%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV612-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n014.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 16:27:07 EDT 2022

% Result   : Timeout 296.20s 296.69s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV612-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Tue Jun 14 20:18:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.01/1.41  *** allocated 10000 integers for termspace/termends
% 1.01/1.41  *** allocated 10000 integers for clauses
% 1.01/1.41  *** allocated 10000 integers for justifications
% 1.01/1.41  *** allocated 15000 integers for termspace/termends
% 1.01/1.41  *** allocated 22500 integers for termspace/termends
% 1.01/1.41  *** allocated 33750 integers for termspace/termends
% 1.01/1.41  Bliksem 1.12
% 1.01/1.41  
% 1.01/1.41  
% 1.01/1.41  Automatic Strategy Selection
% 1.01/1.41  
% 1.01/1.41  Clauses:
% 1.01/1.41  [
% 1.01/1.41     [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.41    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.41    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 1.01/1.41     ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.41    'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.01/1.41     ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.41    'tc_nat' ), X ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Y, X )
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ) ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ) ) ],
% 1.01/1.41     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.41    'tc_nat' ), X ) ) ), =( Y, Z ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.01/1.41     ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.41    , X ), Y ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.41    , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.01/1.41    ,
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.41    , X ), Y ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.01/1.41     ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.41    , X ), Y ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.01/1.41     ) ],
% 1.01/1.41     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.01/1.41     ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41    , Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.01/1.41     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41    , Y, X ) ) ],
% 1.01/1.41     [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41    , Y, X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.01/1.41    'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.41    , X ), Z ), X ) ) ],
% 1.01/1.41     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( 
% 1.01/1.41    'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.41    , X ), Z ), X ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.01/1.41    'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.01/1.41     ), Z ), Y, X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.01/1.41    'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.41    , X ), Z ), X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.41     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.01/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.01/1.41     ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), Y ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.01/1.41     ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.01/1.41     ), X ), Y ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.01/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.41     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.01/1.41     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.41    Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41    , Z, X ), X ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41    , Z, X ), X ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41    , Y, X ), X ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.41    , Z, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.41     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41     ), X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41     ), X ), X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41    , Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.01/1.41     ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T
% 1.01/1.41     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.41     ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ), 
% 1.01/1.41    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41    , T, X ), X ) ) ],
% 1.01/1.41     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.01/1.41     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.01/1.41    'tc_bool' ) ), X ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.41    X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41     ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), T ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.41    X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41     ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.41    Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.41    X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Y, X )
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.01/1.41    ,
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) )
% 1.01/1.41     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.41    'tc_nat' ), X ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    X ), X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.41     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Z, Y, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.41     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ]
% 1.01/1.41    ,
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ]
% 1.01/1.41    ,
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.01/1.41     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.01/1.41    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 1.01/1.41    'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.01/1.41     [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, 'c_Suc'( Y ), 
% 1.01/1.41    'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.01/1.41     ) ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z
% 1.01/1.41     ), X, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z )
% 1.01/1.41    , Y, 'tc_nat' ) ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Suc'( X ), Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Suc'( X ), Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.01/1.41     ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 
% 1.01/1.41    'tc_nat' ), Y ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.01/1.41     [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_Suc'( Y ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ), 
% 1.01/1.41    hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.01/1.41    X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.41     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41     ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41    , X ), X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41     ), X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.41     ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    T, X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    T, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41    , X ), X ), X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41     ), X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' )
% 1.01/1.41    , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ) )
% 1.01/1.41     ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X
% 1.01/1.41     ), Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 1.01/1.41    , Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) )
% 1.01/1.41     ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 1.01/1.41    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.01/1.41    Y, Z, X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.01/1.41    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.01/1.41    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( X ) )
% 1.01/1.41     ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    T, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41     ), X ), X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41     ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41    , X ), X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41     ), X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41     ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    T, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41    , X ), X ), X ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ) ) ) ],
% 1.01/1.41     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 1.01/1.41    Y, X ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.01/1.41    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.41    Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41     ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.01/1.41    'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.01/1.41    , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.01/1.41     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 
% 1.01/1.41    'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.01/1.41    'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.01/1.41    'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.01/1.41    , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 
% 1.01/1.41    'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.01/1.41    , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Z ) ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41    , X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41     ), Y ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41     ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41     ) ) ],
% 1.01/1.41     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41     ), Y ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41     ), Y ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), 
% 1.01/1.41    'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.01/1.41     ), Y ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) )
% 1.01/1.41     ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), 
% 1.01/1.41    'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.01/1.41     ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Z
% 1.01/1.41     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Z
% 1.01/1.41     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 1.01/1.41     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 1.01/1.41     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Z ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.41    , Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Z ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.41    , Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.01/1.41     ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.01/1.41     ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41    , X ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.01/1.41     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.01/1.41    , X ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41     ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.01/1.41     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.01/1.41     [ =( 'c_SetInterval_Oord__class_OlessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.01/1.41    'tc_nat', 'tc_bool' ) ) ) ],
% 1.01/1.41     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.01/1.41     ) ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.01/1.41    , 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.01/1.41    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 1.01/1.41    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.41    , X ) ) ), =( Y, Z ) ],
% 1.01/1.41     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.41    , X ) ) ), =( Y, Z ) ],
% 1.01/1.41     [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'( 
% 1.01/1.41    'c_Suc'( 'v_n' ), 'tc_nat' ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.01/1.41     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.01/1.41     [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 
% 1.01/1.41    Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.01/1.41     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.01/1.41     ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.01/1.41     ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.41    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41    , Z, X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.41    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.01/1.41    X ), X ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) )
% 1.01/1.41     ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.01/1.41     ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.41    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.41    X ), Z ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.41    Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.01/1.41    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.01/1.41     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.01/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.01/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.01/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.01/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    X ), X ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.41    X ), X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.01/1.41    ,
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.01/1.41    ,
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.01/1.41    , X ), Z, X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.41    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.01/1.41    , X ), Z, X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.41    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.01/1.41    , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.01/1.41     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.01/1.41     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.41     ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.01/1.41    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 1.01/1.41    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.01/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.01/1.41    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 1.01/1.41    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.01/1.41     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( 
% 1.01/1.41    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.01/1.41     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.01/1.41     ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.01/1.41     ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.01/1.41    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.01/1.41     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.01/1.41     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ]
% 1.01/1.41    ,
% 1.01/1.41     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.01/1.41    hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41    , Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.01/1.41     ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.41    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.01/1.41     [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 1.01/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.01/1.41     ],
% 1.01/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.41    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42    , Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.42    Y, X ), T, X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    Y, X ), Z ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.42     [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    Y, X ), Z ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    Y, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.01/1.42    Y, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.01/1.42    'class_RealVector_Oreal__normed__field'( X ) ), ~( =( 
% 1.01/1.42    'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42    , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), Y ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.01/1.42     ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), Z ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.42     ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.42    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.01/1.42    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.01/1.42    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X )
% 1.01/1.42    , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( T
% 1.01/1.42     ) ), X ), hAPP( 'c_Power_Opower__class_Opower'( Z, X ), 'c_Suc'( T ) ) )
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( T, X ), 'c_Suc'( Z ) ) ) ), =( Y, T ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42     ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    T ), X ), hAPP( 'c_Power_Opower__class_Opower'( Z, X ), T ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.01/1.42    X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42    , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42    , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( U, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42    , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42    , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.42    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.42    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.42    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.42    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.42    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.42    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.42    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.42    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.01/1.42    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.42    , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.01/1.42    , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.01/1.42    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.42    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42    , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), T ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.01/1.42    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    Y, T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.01/1.42    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.01/1.42     ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.01/1.42    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.01/1.42     ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.01/1.42     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.42    Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.42    Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.42    Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.01/1.42    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.42     ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.01/1.42    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.01/1.42     ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.01/1.42    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.01/1.42     ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.42    Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.42    Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.01/1.42    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.01/1.42    X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42    , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.42     ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.01/1.42    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.01/1.42    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.01/1.42    Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z
% 1.01/1.42    , X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.01/1.42     ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.01/1.42     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X
% 1.01/1.42     ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.42     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42     ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z
% 1.01/1.42    , X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.01/1.42     ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.42    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 1.01/1.42    X ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.42     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.42    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.42     ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.42    Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    Y, X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42     ), X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.42    T, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.42    X ), Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.42    T, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.42    X ), T, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    T, X ), X ) ) ],
% 1.01/1.42     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.01/1.42    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.42    X ), T, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    hAPP( 'c_Power_Opower__class_Opower'( T, X ), Y ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    hAPP( 'c_Power_Opower__class_Opower'( T, X ), Y ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.01/1.42    hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.42    , T, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.42     ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.01/1.42    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.42    X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.01/1.42    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.42    X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.01/1.42    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.42    X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.01/1.42    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.42    X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    Y, Y, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    Y, Z, X ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.01/1.42    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) )
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.01/1.42    'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.42     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), 'c_Suc'( X ) ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.01/1.42     ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.01/1.42     [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y )
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.42    Z, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.42    Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.42    , X ), Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.42    , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 1.01/1.42    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.01/1.42    , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.01/1.42    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.42     ), 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.01/1.42    X ), T, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X
% 1.01/1.42     ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.42    , Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42     ), X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42     ), X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z
% 1.01/1.42    , X ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.01/1.42     ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.42     ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42     ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.42     ) ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42     ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.42     ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.42    T, X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.01/1.42    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.01/1.42    , 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.01/1.42    , 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ],
% 1.01/1.42     [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.42     ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.01/1.42    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42     ), X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42     ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42     ), X ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.42    Z, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42     ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), T ), X ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.01/1.42     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.01/1.42     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.01/1.42     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.01/1.42     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.42     ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.01/1.42     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.42     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.42    'tc_nat' ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( T, X ), 
% 1.01/1.42    Y ), X ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.01/1.42     ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( T, X ), 
% 1.01/1.42    Y ), X ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.01/1.42     ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42     ), Z ), 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), X ), X ), Z ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.01/1.42    hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.42    , X ), Z ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.42    'tc_nat' ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.42     ), =( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.42    T, 'tc_nat' ) ), hAPP( 'c_Power_Opower__class_Opower'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), T ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.01/1.42     ), Z ), Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.42    , X ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), Z ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.42    X ), T ), 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.42    X ), T ), 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( Y, 
% 1.01/1.42    X ), Z ), X ), T ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( T, X ), Z ), X ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.42    Y, X ), Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.01/1.42    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.42    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.42    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    Y, Z, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    Y, T, X ), Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.01/1.42    Y ) ), =( 'c_Finite__Set_Osetsum'( Z, 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ), 
% 1.01/1.42    'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.01/1.42    T, U, X ), X, Y ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.01/1.42    , X ), U ) ) ],
% 1.01/1.42     [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.01/1.42    Y ) ), =( 'c_Finite__Set_Osetsum'( Z, 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ), 
% 1.01/1.42    'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.01/1.42    T, U, X ), X, Y ) ), hBOOL( hAPP( 'c_lessequals'( T, X ), 
% 1.01/1.42    'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.01/1.42    Y, 'c_Finite__Set_Osetsum'( Y, 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), X ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, 'tc_nat' ), 
% 1.01/1.42    'c_Series_Osko__Series__Xseries__zero__1__1'( Y, Z, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.01/1.42    hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    'c_Suc'( Z ) ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Z, X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Z, X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), =( Y, T ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.42    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.42    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.42    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.01/1.42    Z, 'c_Suc'( T ), 'tc_nat' ), 'tc_nat', X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.42     ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.01/1.42    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.42    'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.42    , X ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), Z ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.01/1.42    'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Suc'( Y ) ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.01/1.42    hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.42     ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.42    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.01/1.42    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.42    , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.01/1.42    , X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.01/1.42    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), T ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.01/1.42    , Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.42    , Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.42    , Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.42     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42     ), X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.42    T, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.42    , Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.42     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.01/1.42    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.01/1.42     ), 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.01/1.42    X ), T, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42    , T, X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.01/1.42     [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.01/1.42    'c_Suc'( Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.01/1.42    , Y ) ) ],
% 1.01/1.42     [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), 
% 1.01/1.42    'c_Suc'( X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.01/1.42    , X ) ) ],
% 1.01/1.42     [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y
% 1.01/1.42     ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42    , T, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42    , T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.42    , T, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.01/1.42     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.01/1.42     ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.42    , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.01/1.42    , 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.01/1.42    , 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.42     ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.42    , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.42     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.01/1.42    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.42     ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.01/1.42    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.01/1.42     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.42    , X ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z
% 1.01/1.42     ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.01/1.42     ), Z ), Y, X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z
% 1.01/1.42     ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.01/1.42    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.01/1.42    X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( T, X ), U ), X ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, 'tc_nat' ), U ) ) ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.42     ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.42     ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.42    Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( 
% 1.01/1.42    Z, X ), X ) ) ],
% 1.01/1.42     [ ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), X ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.42    Y, X ), T, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42    , T, X ), X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), T ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), T ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.01/1.42     ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Y ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ), ~( 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    Y, T, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ) ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' )
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.42    , X ), Y ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.42     ), Y ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.01/1.42    , 'tc_nat' ), Z ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.42    , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), T, X ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Z, 'tc_nat' ), U ) ) ), ~( 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), U ), T, X ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( T, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.01/1.42     ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.01/1.42    , 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), hBOOL( 
% 1.01/1.42    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.01/1.42    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.42    'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.01/1.42    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.01/1.42     [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.01/1.42    'c_Suc'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    T, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.42    Z, T, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ), 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ), X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) )
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.01/1.42    , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.01/1.42    , Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.42    , Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.42    Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.01/1.42    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.01/1.42    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42    , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.01/1.42    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.01/1.42    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.42    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.42    'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 1.01/1.42     ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.42    'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.01/1.42    'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y, 
% 1.01/1.42    'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1'( Z, Y, T, X ) ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_Finite__Set_Osetsum'( Y, Z, T
% 1.01/1.42    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.42    'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42    , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.42    'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42    , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), 
% 1.01/1.42    =( Z, T ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.42    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.01/1.42    hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X )
% 1.01/1.42    , Y ), X ) ],
% 1.01/1.42     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.01/1.42    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.42    'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.01/1.42    'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.01/1.42    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.01/1.42    , X ) ) ],
% 1.01/1.42     [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), 'tc_Complex_Ocomplex' )
% 1.01/1.42    , 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( Y ), 
% 1.01/1.42    'tc_Complex_Ocomplex' ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y, 
% 1.01/1.42    'c_Series_Osko__Series__Xseries__zero__1__1'( Y, Z, X ) ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_Series_Osums'( Y, 
% 1.01/1.42    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), X )
% 1.01/1.42     ],
% 1.01/1.42     [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 1.01/1.42    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ), 
% 1.01/1.42    'c_SetInterval_Oord__class_OlessThan'( X, 'tc_nat' ) ) ],
% 1.01/1.42     [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.01/1.42    Y ) ), ~( =( hAPP( Z, 
% 1.01/1.42    'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.01/1.42     ), hAPP( W, 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, 
% 1.01/1.42    Z, W, X, Y ) ) ) ), =( 'c_Finite__Set_Osetsum'( Z, 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ), 
% 1.01/1.42    'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.01/1.42    T, U, X ), X, Y ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ), 'tc_nat' ), 'v_k' ) ) ],
% 1.01/1.42     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_k', 'tc_nat' ), 'v_n' ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.42    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.42     ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.42    Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.01/1.42    'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.01/1.42    Y, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.42     ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Z, X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42     ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.42     ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ), X ), Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.01/1.42    Y, X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.42    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.42     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( 
% 1.01/1.42    X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.01/1.42     ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42    , Y ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.01/1.42    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.01/1.42    , X ), 'c_Finite__Set_Osetsum'( Y, 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ), 'tc_nat'
% 1.01/1.42    , X ), X ), 'c_Finite__Set_Osetsum'( Y, 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ), 'tc_nat'
% 1.01/1.42    , X ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, 'tc_nat' ), T ) ) ), ~( hBOOL( 
% 1.01/1.42    hAPP( 'c_lessequals'( Z, 'tc_nat' ), U ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.01/1.42    'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.42    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.42    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ), =( 'c_Finite__Set_Osetsum'( Y, 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_Suc'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ), 
% 1.01/1.42    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42     ), X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ), =( Z, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.01/1.42    'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.01/1.42    'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.42     ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 1.01/1.42    =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.42     ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42     ), X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.01/1.42     [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X )
% 1.01/1.42    , 'tc_Complex_Ocomplex' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.01/1.42    'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.42    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.42    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.42    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), Z ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.42     ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.42    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42    , T, X ) ) ), =( Z, T ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.42    , T, X ) ) ), =( Y, Z ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ), =( Y, Z ) ],
% 1.01/1.42     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42     ) ), =( Y, Z ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.42    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.01/1.42    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.42    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.01/1.42     ), Z ), 'c_HOL_Oone__class_Oone'( X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.42    Y, 'c_HOL_Oone__class_Oone'( X ), X ), X ) ), =( Y, 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42     [ ~( =( 'c_Finite__Set_Osetsum'( 'c_Power_Opower__class_Opower'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 
% 1.01/1.42    'tc_Complex_Ocomplex' ), 'v_k' ), 'tc_Complex_Ocomplex' ), 
% 1.01/1.42    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.42    'tc_nat' ), 'v_n', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ), 
% 1.01/1.42    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.01/1.42    'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.01/1.42    'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'tc_Complex_Ocomplex' ), 'v_k' ), 
% 1.01/1.42    'tc_Complex_Ocomplex' ), 'v_n' ), 'c_HOL_Oone__class_Oone'( 
% 1.01/1.42    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 1.01/1.42    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.01/1.42    'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'tc_Complex_Ocomplex' ), 'v_k' ), 
% 1.01/1.42    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 1.01/1.42     ), 'tc_Complex_Ocomplex' ) ) ) ],
% 1.01/1.42     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 1.01/1.42    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.01/1.42     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 1.01/1.42    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 1.01/1.42    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.01/1.42     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.01/1.42    'class_Orderings_Opreorder'( Y ) ) ],
% 1.01/1.42     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.01/1.42    'class_Orderings_Oorder'( Y ) ) ],
% 1.01/1.42     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 1.01/1.42    Y ) ) ],
% 1.01/1.42     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.01/1.42     ],
% 1.01/1.42     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.01/1.42     [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.01/1.42     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.01/1.42     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.01/1.42     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.01/1.42     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.01/1.42     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.01/1.42    'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.01/1.42     ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.01/1.42     ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_HOL_Oord'( 'tc_Int_Oint' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 1.01/1.42    'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.01/1.42    'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.01/1.42     ],
% 1.01/1.42     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.01/1.42     ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42    ,
% 1.01/1.42     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42     [ 'c_fequal'( X, X, Y ) ],
% 1.01/1.42     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.01/1.42  ] .
% 1.01/1.42  
% 1.01/1.42  
% 1.01/1.42  percentage equality = 0.143773, percentage horn = 0.780965
% 1.01/1.42  This is a problem with some equality
% 1.01/1.42  
% 1.01/1.42  
% 1.01/1.42  
% 1.01/1.42  Options Used:
% 1.01/1.42  
% 1.01/1.42  useres =            1
% 1.01/1.42  useparamod =        1
% 1.01/1.42  useeqrefl =         1
% 1.01/1.42  useeqfact =         1
% 1.01/1.42  usefactor =         1
% 1.01/1.42  usesimpsplitting =  0
% 1.01/1.42  usesimpdemod =      5
% 1.01/1.42  usesimpres =        3
% 1.01/1.42  
% 1.01/1.42  resimpinuse      =  1000
% 1.01/1.42  resimpclauses =     20000
% 1.01/1.42  substype =          eqrewr
% 1.01/1.42  backwardsubs =      1
% 1.01/1.42  selectoldest =      5
% 1.01/1.42  
% 1.01/1.42  litorderings [0] =  split
% 1.01/1.42  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.01/1.42  
% 1.01/1.42  termordering =      kbo
% 1.01/1.42  
% 1.01/1.42  litapriori =        0
% 1.01/1.42  termapriori =       1
% 1.01/1.42  litaposteriori =    0
% 1.01/1.42  termaposteriori =   0
% 1.01/1.42  demodaposteriori =  0
% 1.01/1.42  ordereqreflfact =   0
% 1.01/1.42  
% 1.01/1.42  litselect =         negord
% 1.01/1.42  
% 1.01/1.42  maxweight =         15
% 1.01/1.42  maxdepth =          30000
% 1.01/1.42  maxlength =         115
% 1.01/1.42  maxnrvars =         195
% 1.01/1.42  excuselevel =       1
% 1.01/1.42  increasemaxweight = 1
% 1.01/1.42  
% 1.01/1.42  maxselected =       10000000
% 1.01/1.42  maxnrclauses =      10000000
% 1.01/1.42  
% 1.01/1.42  showgenerated =    0
% 1.01/1.42  showkept =         0
% 1.01/1.42  showselected =     0
% 1.01/1.42  showdeleted =      0
% 1.01/1.42  showresimp =       1
% 1.01/1.42  showstatus =       2000
% 1.01/1.42  
% 1.01/1.42  prologoutput =     1
% 1.01/1.42  nrgoals =          5000000
% 1.01/1.42  totalproof =       1
% 1.01/1.42  
% 1.01/1.42  Symbols occurring in the translation:
% 1.01/1.42  
% 1.01/1.42  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.01/1.42  .  [1, 2]      (w:1, o:120, a:1, s:1, b:0), 
% 1.01/1.42  !  [4, 1]      (w:0, o:57, a:1, s:1, b:0), 
% 1.01/1.42  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.01/1.42  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.01/1.42  'tc_nat'  [40, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 1.01/1.42  'c_HOL_Ozero__class_Ozero'  [41, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 1.01/1.42  'c_Suc'  [42, 1]      (w:1, o:63, a:1, s:1, b:0), 
% 1.01/1.42  'c_HOL_Oord__class_Oless'  [43, 2]      (w:1, o:145, a:1, s:1, b:0), 
% 1.01/1.42  hAPP  [44, 2]      (w:1, o:146, a:1, s:1, b:0), 
% 1.01/1.42  hBOOL  [45, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 1.01/1.42  'c_lessequals'  [47, 2]      (w:1, o:147, a:1, s:1, b:0), 
% 1.01/1.42  'c_HOL_Otimes__class_Otimes'  [50, 3]      (w:1, o:156, a:1, s:1, b:0), 
% 1.01/1.42  'class_Ring__and__Field_Oordered__ring__strict'  [52, 1]      (w:1, o:68
% 1.01/1.42    , a:1, s:1, b:0), 
% 1.01/1.42  'class_Ring__and__Field_Oordered__semiring__strict'  [56, 1]      (w:1, o:
% 1.01/1.42    69, a:1, s:1, b:0), 
% 1.01/1.42  'class_Orderings_Olinorder'  [57, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 1.01/1.42  'class_Orderings_Opreorder'  [59, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 1.01/1.42  'c_COMBK'  [62, 3]      (w:1, o:157, a:1, s:1, b:0), 
% 1.01/1.42  'class_Orderings_Oorder'  [65, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 1.01/1.42  'class_Ring__and__Field_Oordered__field'  [66, 1]      (w:1, o:73, a:1, s:1
% 1.01/1.42    , b:0), 
% 1.01/1.42  'class_Ring__and__Field_Odivision__by__zero'  [67, 1]      (w:1, o:76, a:1
% 1.01/1.42    , s:1, b:0), 
% 1.01/1.42  'class_Int_Onumber'  [68, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 1.01/1.42  'c_HOL_Oinverse__class_Odivide'  [69, 3]      (w:1, o:158, a:1, s:1, b:0), 
% 1.01/1.42    
% 1.01/1.42  'c_Int_Onumber__class_Onumber__of'  [71, 2]      (w:1, o:150, a:1, s:1, b:0
% 1.01/1.42    ), 
% 1.01/1.42  'class_Ring__and__Field_Ocomm__semiring__1'  [72, 1]      (w:1, o:75, a:1
% 1.01/1.42    , s:1, b:0), 
% 1.01/1.42  'c_Power_Opower__class_Opower'  [73, 2]      (w:1, o:151, a:1, s:1, b:0), 
% 1.01/1.42  'class_Power_Opower'  [75, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 1.01/1.42  'class_OrderedGroup_Omonoid__mult'  [76, 1]      (w:1, o:80, a:1, s:1, b:0)
% 6.94/7.34    , 
% 6.94/7.34  'class_Ring__and__Field_Odivision__ring'  [77, 1]      (w:1, o:91, a:1, s:1
% 6.94/7.34    , b:0), 
% 6.94/7.34  'c_HOL_Oinverse__class_Oinverse'  [78, 2]      (w:1, o:148, a:1, s:1, b:0)
% 6.94/7.34    , 
% 6.94/7.34  'class_OrderedGroup_Opordered__ab__group__add'  [79, 1]      (w:1, o:82, a:
% 6.94/7.34    1, s:1, b:0), 
% 6.94/7.34  'c_HOL_Ouminus__class_Ouminus'  [80, 2]      (w:1, o:149, a:1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Odvd'  [81, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 6.94/7.34  'c_Ring__and__Field_Odvd__class_Odvd'  [82, 3]      (w:1, o:159, a:1, s:1
% 6.94/7.34    , b:0), 
% 6.94/7.34  'class_Orderings_Obot'  [84, 1]      (w:1, o:83, a:1, s:1, b:0), 
% 6.94/7.34  'c_Orderings_Obot__class_Obot'  [85, 1]      (w:1, o:93, a:1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Oring'  [86, 1]      (w:1, o:94, a:1, s:1, b:0), 
% 6.94/7.34  'c_HOL_Ominus__class_Ominus'  [88, 3]      (w:1, o:160, a:1, s:1, b:0), 
% 6.94/7.34  'tc_bool'  [89, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 6.94/7.34  'tc_fun'  [90, 2]      (w:1, o:152, a:1, s:1, b:0), 
% 6.94/7.34  'c_Finite__Set_Ofinite'  [91, 2]      (w:1, o:153, a:1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Oordered__semiring'  [92, 1]      (w:1, o:95, a:1
% 6.94/7.34    , s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Oidom'  [93, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 6.94/7.34  'class_Int_Oring__char__0'  [94, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 6.94/7.34  'class_Int_Onumber__ring'  [95, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 6.94/7.34  'c_HOL_Oone__class_Oone'  [96, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 6.94/7.34  'c_SetInterval_Oord__class_OlessThan'  [97, 2]      (w:1, o:154, a:1, s:1
% 6.94/7.34    , b:0), 
% 6.94/7.34  'c_SetInterval_Oord__class_OatLeastLessThan'  [98, 3]      (w:1, o:161, a:1
% 6.94/7.34    , s:1, b:0), 
% 6.94/7.34  'class_Finite__Set_Ofinite_Ofinite'  [99, 1]      (w:1, o:100, a:1, s:1, b:
% 6.94/7.34    0), 
% 6.94/7.34  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [101, 1]      
% 6.94/7.34    (w:1, o:101, a:1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Oordered__semidom'  [104, 1]      (w:1, o:102, a:1
% 6.94/7.34    , s:1, b:0), 
% 6.94/7.34  'class_OrderedGroup_Ogroup__add'  [105, 1]      (w:1, o:84, a:1, s:1, b:0)
% 6.94/7.34    , 
% 6.94/7.34  'class_Lattices_Oboolean__algebra'  [106, 1]      (w:1, o:103, a:1, s:1, b:
% 6.94/7.34    0), 
% 6.94/7.34  'class_OrderedGroup_Oordered__ab__group__add'  [107, 1]      (w:1, o:81, a:
% 6.94/7.34    1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Oring__no__zero__divisors'  [108, 1]      (w:1, o:
% 6.94/7.34    104, a:1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Omult__zero'  [109, 1]      (w:1, o:105, a:1, s:1
% 6.94/7.34    , b:0), 
% 6.94/7.34  'class_RealVector_Oreal__normed__algebra'  [110, 1]      (w:1, o:106, a:1
% 6.94/7.34    , s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Ono__zero__divisors'  [111, 1]      (w:1, o:67, a:1
% 6.94/7.34    , s:1, b:0), 
% 6.94/7.34  'v_n'  [116, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Oordered__idom'  [117, 1]      (w:1, o:107, a:1, s:
% 6.94/7.34    1, b:0), 
% 6.94/7.34  'class_OrderedGroup_Oab__semigroup__idem__mult'  [118, 1]      (w:1, o:85
% 6.94/7.34    , a:1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Omult__mono1'  [119, 1]      (w:1, o:65, a:1, s:1
% 6.94/7.34    , b:0), 
% 6.94/7.34  'class_Ring__and__Field_Omult__mono'  [120, 1]      (w:1, o:66, a:1, s:1
% 6.94/7.34    , b:0), 
% 6.94/7.34  'class_Ring__and__Field_Opordered__ring'  [121, 1]      (w:1, o:108, a:1
% 6.94/7.34    , s:1, b:0), 
% 6.94/7.34  'class_SEQ_Obanach'  [122, 1]      (w:1, o:118, a:1, s:1, b:0), 
% 6.94/7.34  'class_RealVector_Oreal__normed__field'  [123, 1]      (w:1, o:109, a:1, s:
% 6.94/7.34    1, b:0), 
% 6.94/7.34  'c_Transcendental_Oexp'  [124, 2]      (w:1, o:155, a:1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Ofield'  [125, 1]      (w:1, o:110, a:1, s:1, b:0)
% 6.94/7.34    , 
% 6.94/7.34  'class_OrderedGroup_Oab__group__add'  [126, 1]      (w:1, o:86, a:1, s:1
% 6.94/7.34    , b:0), 
% 6.94/7.34  'class_Ring__and__Field_Ocomm__ring__1'  [129, 1]      (w:1, o:74, a:1, s:1
% 6.94/7.34    , b:0), 
% 6.94/7.34  'class_OrderedGroup_Ocomm__monoid__mult'  [135, 1]      (w:1, o:87, a:1, s:
% 6.94/7.34    1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Opordered__cancel__semiring'  [137, 1]      (w:1
% 6.94/7.34    , o:111, a:1, s:1, b:0), 
% 6.94/7.34  'class_OrderedGroup_Oab__semigroup__mult'  [138, 1]      (w:1, o:88, a:1
% 6.94/7.34    , s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Opordered__semiring'  [140, 1]      (w:1, o:112, a:
% 6.94/7.34    1, s:1, b:0), 
% 6.94/7.34  'class_OrderedGroup_Olordered__ab__group__add'  [141, 1]      (w:1, o:79
% 6.94/7.34    , a:1, s:1, b:0), 
% 6.94/7.34  'class_Ring__and__Field_Oring__1'  [143, 1]      (w:1, o:113, a:1, s:1, b:0
% 6.94/7.34    ), 
% 6.94/7.34  'class_HOL_Oord'  [145, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 6.94/7.34  'class_OrderedGroup_Ocomm__monoid__add'  [146, 1]      (w:1, o:89, a:1, s:1
% 6.94/7.34    , b:0), 
% 6.94/7.34  'c_Finite__Set_Osetsum'  [148, 4]      (w:1, o:165, a:1, s:1, b:0), 
% 36.07/36.43  'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'  [150, 6]      (w:1
% 36.07/36.43    , o:167, a:1, s:1, b:0), 
% 36.07/36.43  'class_RealVector_Oreal__normed__vector'  [151, 1]      (w:1, o:114, a:1
% 36.07/36.43    , s:1, b:0), 
% 36.07/36.43  'c_Series_Osums'  [152, 3]      (w:1, o:162, a:1, s:1, b:0), 
% 36.07/36.43  'c_Series_Osko__Series__Xseries__zero__1__1'  [153, 3]      (w:1, o:163, a:
% 36.07/36.43    1, s:1, b:0), 
% 36.07/36.43  'class_Ring__and__Field_Osemiring__0'  [154, 1]      (w:1, o:116, a:1, s:1
% 36.07/36.43    , b:0), 
% 36.07/36.43  'class_Ring__and__Field_Ozero__neq__one'  [155, 1]      (w:1, o:117, a:1
% 36.07/36.43    , s:1, b:0), 
% 36.07/36.43  'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1'  [157, 4]      (w:1
% 36.07/36.43    , o:166, a:1, s:1, b:0), 
% 36.07/36.43  'c_FFT__Mirabelle_Oroot'  [158, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 36.07/36.43  'tc_Complex_Ocomplex'  [159, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 36.07/36.43  'v_k'  [160, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 36.07/36.43  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [161, 1]      (w:1
% 36.07/36.43    , o:115, a:1, s:1, b:0), 
% 36.07/36.43  'tc_Int_Oint'  [164, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 36.07/36.43  'c_fequal'  [165, 3]      (w:1, o:164, a:1, s:1, b:0).
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Starting Search:
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    4822
% 36.07/36.43  Kept:         2278
% 36.07/36.43  Inuse:        164
% 36.07/36.43  Deleted:      7
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    9440
% 36.07/36.43  Kept:         4468
% 36.07/36.43  Inuse:        259
% 36.07/36.43  Deleted:      12
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    17407
% 36.07/36.43  Kept:         7351
% 36.07/36.43  Inuse:        321
% 36.07/36.43  Deleted:      15
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    26924
% 36.07/36.43  Kept:         10123
% 36.07/36.43  Inuse:        381
% 36.07/36.43  Deleted:      15
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    32890
% 36.07/36.43  Kept:         12125
% 36.07/36.43  Inuse:        454
% 36.07/36.43  Deleted:      20
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    39359
% 36.07/36.43  Kept:         14193
% 36.07/36.43  Inuse:        509
% 36.07/36.43  Deleted:      22
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    46508
% 36.07/36.43  Kept:         16481
% 36.07/36.43  Inuse:        553
% 36.07/36.43  Deleted:      23
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    53258
% 36.07/36.43  Kept:         18674
% 36.07/36.43  Inuse:        558
% 36.07/36.43  Deleted:      23
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying clauses:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    60331
% 36.07/36.43  Kept:         20676
% 36.07/36.43  Inuse:        614
% 36.07/36.43  Deleted:      437
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    65817
% 36.07/36.43  Kept:         22685
% 36.07/36.43  Inuse:        644
% 36.07/36.43  Deleted:      437
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    73263
% 36.07/36.43  Kept:         25733
% 36.07/36.43  Inuse:        668
% 36.07/36.43  Deleted:      437
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    103172
% 36.07/36.43  Kept:         29190
% 36.07/36.43  Inuse:        683
% 36.07/36.43  Deleted:      437
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    114340
% 36.07/36.43  Kept:         32581
% 36.07/36.43  Inuse:        693
% 36.07/36.43  Deleted:      437
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    123883
% 36.07/36.43  Kept:         34774
% 36.07/36.43  Inuse:        703
% 36.07/36.43  Deleted:      437
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    133359
% 36.07/36.43  Kept:         36797
% 36.07/36.43  Inuse:        723
% 36.07/36.43  Deleted:      437
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    147701
% 36.07/36.43  Kept:         39289
% 36.07/36.43  Inuse:        738
% 36.07/36.43  Deleted:      437
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying clauses:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    162498
% 36.07/36.43  Kept:         41334
% 36.07/36.43  Inuse:        748
% 36.07/36.43  Deleted:      1190
% 36.07/36.43  Deletedinuse: 0
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  
% 36.07/36.43  Intermediate Status:
% 36.07/36.43  Generated:    177206
% 36.07/36.43  Kept:         43347
% 36.07/36.43  Inuse:        763
% 36.07/36.43  Deleted:      1196
% 36.07/36.43  Deletedinuse: 6
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 36.07/36.43  Done
% 36.07/36.43  
% 36.07/36.43  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    188469
% 93.16/93.56  Kept:         45351
% 93.16/93.56  Inuse:        810
% 93.16/93.56  Deleted:      1196
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    198230
% 93.16/93.56  Kept:         47491
% 93.16/93.56  Inuse:        838
% 93.16/93.56  Deleted:      1196
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    209103
% 93.16/93.56  Kept:         49496
% 93.16/93.56  Inuse:        872
% 93.16/93.56  Deleted:      1196
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    218002
% 93.16/93.56  Kept:         51796
% 93.16/93.56  Inuse:        893
% 93.16/93.56  Deleted:      1196
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    227869
% 93.16/93.56  Kept:         54044
% 93.16/93.56  Inuse:        913
% 93.16/93.56  Deleted:      1196
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    241301
% 93.16/93.56  Kept:         56342
% 93.16/93.56  Inuse:        933
% 93.16/93.56  Deleted:      1196
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    259352
% 93.16/93.56  Kept:         60005
% 93.16/93.56  Inuse:        943
% 93.16/93.56  Deleted:      1196
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    268714
% 93.16/93.56  Kept:         62251
% 93.16/93.56  Inuse:        948
% 93.16/93.56  Deleted:      1196
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying clauses:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    278141
% 93.16/93.56  Kept:         64611
% 93.16/93.56  Inuse:        953
% 93.16/93.56  Deleted:      1428
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    288221
% 93.16/93.56  Kept:         67008
% 93.16/93.56  Inuse:        974
% 93.16/93.56  Deleted:      1428
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    311615
% 93.16/93.56  Kept:         70830
% 93.16/93.56  Inuse:        993
% 93.16/93.56  Deleted:      1428
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    323016
% 93.16/93.56  Kept:         72843
% 93.16/93.56  Inuse:        1012
% 93.16/93.56  Deleted:      1428
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    334339
% 93.16/93.56  Kept:         75756
% 93.16/93.56  Inuse:        1018
% 93.16/93.56  Deleted:      1428
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    342844
% 93.16/93.56  Kept:         77783
% 93.16/93.56  Inuse:        1028
% 93.16/93.56  Deleted:      1428
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    365201
% 93.16/93.56  Kept:         81276
% 93.16/93.56  Inuse:        1048
% 93.16/93.56  Deleted:      1428
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying clauses:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    375181
% 93.16/93.56  Kept:         83286
% 93.16/93.56  Inuse:        1068
% 93.16/93.56  Deleted:      1586
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    401750
% 93.16/93.56  Kept:         86897
% 93.16/93.56  Inuse:        1088
% 93.16/93.56  Deleted:      1586
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    417679
% 93.16/93.56  Kept:         89799
% 93.16/93.56  Inuse:        1093
% 93.16/93.56  Deleted:      1586
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    432871
% 93.16/93.56  Kept:         92573
% 93.16/93.56  Inuse:        1108
% 93.16/93.56  Deleted:      1586
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    440302
% 93.16/93.56  Kept:         94666
% 93.16/93.56  Inuse:        1113
% 93.16/93.56  Deleted:      1586
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    451241
% 93.16/93.56  Kept:         97275
% 93.16/93.56  Inuse:        1128
% 93.16/93.56  Deleted:      1586
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    462463
% 93.16/93.56  Kept:         99956
% 93.16/93.56  Inuse:        1143
% 93.16/93.56  Deleted:      1586
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    472008
% 93.16/93.56  Kept:         102075
% 93.16/93.56  Inuse:        1158
% 93.16/93.56  Deleted:      1586
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying clauses:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    484696
% 93.16/93.56  Kept:         104612
% 93.16/93.56  Inuse:        1173
% 93.16/93.56  Deleted:      1657
% 93.16/93.56  Deletedinuse: 6
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  Resimplifying inuse:
% 93.16/93.56  Done
% 93.16/93.56  
% 93.16/93.56  
% 93.16/93.56  Intermediate Status:
% 93.16/93.56  Generated:    497651
% 93.16/93.56  Kept:         107187
% 93.16/93.56  Inuse:        1188
% 93.16/93.56  Deleted:      1657
% 93.16/93.56  Deletedinuse: 6
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    506685
% 184.24/184.69  Kept:         109419
% 184.24/184.69  Inuse:        1203
% 184.24/184.69  Deleted:      1657
% 184.24/184.69  Deletedinuse: 6
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    519475
% 184.24/184.69  Kept:         112068
% 184.24/184.69  Inuse:        1218
% 184.24/184.69  Deleted:      1657
% 184.24/184.69  Deletedinuse: 6
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    531617
% 184.24/184.69  Kept:         114537
% 184.24/184.69  Inuse:        1233
% 184.24/184.69  Deleted:      1657
% 184.24/184.69  Deletedinuse: 6
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    540743
% 184.24/184.69  Kept:         116660
% 184.24/184.69  Inuse:        1239
% 184.24/184.69  Deleted:      1657
% 184.24/184.69  Deletedinuse: 6
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    548316
% 184.24/184.69  Kept:         118680
% 184.24/184.69  Inuse:        1249
% 184.24/184.69  Deleted:      1657
% 184.24/184.69  Deletedinuse: 6
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    558817
% 184.24/184.69  Kept:         120828
% 184.24/184.69  Inuse:        1269
% 184.24/184.69  Deleted:      1657
% 184.24/184.69  Deletedinuse: 6
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    572498
% 184.24/184.69  Kept:         123580
% 184.24/184.69  Inuse:        1293
% 184.24/184.69  Deleted:      1665
% 184.24/184.69  Deletedinuse: 14
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying clauses:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    582898
% 184.24/184.69  Kept:         125661
% 184.24/184.69  Inuse:        1293
% 184.24/184.69  Deleted:      11978
% 184.24/184.69  Deletedinuse: 14
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    590704
% 184.24/184.69  Kept:         128256
% 184.24/184.69  Inuse:        1298
% 184.24/184.69  Deleted:      11978
% 184.24/184.69  Deletedinuse: 14
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    619691
% 184.24/184.69  Kept:         132094
% 184.24/184.69  Inuse:        1312
% 184.24/184.69  Deleted:      11982
% 184.24/184.69  Deletedinuse: 17
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    634167
% 184.24/184.69  Kept:         134183
% 184.24/184.69  Inuse:        1346
% 184.24/184.69  Deleted:      11984
% 184.24/184.69  Deletedinuse: 18
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    643188
% 184.24/184.69  Kept:         136405
% 184.24/184.69  Inuse:        1361
% 184.24/184.69  Deleted:      11984
% 184.24/184.69  Deletedinuse: 18
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    655995
% 184.24/184.69  Kept:         138500
% 184.24/184.69  Inuse:        1385
% 184.24/184.69  Deleted:      11988
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    676039
% 184.24/184.69  Kept:         140858
% 184.24/184.69  Inuse:        1415
% 184.24/184.69  Deleted:      11988
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    699404
% 184.24/184.69  Kept:         144763
% 184.24/184.69  Inuse:        1435
% 184.24/184.69  Deleted:      11988
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying clauses:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    710850
% 184.24/184.69  Kept:         147182
% 184.24/184.69  Inuse:        1450
% 184.24/184.69  Deleted:      13130
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    743574
% 184.24/184.69  Kept:         152580
% 184.24/184.69  Inuse:        1465
% 184.24/184.69  Deleted:      13130
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    757103
% 184.24/184.69  Kept:         154917
% 184.24/184.69  Inuse:        1500
% 184.24/184.69  Deleted:      13130
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    766442
% 184.24/184.69  Kept:         157282
% 184.24/184.69  Inuse:        1507
% 184.24/184.69  Deleted:      13130
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    795679
% 184.24/184.69  Kept:         161939
% 184.24/184.69  Inuse:        1515
% 184.24/184.69  Deleted:      13130
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    803604
% 184.24/184.69  Kept:         163940
% 184.24/184.69  Inuse:        1526
% 184.24/184.69  Deleted:      13130
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    813285
% 184.24/184.69  Kept:         166363
% 184.24/184.69  Inuse:        1540
% 184.24/184.69  Deleted:      13130
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying clauses:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    828091
% 184.24/184.69  Kept:         169250
% 184.24/184.69  Inuse:        1550
% 184.24/184.69  Deleted:      13418
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    837722
% 184.24/184.69  Kept:         171686
% 184.24/184.69  Inuse:        1565
% 184.24/184.69  Deleted:      13418
% 184.24/184.69  Deletedinuse: 21
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  Resimplifying inuse:
% 184.24/184.69  Done
% 184.24/184.69  
% 184.24/184.69  
% 184.24/184.69  Intermediate Status:
% 184.24/184.69  Generated:    848294
% 184.24/184.69  Kept:         173899
% 296.20/296.69  Inuse:        1585
% 296.20/296.69  Deleted:      13418
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    860066
% 296.20/296.69  Kept:         176290
% 296.20/296.69  Inuse:        1610
% 296.20/296.69  Deleted:      13418
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    869440
% 296.20/296.69  Kept:         178353
% 296.20/296.69  Inuse:        1630
% 296.20/296.69  Deleted:      13418
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    882292
% 296.20/296.69  Kept:         181176
% 296.20/296.69  Inuse:        1646
% 296.20/296.69  Deleted:      13418
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    919017
% 296.20/296.69  Kept:         185767
% 296.20/296.69  Inuse:        1655
% 296.20/296.69  Deleted:      13418
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    929902
% 296.20/296.69  Kept:         188741
% 296.20/296.69  Inuse:        1660
% 296.20/296.69  Deleted:      13418
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying clauses:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    953759
% 296.20/296.69  Kept:         192831
% 296.20/296.69  Inuse:        1665
% 296.20/296.69  Deleted:      13773
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    963865
% 296.20/296.69  Kept:         195345
% 296.20/296.69  Inuse:        1680
% 296.20/296.69  Deleted:      13773
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    973671
% 296.20/296.69  Kept:         197588
% 296.20/296.69  Inuse:        1695
% 296.20/296.69  Deleted:      13773
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    988036
% 296.20/296.69  Kept:         199889
% 296.20/296.69  Inuse:        1725
% 296.20/296.69  Deleted:      13773
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1004603
% 296.20/296.69  Kept:         201934
% 296.20/296.69  Inuse:        1765
% 296.20/296.69  Deleted:      13773
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1019059
% 296.20/296.69  Kept:         204478
% 296.20/296.69  Inuse:        1785
% 296.20/296.69  Deleted:      13773
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1029229
% 296.20/296.69  Kept:         206663
% 296.20/296.69  Inuse:        1795
% 296.20/296.69  Deleted:      13773
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1038111
% 296.20/296.69  Kept:         208816
% 296.20/296.69  Inuse:        1810
% 296.20/296.69  Deleted:      13773
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying clauses:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1069740
% 296.20/296.69  Kept:         211751
% 296.20/296.69  Inuse:        1815
% 296.20/296.69  Deleted:      14079
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1078194
% 296.20/296.69  Kept:         213909
% 296.20/296.69  Inuse:        1830
% 296.20/296.69  Deleted:      14079
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1087702
% 296.20/296.69  Kept:         215925
% 296.20/296.69  Inuse:        1850
% 296.20/296.69  Deleted:      14079
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1109381
% 296.20/296.69  Kept:         220030
% 296.20/296.69  Inuse:        1875
% 296.20/296.69  Deleted:      14079
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1120031
% 296.20/296.69  Kept:         222057
% 296.20/296.69  Inuse:        1894
% 296.20/296.69  Deleted:      14079
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1128280
% 296.20/296.69  Kept:         224122
% 296.20/296.69  Inuse:        1905
% 296.20/296.69  Deleted:      14079
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1143124
% 296.20/296.69  Kept:         227177
% 296.20/296.69  Inuse:        1910
% 296.20/296.69  Deleted:      14079
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1182080
% 296.20/296.69  Kept:         229966
% 296.20/296.69  Inuse:        1915
% 296.20/296.69  Deleted:      14079
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying clauses:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1223938
% 296.20/296.69  Kept:         232893
% 296.20/296.69  Inuse:        1920
% 296.20/296.69  Deleted:      14394
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1236593
% 296.20/296.69  Kept:         235529
% 296.20/296.69  Inuse:        1935
% 296.20/296.69  Deleted:      14394
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  
% 296.20/296.69  Intermediate Status:
% 296.20/296.69  Generated:    1255124
% 296.20/296.69  Kept:         239051
% 296.20/296.69  Inuse:        1945
% 296.20/296.69  Deleted:      14394
% 296.20/296.69  Deletedinuse: 21
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  Done
% 296.20/296.69  
% 296.20/296.69  Resimplifying inuse:
% 296.20/296.69  DoCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------