, b:0), 
% 8.72/9.13  'class_Lattices_Oboolean__algebra'  [128, 1]      (w:1, o:144, a:1, s:1, b:
% 8.72/9.13    0), 
% 8.72/9.13  'class_OrderedGroup_Olordered__ab__group__add__abs'  [129, 1]      (w:1, o:
% 8.72/9.13    110, a:1, s:1, b:0), 
% 8.72/9.13  'class_OrderedGroup_Opordered__comm__monoid__add'  [134, 1]      (w:1, o:
% 8.72/9.13    111, a:1, s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Oring__no__zero__divisors'  [136, 1]      (w:1, o:
% 8.72/9.13    93, a:1, s:1, b:0), 
% 8.72/9.13  'class_RealVector_Oreal__normed__algebra'  [137, 1]      (w:1, o:145, a:1
% 8.72/9.13    , s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Ocomm__semiring'  [142, 1]      (w:1, o:127, a:1
% 8.72/9.13    , s:1, b:0), 
% 8.72/9.13  'c_Groebner__Basis_Ogb__semiring'  [150, 6]      (w:1, o:199, a:1, s:1, b:0
% 8.72/9.13    ), 
% 8.72/9.13  'class_OrderedGroup_Oordered__ab__group__add'  [151, 1]      (w:1, o:98, a:
% 8.72/9.13    1, s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Opordered__semiring'  [152, 1]      (w:1, o:146, a:
% 8.72/9.13    1, s:1, b:0), 
% 8.72/9.13  'class_Divides_Oring__div'  [153, 1]      (w:1, o:86, a:1, s:1, b:0), 
% 8.72/9.13  'tc_Int_Oint'  [154, 0]      (w:1, o:60, a:1, s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Oabs__if'  [155, 1]      (w:1, o:147, a:1, s:1, b:0
% 8.72/9.13    ), 
% 8.72/9.13  'class_Ring__and__Field_Oordered__semiring'  [156, 1]      (w:1, o:134, a:1
% 8.72/9.13    , s:1, b:0), 
% 8.72/9.13  'class_Nat_Osemiring__char__0'  [157, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Olordered__ring'  [158, 1]      (w:1, o:78, a:1, s:
% 8.72/9.13    1, b:0), 
% 8.72/9.13  'c_Int_OBit0'  [159, 1]      (w:1, o:148, a:1, s:1, b:0), 
% 8.72/9.13  'class_OrderedGroup_Omonoid__mult'  [160, 1]      (w:1, o:112, a:1, s:1, b:
% 8.72/9.13    0), 
% 8.72/9.13  'class_OrderedGroup_Ocomm__monoid__mult'  [161, 1]      (w:1, o:113, a:1
% 8.72/9.13    , s:1, b:0), 
% 8.72/9.13  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [162, 1]      (w:1, o:114
% 8.72/9.13    , a:1, s:1, b:0), 
% 8.72/9.13  'class_OrderedGroup_Ocancel__semigroup__add'  [163, 1]      (w:1, o:115, a:
% 8.72/9.13    1, s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Ocomm__ring__1'  [164, 1]      (w:1, o:125, a:1, s:
% 8.72/9.13    1, b:0), 
% 8.72/9.13  'class_Orderings_Opreorder'  [165, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 8.72/9.13  'class_OrderedGroup_Oab__group__add'  [166, 1]      (w:1, o:117, a:1, s:1
% 8.72/9.13    , b:0), 
% 8.72/9.13  'class_OrderedGroup_Oab__semigroup__add'  [167, 1]      (w:1, o:118, a:1
% 8.72/9.13    , s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Osemiring'  [168, 1]      (w:1, o:149, a:1, s:1, b:
% 8.72/9.13    0), 
% 8.72/9.13  'class_RealVector_Oreal__normed__field'  [170, 1]      (w:1, o:150, a:1, s:
% 8.72/9.13    1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Oring__1'  [174, 1]      (w:1, o:94, a:1, s:1, b:0)
% 8.72/9.13    , 
% 8.72/9.13  'c_Int_Oiszero'  [175, 2]      (w:1, o:186, a:1, s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [176, 1]      
% 8.72/9.13    (w:1, o:135, a:1, s:1, b:0), 
% 8.72/9.13  'c_Int_OPls'  [177, 0]      (w:1, o:62, a:1, s:1, b:0), 
% 8.72/9.13  'class_OrderedGroup_Omonoid__add'  [178, 1]      (w:1, o:119, a:1, s:1, b:0
% 8.72/9.13    ), 
% 8.72/9.13  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [179, 1]      
% 8.72/9.13    (w:1, o:120, a:1, s:1, b:0), 
% 8.72/9.13  'c_Int_OBit1'  [180, 1]      (w:1, o:151, a:1, s:1, b:0), 
% 8.72/9.13  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [183, 1]      (w:1
% 8.72/9.13    , o:95, a:1, s:1, b:0), 
% 8.72/9.13  'c_Ring__and__Field_Ocomm__ring__1'  [184, 7]      (w:1, o:201, a:1, s:1
% 8.72/9.13    , b:0), 
% 8.72/9.13  'c_FFT__Mirabelle_OFFT'  [185, 2]      (w:1, o:187, a:1, s:1, b:0), 
% 8.72/9.13  'class_Int_Oring__char__0'  [186, 1]      (w:1, o:152, a:1, s:1, b:0), 
% 8.72/9.13  'c_FFT__Mirabelle_Oroot'  [187, 1]      (w:1, o:153, a:1, s:1, b:0), 
% 8.72/9.13  'c_Complex_Oii'  [188, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 8.72/9.13  'c_Ring__and__Field_Osemiring__1'  [189, 5]      (w:1, o:198, a:1, s:1, b:0
% 8.72/9.13    ), 
% 8.72/9.13  'v_i____'  [190, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 8.72/9.13  'v_ka____'  [191, 0]      (w:1, o:65, a:1, s:1, b:0), 
% 8.72/9.13  'c_FFT__Mirabelle_ODFT'  [192, 3]      (w:1, o:196, a:1, s:1, b:0), 
% 8.72/9.13  'v_a____'  [194, 0]      (w:1, o:66, a:1, s:1, b:0), 
% 8.72/9.13  'tc_fun'  [197, 2]      (w:1, o:188, a:1, s:1, b:0), 
% 36.43/36.86  'tc_RealDef_Oreal'  [198, 0]      (w:1, o:69, a:1, s:1, b:0), 
% 36.43/36.86  'tc_Complex_Ocomplex'  [199, 0]      (w:1, o:70, a:1, s:1, b:0), 
% 36.43/36.86  'c_fequal'  [200, 3]      (w:1, o:197, a:1, s:1, b:0).
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Starting Search:
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    3234
% 36.43/36.86  Kept:         2001
% 36.43/36.86  Inuse:        127
% 36.43/36.86  Deleted:      9
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    10639
% 36.43/36.86  Kept:         4211
% 36.43/36.86  Inuse:        237
% 36.43/36.86  Deleted:      14
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    20133
% 36.43/36.86  Kept:         6315
% 36.43/36.86  Inuse:        253
% 36.43/36.86  Deleted:      14
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    28216
% 36.43/36.86  Kept:         8371
% 36.43/36.86  Inuse:        343
% 36.43/36.86  Deleted:      18
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    50532
% 36.43/36.86  Kept:         10937
% 36.43/36.86  Inuse:        378
% 36.43/36.86  Deleted:      18
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    60974
% 36.43/36.86  Kept:         13766
% 36.43/36.86  Inuse:        451
% 36.43/36.86  Deleted:      25
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    66841
% 36.43/36.86  Kept:         15786
% 36.43/36.86  Inuse:        478
% 36.43/36.86  Deleted:      25
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    79452
% 36.43/36.86  Kept:         18554
% 36.43/36.86  Inuse:        506
% 36.43/36.86  Deleted:      25
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying clauses:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    91275
% 36.43/36.86  Kept:         20660
% 36.43/36.86  Inuse:        529
% 36.43/36.86  Deleted:      285
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    95978
% 36.43/36.86  Kept:         22688
% 36.43/36.86  Inuse:        539
% 36.43/36.86  Deleted:      285
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    103961
% 36.43/36.86  Kept:         24712
% 36.43/36.86  Inuse:        584
% 36.43/36.86  Deleted:      285
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    111380
% 36.43/36.86  Kept:         26712
% 36.43/36.86  Inuse:        635
% 36.43/36.86  Deleted:      285
% 36.43/36.86  Deletedinuse: 0
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    121949
% 36.43/36.86  Kept:         29013
% 36.43/36.86  Inuse:        654
% 36.43/36.86  Deleted:      286
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    131838
% 36.43/36.86  Kept:         31100
% 36.43/36.86  Inuse:        664
% 36.43/36.86  Deleted:      286
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    142849
% 36.43/36.86  Kept:         33712
% 36.43/36.86  Inuse:        679
% 36.43/36.86  Deleted:      286
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    150948
% 36.43/36.86  Kept:         35728
% 36.43/36.86  Inuse:        709
% 36.43/36.86  Deleted:      286
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    157576
% 36.43/36.86  Kept:         38426
% 36.43/36.86  Inuse:        724
% 36.43/36.86  Deleted:      286
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    165379
% 36.43/36.86  Kept:         40440
% 36.43/36.86  Inuse:        734
% 36.43/36.86  Deleted:      286
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying clauses:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    172886
% 36.43/36.86  Kept:         42519
% 36.43/36.86  Inuse:        774
% 36.43/36.86  Deleted:      395
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    182304
% 36.43/36.86  Kept:         44751
% 36.43/36.86  Inuse:        799
% 36.43/36.86  Deleted:      395
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    188680
% 36.43/36.86  Kept:         46873
% 36.43/36.86  Inuse:        829
% 36.43/36.86  Deleted:      395
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    195864
% 36.43/36.86  Kept:         49251
% 36.43/36.86  Inuse:        844
% 36.43/36.86  Deleted:      395
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    202835
% 36.43/36.86  Kept:         51306
% 36.43/36.86  Inuse:        874
% 36.43/36.86  Deleted:      395
% 36.43/36.86  Deletedinuse: 1
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  Resimplifying inuse:
% 36.43/36.86  Done
% 36.43/36.86  
% 36.43/36.86  
% 36.43/36.86  Intermediate Status:
% 36.43/36.86  Generated:    221997
% 36.43/36.86  Kept:         55106
% 84.92/85.33  Inuse:        909
% 84.92/85.33  Deleted:      395
% 84.92/85.33  Deletedinuse: 1
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    232077
% 84.92/85.33  Kept:         57465
% 84.92/85.33  Inuse:        944
% 84.92/85.33  Deleted:      395
% 84.92/85.33  Deletedinuse: 1
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    239891
% 84.92/85.33  Kept:         59518
% 84.92/85.33  Inuse:        969
% 84.92/85.33  Deleted:      395
% 84.92/85.33  Deletedinuse: 1
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    247568
% 84.92/85.33  Kept:         61563
% 84.92/85.33  Inuse:        984
% 84.92/85.33  Deleted:      395
% 84.92/85.33  Deletedinuse: 1
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying clauses:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    259032
% 84.92/85.33  Kept:         64399
% 84.92/85.33  Inuse:        1023
% 84.92/85.33  Deleted:      1194
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    264301
% 84.92/85.33  Kept:         66399
% 84.92/85.33  Inuse:        1031
% 84.92/85.33  Deleted:      1194
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    280901
% 84.92/85.33  Kept:         69698
% 84.92/85.33  Inuse:        1043
% 84.92/85.33  Deleted:      1194
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    296588
% 84.92/85.33  Kept:         72810
% 84.92/85.33  Inuse:        1053
% 84.92/85.33  Deleted:      1194
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    310579
% 84.92/85.33  Kept:         76583
% 84.92/85.33  Inuse:        1090
% 84.92/85.33  Deleted:      1194
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    322109
% 84.92/85.33  Kept:         79736
% 84.92/85.33  Inuse:        1098
% 84.92/85.33  Deleted:      1194
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    333471
% 84.92/85.33  Kept:         82031
% 84.92/85.33  Inuse:        1108
% 84.92/85.33  Deleted:      1194
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying clauses:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    345981
% 84.92/85.33  Kept:         84378
% 84.92/85.33  Inuse:        1118
% 84.92/85.33  Deleted:      1585
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    356696
% 84.92/85.33  Kept:         86980
% 84.92/85.33  Inuse:        1128
% 84.92/85.33  Deleted:      1585
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    366975
% 84.92/85.33  Kept:         89003
% 84.92/85.33  Inuse:        1149
% 84.92/85.33  Deleted:      1585
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    377229
% 84.92/85.33  Kept:         91004
% 84.92/85.33  Inuse:        1169
% 84.92/85.33  Deleted:      1585
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    386948
% 84.92/85.33  Kept:         93384
% 84.92/85.33  Inuse:        1193
% 84.92/85.33  Deleted:      1585
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    396829
% 84.92/85.33  Kept:         95868
% 84.92/85.33  Inuse:        1213
% 84.92/85.33  Deleted:      1585
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    431803
% 84.92/85.33  Kept:         100722
% 84.92/85.33  Inuse:        1238
% 84.92/85.33  Deleted:      1585
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    454913
% 84.92/85.33  Kept:         104465
% 84.92/85.33  Inuse:        1248
% 84.92/85.33  Deleted:      1585
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying clauses:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    476037
% 84.92/85.33  Kept:         107375
% 84.92/85.33  Inuse:        1253
% 84.92/85.33  Deleted:      1730
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    488367
% 84.92/85.33  Kept:         109709
% 84.92/85.33  Inuse:        1268
% 84.92/85.33  Deleted:      1730
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    505213
% 84.92/85.33  Kept:         113576
% 84.92/85.33  Inuse:        1278
% 84.92/85.33  Deleted:      1730
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    515233
% 84.92/85.33  Kept:         115597
% 84.92/85.33  Inuse:        1283
% 84.92/85.33  Deleted:      1730
% 84.92/85.33  Deletedinuse: 5
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    522932
% 84.92/85.33  Kept:         117619
% 84.92/85.33  Inuse:        1293
% 84.92/85.33  Deleted:      1731
% 84.92/85.33  Deletedinuse: 6
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  
% 84.92/85.33  Intermediate Status:
% 84.92/85.33  Generated:    557304
% 84.92/85.33  Kept:         123229
% 84.92/85.33  Inuse:        1312
% 84.92/85.33  Deleted:      1737
% 84.92/85.33  Deletedinuse: 6
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 84.92/85.33  
% 84.92/85.33  Resimplifying inuse:
% 84.92/85.33  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying clauses:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    564789
% 155.33/155.79  Kept:         125517
% 155.33/155.79  Inuse:        1327
% 155.33/155.79  Deleted:      2013
% 155.33/155.79  Deletedinuse: 6
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    571547
% 155.33/155.79  Kept:         127623
% 155.33/155.79  Inuse:        1342
% 155.33/155.79  Deleted:      2013
% 155.33/155.79  Deletedinuse: 6
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    583452
% 155.33/155.79  Kept:         130935
% 155.33/155.79  Inuse:        1357
% 155.33/155.79  Deleted:      2013
% 155.33/155.79  Deletedinuse: 6
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    591391
% 155.33/155.79  Kept:         133884
% 155.33/155.79  Inuse:        1362
% 155.33/155.79  Deleted:      2013
% 155.33/155.79  Deletedinuse: 6
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    604322
% 155.33/155.79  Kept:         137156
% 155.33/155.79  Inuse:        1367
% 155.33/155.79  Deleted:      2013
% 155.33/155.79  Deletedinuse: 6
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    617667
% 155.33/155.79  Kept:         140340
% 155.33/155.79  Inuse:        1372
% 155.33/155.79  Deleted:      2013
% 155.33/155.79  Deletedinuse: 6
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    627606
% 155.33/155.79  Kept:         142681
% 155.33/155.79  Inuse:        1397
% 155.33/155.79  Deleted:      2013
% 155.33/155.79  Deletedinuse: 6
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    640310
% 155.33/155.79  Kept:         144838
% 155.33/155.79  Inuse:        1422
% 155.33/155.79  Deleted:      2013
% 155.33/155.79  Deletedinuse: 6
% 155.33/155.79  
% 155.33/155.79  Resimplifying clauses:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    651454
% 155.33/155.79  Kept:         146853
% 155.33/155.79  Inuse:        1445
% 155.33/155.79  Deleted:      2707
% 155.33/155.79  Deletedinuse: 13
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    661295
% 155.33/155.79  Kept:         149115
% 155.33/155.79  Inuse:        1467
% 155.33/155.79  Deleted:      2707
% 155.33/155.79  Deletedinuse: 13
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    675237
% 155.33/155.79  Kept:         151406
% 155.33/155.79  Inuse:        1492
% 155.33/155.79  Deleted:      2707
% 155.33/155.79  Deletedinuse: 13
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    686933
% 155.33/155.79  Kept:         153711
% 155.33/155.79  Inuse:        1512
% 155.33/155.79  Deleted:      2707
% 155.33/155.79  Deletedinuse: 13
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    700074
% 155.33/155.79  Kept:         155716
% 155.33/155.79  Inuse:        1540
% 155.33/155.79  Deleted:      2707
% 155.33/155.79  Deletedinuse: 13
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    718345
% 155.33/155.79  Kept:         158896
% 155.33/155.79  Inuse:        1562
% 155.33/155.79  Deleted:      2707
% 155.33/155.79  Deletedinuse: 13
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    728373
% 155.33/155.79  Kept:         160896
% 155.33/155.79  Inuse:        1587
% 155.33/155.79  Deleted:      2707
% 155.33/155.79  Deletedinuse: 13
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    739373
% 155.33/155.79  Kept:         163132
% 155.33/155.79  Inuse:        1592
% 155.33/155.79  Deleted:      2707
% 155.33/155.79  Deletedinuse: 13
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    779142
% 155.33/155.79  Kept:         166779
% 155.33/155.79  Inuse:        1622
% 155.33/155.79  Deleted:      2708
% 155.33/155.79  Deletedinuse: 14
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying clauses:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    788066
% 155.33/155.79  Kept:         169428
% 155.33/155.79  Inuse:        1632
% 155.33/155.79  Deleted:      2967
% 155.33/155.79  Deletedinuse: 15
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    797460
% 155.33/155.79  Kept:         172328
% 155.33/155.79  Inuse:        1642
% 155.33/155.79  Deleted:      2967
% 155.33/155.79  Deletedinuse: 15
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    809669
% 155.33/155.79  Kept:         174653
% 155.33/155.79  Inuse:        1662
% 155.33/155.79  Deleted:      2967
% 155.33/155.79  Deletedinuse: 15
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    823444
% 155.33/155.79  Kept:         177446
% 155.33/155.79  Inuse:        1682
% 155.33/155.79  Deleted:      2967
% 155.33/155.79  Deletedinuse: 15
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    835286
% 155.33/155.79  Kept:         179825
% 155.33/155.79  Inuse:        1697
% 155.33/155.79  Deleted:      2967
% 155.33/155.79  Deletedinuse: 15
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    844992
% 155.33/155.79  Kept:         181825
% 155.33/155.79  Inuse:        1710
% 155.33/155.79  Deleted:      2967
% 155.33/155.79  Deletedinuse: 15
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    856464
% 155.33/155.79  Kept:         183876
% 155.33/155.79  Inuse:        1722
% 155.33/155.79  Deleted:      2967
% 155.33/155.79  Deletedinuse: 15
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  Resimplifying inuse:
% 155.33/155.79  Done
% 155.33/155.79  
% 155.33/155.79  
% 155.33/155.79  Intermediate Status:
% 155.33/155.79  Generated:    864572
% 155.33/155.79  Kept:         186152
% 155.33/155.79  Inuse:        1732
% 277.47/277.99  Deleted:      2967
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying clauses:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    879458
% 277.47/277.99  Kept:         188492
% 277.47/277.99  Inuse:        1757
% 277.47/277.99  Deleted:      3319
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    901788
% 277.47/277.99  Kept:         191173
% 277.47/277.99  Inuse:        1777
% 277.47/277.99  Deleted:      3319
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    919485
% 277.47/277.99  Kept:         193179
% 277.47/277.99  Inuse:        1785
% 277.47/277.99  Deleted:      3319
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    950915
% 277.47/277.99  Kept:         196935
% 277.47/277.99  Inuse:        1792
% 277.47/277.99  Deleted:      3319
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    969036
% 277.47/277.99  Kept:         198939
% 277.47/277.99  Inuse:        1801
% 277.47/277.99  Deleted:      3319
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    989018
% 277.47/277.99  Kept:         202285
% 277.47/277.99  Inuse:        1807
% 277.47/277.99  Deleted:      3319
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    996060
% 277.47/277.99  Kept:         204301
% 277.47/277.99  Inuse:        1817
% 277.47/277.99  Deleted:      3319
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1010123
% 277.47/277.99  Kept:         206626
% 277.47/277.99  Inuse:        1837
% 277.47/277.99  Deleted:      3319
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1047657
% 277.47/277.99  Kept:         210849
% 277.47/277.99  Inuse:        1842
% 277.47/277.99  Deleted:      3319
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying clauses:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1065320
% 277.47/277.99  Kept:         214362
% 277.47/277.99  Inuse:        1857
% 277.47/277.99  Deleted:      3444
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1079037
% 277.47/277.99  Kept:         217049
% 277.47/277.99  Inuse:        1867
% 277.47/277.99  Deleted:      3444
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1100663
% 277.47/277.99  Kept:         222019
% 277.47/277.99  Inuse:        1877
% 277.47/277.99  Deleted:      3444
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1108030
% 277.47/277.99  Kept:         224073
% 277.47/277.99  Inuse:        1887
% 277.47/277.99  Deleted:      3444
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1115446
% 277.47/277.99  Kept:         226784
% 277.47/277.99  Inuse:        1888
% 277.47/277.99  Deleted:      3444
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1122121
% 277.47/277.99  Kept:         228786
% 277.47/277.99  Inuse:        1898
% 277.47/277.99  Deleted:      3444
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1131050
% 277.47/277.99  Kept:         230877
% 277.47/277.99  Inuse:        1917
% 277.47/277.99  Deleted:      3444
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying clauses:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1144642
% 277.47/277.99  Kept:         232920
% 277.47/277.99  Inuse:        1935
% 277.47/277.99  Deleted:      3570
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1158450
% 277.47/277.99  Kept:         234949
% 277.47/277.99  Inuse:        1961
% 277.47/277.99  Deleted:      3570
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1169769
% 277.47/277.99  Kept:         237275
% 277.47/277.99  Inuse:        1977
% 277.47/277.99  Deleted:      3570
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1180152
% 277.47/277.99  Kept:         239562
% 277.47/277.99  Inuse:        1997
% 277.47/277.99  Deleted:      3570
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1194906
% 277.47/277.99  Kept:         241992
% 277.47/277.99  Inuse:        2017
% 277.47/277.99  Deleted:      3570
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1211083
% 277.47/277.99  Kept:         244784
% 277.47/277.99  Inuse:        2037
% 277.47/277.99  Deleted:      3570
% 277.47/277.99  Deletedinuse: 15
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1219595
% 277.47/277.99  Kept:         246789
% 277.47/277.99  Inuse:        2055
% 277.47/277.99  Deleted:      3571
% 277.47/277.99  Deletedinuse: 16
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  Done
% 277.47/277.99  
% 277.47/277.99  
% 277.47/277.99  Intermediate Status:
% 277.47/277.99  Generated:    1231386
% 277.47/277.99  Kept:         249546
% 277.47/277.99  Inuse:        2062
% 277.47/277.99  Deleted:      3571
% 277.47/277.99  Deletedinuse: 16
% 277.47/277.99  
% 277.47/277.99  Resimplifying inuse:
% 277.47/277.99  DCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------