↑ Up

Bliksem---1.12.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV617-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n018.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 16:27:10 EDT 2022

% Result   : Unsatisfiable 120.52s 120.90s
% Output   : Refutation 120.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV617-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.14/0.33  % Computer : n018.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % DateTime : Thu Jun 16 05:28:00 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.91/1.30  *** allocated 10000 integers for termspace/termends
% 0.91/1.30  *** allocated 10000 integers for clauses
% 0.91/1.30  *** allocated 10000 integers for justifications
% 0.91/1.30  *** allocated 15000 integers for termspace/termends
% 0.91/1.30  *** allocated 22500 integers for termspace/termends
% 0.91/1.30  Bliksem 1.12
% 0.91/1.30  
% 0.91/1.30  
% 0.91/1.30  Automatic Strategy Selection
% 0.91/1.30  
% 0.91/1.30  Clauses:
% 0.91/1.30  [
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.91/1.30    , X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.30    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30     ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30     ), X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30     ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30     ), X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.91/1.30     ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30    , Y, X ), X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30    , Z, X ), X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30    , Z, X ), X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.91/1.30     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 0.91/1.30    X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.91/1.30     ), X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 0.91/1.30    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.91/1.30     ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.91/1.30     ), X ), Y ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30    , Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30    , Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.30    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.91/1.30    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.30    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.30    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.30    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30    , T, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.91/1.30     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.91/1.30     ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.30    X ), T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.91/1.30     ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.30     ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.91/1.30     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.30    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.91/1.30    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.30    , Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.91/1.30    'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.91/1.30    'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.30     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.91/1.30    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.30    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.30    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.30    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.91/1.30     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 0.91/1.30    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.91/1.30     ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.91/1.30    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.30    T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.30    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30     ), X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30    , X ), X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30     ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30    , X ), X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30     ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.91/1.30     ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.30    , X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'( 
% 0.91/1.30    Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.91/1.30     ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 0.91/1.30    Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ), 
% 0.91/1.30    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.30    , T, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.30    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.30    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.30    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.91/1.30    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.91/1.30    , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30    , T, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30    , T, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 0.91/1.30    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30     ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30     ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30     ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.30    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.91/1.30     ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 
% 0.91/1.30    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.30    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.30    , X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    Z, Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.30    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.91/1.30     ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.91/1.30    , X ) ) ), =( Y, Z ) ],
% 0.91/1.30     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.91/1.30    , X ) ) ), =( Y, Z ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.30    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.30    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.30     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.30     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.91/1.30    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.30     ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30     ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.30     ), =( Z, Y ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30    , Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 0.91/1.30    X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.30    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 0.91/1.30    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.30     ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 0.91/1.30    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.91/1.30    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30     ), X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.30    X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 0.91/1.30    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30     ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.30     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30     ), X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.30     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.30    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 0.91/1.30    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.91/1.30    , X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.91/1.30    , X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.91/1.30    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.30     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.30     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.30     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30    , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30     ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30     ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.91/1.30     ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.30    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.30    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.30    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.30    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.30    ,
% 0.91/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.30    X ), T, X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.91/1.30    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.91/1.30    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30     ), Y ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30     ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30     ) ) ],
% 0.91/1.30     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30     ), Y ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30     ), Y ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.30    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.30    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.91/1.30    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.91/1.30    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 0.91/1.30    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 0.91/1.30    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.30    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 0.91/1.30    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 0.91/1.30    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 0.91/1.30    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.91/1.30    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30    , X ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.91/1.30     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.91/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.91/1.30    , X ) ) ],
% 0.91/1.30     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 0.91/1.30    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 0.91/1.30    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.30    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.31     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.91/1.31     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.91/1.31     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 0.91/1.31    'class_RealVector_Oreal__normed__field'( X ) ), ~( =( 
% 0.91/1.31    'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.91/1.31    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.91/1.31    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.31    , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31    , X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    Z, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 0.91/1.31    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 0.91/1.31    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.91/1.31    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.91/1.31    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31    , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 0.91/1.31    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31    , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.91/1.31    Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , T, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , T, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 0.91/1.31    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.91/1.31    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.91/1.31    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , Z, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.91/1.31    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , Z, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 0.91/1.31    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.31    , Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.91/1.31     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 0.91/1.31    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.31    , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 0.91/1.31    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.91/1.31    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    Y, T, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    Y, T, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.91/1.31    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.91/1.31    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 0.91/1.31    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.91/1.31    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.31    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.91/1.31    Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.91/1.31    'v_k', 'tc_nat' ) ],
% 0.91/1.31     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.91/1.31    Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.91/1.31    , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.91/1.31    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31     ), X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.91/1.31    T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.91/1.31    X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.91/1.31    T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.91/1.31    X ), T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.91/1.31    X ), T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.91/1.31    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 0.91/1.31    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.91/1.31    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.91/1.31    X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.91/1.31    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.91/1.31    X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.91/1.31    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.91/1.31    X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.91/1.31    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.91/1.31    X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    Y, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.91/1.31    , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 0.91/1.31    Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 0.91/1.31    Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.31    , X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.31    , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.91/1.31    , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.91/1.31    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.91/1.31    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.91/1.31    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.91/1.31    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.31     ), 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.31     ), 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.91/1.31     ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 0.91/1.31    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 0.91/1.31    X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31    , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.91/1.31    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.91/1.31    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.91/1.31    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.91/1.31    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ), T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.31    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.91/1.31    X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.91/1.31    Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 0.91/1.31    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.31    Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 0.91/1.31    X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.91/1.31    , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.91/1.31     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.91/1.31     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.91/1.31    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 0.91/1.31    X ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.91/1.31     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.31    , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.91/1.31    , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 0.91/1.31    X ), T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 0.91/1.31    X ), T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.91/1.31     ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31    , Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31    , Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.91/1.31     ), =( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.91/1.31    X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.31    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.91/1.31    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.91/1.31    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.91/1.31    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.91/1.31    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.91/1.31    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.91/1.31    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.91/1.31    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.91/1.31    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.91/1.31    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.91/1.31    Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    Y, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.91/1.31    Y, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.91/1.31    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.91/1.31    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.91/1.31    , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.91/1.31    , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.91/1.31    Y, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 0.91/1.31    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.91/1.31    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.31    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    Y, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.91/1.31    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    Y, T, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 0.91/1.31    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.91/1.31    'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.91/1.31    Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.91/1.31    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.31     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.91/1.31    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.31     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.91/1.31     ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.91/1.31    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 0.91/1.31    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.91/1.31    , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.91/1.31    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 0.91/1.31    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31    , X ), X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31     ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.91/1.31    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.91/1.31    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31    , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), T, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31    , T, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31    , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31    , T, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.31    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.91/1.31    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.91/1.31    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.91/1.31    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.91/1.31    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.31    Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.31    Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.91/1.31     ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31    , Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31    , Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 0.91/1.31    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.91/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.91/1.31    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.91/1.31    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 0.91/1.31    X ), X ) ) ],
% 0.91/1.31     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.91/1.31    Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( 
% 0.91/1.31    Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 0.91/1.31    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 0.91/1.31    ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 0.91/1.31    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.91/1.31    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.91/1.31    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.91/1.31    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 0.91/1.31    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.91/1.31    'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.91/1.31    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 0.91/1.31    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31     ), X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31    , Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31    , T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31    , T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31    , Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.91/1.31    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.91/1.31    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.91/1.31    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 0.91/1.31    Y, X ), X ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.91/1.31    'c_lessequals'( Z, Y, X ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.91/1.31    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.91/1.31    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.91/1.31    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.91/1.31     ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 0.91/1.31    Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 0.91/1.31    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 0.91/1.31    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31    , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 0.91/1.31    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 0.91/1.31    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 0.91/1.31    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 0.91/1.31    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.91/1.31    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.91/1.31    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.91/1.31     ), Y, X ) ), =( Z, T ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.91/1.31    , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.91/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.91/1.31    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.91/1.31    , X ) ) ],
% 0.91/1.31     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 0.91/1.31    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.91/1.31    'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ), 
% 0.91/1.31    'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.91/1.31     [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ],
% 0.91/1.31     [ =( 'c_Complex_Oexpi'( 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    'tc_Complex_Ocomplex' ) ), 'c_HOL_Oone__class_Oone'( 
% 0.91/1.31    'tc_Complex_Ocomplex' ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.91/1.31    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.91/1.31    X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.91/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 0.91/1.31    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    'tc_Complex_Ocomplex' ) ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 0.91/1.31    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.31     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    Z, T, X ), X ) ) ],
% 0.91/1.31     [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X, 
% 0.91/1.31    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.91/1.31     ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.31    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.31    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.91/1.31    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.91/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.91/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.91/1.31    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.31    , T, X ) ) ), =( Z, T ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31    , T, X ) ) ), =( Y, Z ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ), =( Y, Z ) ],
% 0.91/1.31     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31     ) ), =( Y, Z ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.91/1.31    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.91/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.91/1.31    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.91/1.31    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31     [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 0.91/1.31    'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_n', 'tc_Complex_Ocomplex' ), 'v_k'
% 0.91/1.31    , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 0.91/1.31    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 0.91/1.31    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 0.91/1.31    'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ), 
% 0.91/1.31    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.91/1.31     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.91/1.31    'tc_Complex_Ocomplex' ) ) ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.91/1.31     ],
% 0.91/1.31     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 0.91/1.31    'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.91/1.31     ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.91/1.31     ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 0.91/1.31    'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 0.91/1.31    'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.91/1.31     ],
% 0.91/1.31     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.91/1.31     ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31    ,
% 0.91/1.31     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31  ] .
% 0.91/1.31  
% 0.91/1.31  
% 0.91/1.31  percentage equality = 0.129646, percentage horn = 0.778774
% 0.91/1.31  This is a problem with some equality
% 0.91/1.31  
% 0.91/1.31  
% 0.91/1.31  
% 0.91/1.31  Options Used:
% 0.91/1.31  
% 0.91/1.31  useres =            1
% 0.91/1.31  useparamod =        1
% 0.91/1.31  useeqrefl =         1
% 0.91/1.31  useeqfact =         1
% 0.91/1.31  usefactor =         1
% 0.91/1.31  usesimpsplitting =  0
% 0.91/1.31  usesimpdemod =      5
% 0.91/1.31  usesimpres =        3
% 0.91/1.31  
% 0.91/1.31  resimpinuse      =  1000
% 0.91/1.31  resimpclauses =     20000
% 0.91/1.31  substype =          eqrewr
% 0.91/1.31  backwardsubs =      1
% 0.91/1.31  selectoldest =      5
% 0.91/1.31  
% 0.91/1.31  litorderings [0] =  split
% 0.91/1.31  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.91/1.31  
% 0.91/1.31  termordering =      kbo
% 0.91/1.31  
% 0.91/1.31  litapriori =        0
% 0.91/1.31  termapriori =       1
% 0.91/1.31  litaposteriori =    0
% 0.91/1.31  termaposteriori =   0
% 0.91/1.31  demodaposteriori =  0
% 0.91/1.31  ordereqreflfact =   0
% 0.91/1.31  
% 0.91/1.31  litselect =         negord
% 0.91/1.31  
% 0.91/1.31  maxweight =         15
% 0.91/1.31  maxdepth =          30000
% 0.91/1.31  maxlength =         115
% 0.91/1.31  maxnrvars =         195
% 0.91/1.31  excuselevel =       1
% 0.91/1.31  increasemaxweight = 1
% 0.91/1.31  
% 0.91/1.31  maxselected =       10000000
% 0.91/1.31  maxnrclauses =      10000000
% 0.91/1.31  
% 0.91/1.31  showgenerated =    0
% 0.91/1.31  showkept =         0
% 0.91/1.31  showselected =     0
% 0.91/1.31  showdeleted =      0
% 0.91/1.31  showresimp =       1
% 0.91/1.31  showstatus =       2000
% 0.91/1.31  
% 0.91/1.31  prologoutput =     1
% 0.91/1.31  nrgoals =          5000000
% 0.91/1.31  totalproof =       1
% 0.91/1.31  
% 0.91/1.31  Symbols occurring in the translation:
% 0.91/1.31  
% 0.91/1.31  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.91/1.31  .  [1, 2]      (w:1, o:103, a:1, s:1, b:0), 
% 0.91/1.31  !  [4, 1]      (w:0, o:42, a:1, s:1, b:0), 
% 0.91/1.31  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.91/1.31  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.91/1.31  'class_OrderedGroup_Opordered__ab__group__add__abs'  [40, 1]      (w:1, o:
% 0.91/1.31    48, a:1, s:1, b:0), 
% 4.74/5.12  'c_lessequals'  [43, 3]      (w:1, o:133, a:1, s:1, b:0), 
% 4.74/5.12  'c_HOL_Oabs__class_Oabs'  [44, 2]      (w:1, o:128, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oordered__semiring__strict'  [45, 1]      (w:1, o:
% 4.74/5.12    51, a:1, s:1, b:0), 
% 4.74/5.12  'c_HOL_Otimes__class_Otimes'  [47, 3]      (w:1, o:134, a:1, s:1, b:0), 
% 4.74/5.12  'c_HOL_Oord__class_Oless'  [49, 3]      (w:1, o:135, a:1, s:1, b:0), 
% 4.74/5.12  'c_HOL_Ozero__class_Ozero'  [50, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oordered__field'  [51, 1]      (w:1, o:53, a:1, s:1
% 4.74/5.12    , b:0), 
% 4.74/5.12  'class_Ring__and__Field_Odivision__by__zero'  [52, 1]      (w:1, o:56, a:1
% 4.74/5.12    , s:1, b:0), 
% 4.74/5.12  'class_Int_Onumber'  [53, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 4.74/5.12  'c_HOL_Oinverse__class_Odivide'  [54, 3]      (w:1, o:136, a:1, s:1, b:0), 
% 4.74/5.12    
% 4.74/5.12  'c_Int_Onumber__class_Onumber__of'  [56, 2]      (w:1, o:131, a:1, s:1, b:0
% 4.74/5.12    ), 
% 4.74/5.12  'class_Ring__and__Field_Ocomm__semiring__1'  [57, 1]      (w:1, o:55, a:1
% 4.74/5.12    , s:1, b:0), 
% 4.74/5.12  'c_Ring__and__Field_Odvd__class_Odvd'  [58, 3]      (w:1, o:137, a:1, s:1
% 4.74/5.12    , b:0), 
% 4.74/5.12  'class_Ring__and__Field_Odvd'  [59, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oordered__idom'  [61, 1]      (w:1, o:59, a:1, s:1
% 4.74/5.12    , b:0), 
% 4.74/5.12  'class_Int_Onumber__ring'  [62, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 4.74/5.12  'c_HOL_Ouminus__class_Ouminus'  [64, 2]      (w:1, o:129, a:1, s:1, b:0), 
% 4.74/5.12  'class_OrderedGroup_Opordered__ab__group__add'  [65, 1]      (w:1, o:61, a:
% 4.74/5.12    1, s:1, b:0), 
% 4.74/5.12  'c_HOL_Ominus__class_Ominus'  [66, 3]      (w:1, o:138, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Odivision__ring'  [67, 1]      (w:1, o:62, a:1, s:1
% 4.74/5.12    , b:0), 
% 4.74/5.12  'c_HOL_Oinverse__class_Oinverse'  [68, 2]      (w:1, o:130, a:1, s:1, b:0)
% 4.74/5.12    , 
% 4.74/5.12  'class_Orderings_Oorder'  [70, 1]      (w:1, o:63, a:1, s:1, b:0), 
% 4.74/5.12  'class_Orderings_Opreorder'  [72, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 4.74/5.12  'class_Orderings_Olinorder'  [73, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oordered__ring__strict'  [74, 1]      (w:1, o:50
% 4.74/5.12    , a:1, s:1, b:0), 
% 4.74/5.12  'class_Int_Oring__char__0'  [75, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 4.74/5.12  'c_HOL_Oone__class_Oone'  [76, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oordered__semidom'  [77, 1]      (w:1, o:68, a:1
% 4.74/5.12    , s:1, b:0), 
% 4.74/5.12  'c_Power_Opower__class_Opower'  [79, 3]      (w:1, o:139, a:1, s:1, b:0), 
% 4.74/5.12  'tc_nat'  [80, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [82, 1]      (w:
% 4.74/5.12    1, o:69, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Olordered__ring'  [83, 1]      (w:1, o:70, a:1, s:1
% 4.74/5.12    , b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oring'  [84, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oordered__semiring'  [86, 1]      (w:1, o:72, a:1
% 4.74/5.12    , s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oidom'  [87, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 4.74/5.12  'class_OrderedGroup_Olordered__ab__group__add__abs'  [88, 1]      (w:1, o:
% 4.74/5.12    74, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oabs__if'  [89, 1]      (w:1, o:75, a:1, s:1, b:0)
% 4.74/5.12    , 
% 4.74/5.12  'class_OrderedGroup_Ogroup__add'  [94, 1]      (w:1, o:76, a:1, s:1, b:0), 
% 4.74/5.12    
% 4.74/5.12  'class_Lattices_Oboolean__algebra'  [95, 1]      (w:1, o:77, a:1, s:1, b:0)
% 4.74/5.12    , 
% 4.74/5.12  'class_Ring__and__Field_Opordered__ring__abs'  [97, 1]      (w:1, o:78, a:1
% 4.74/5.12    , s:1, b:0), 
% 4.74/5.12  'class_OrderedGroup_Oab__semigroup__idem__mult'  [98, 1]      (w:1, o:79
% 4.74/5.12    , a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Omult__mono1'  [99, 1]      (w:1, o:80, a:1, s:1
% 4.74/5.12    , b:0), 
% 4.74/5.12  'class_Ring__and__Field_Omult__mono'  [100, 1]      (w:1, o:81, a:1, s:1
% 4.74/5.12    , b:0), 
% 4.74/5.12  'class_Ring__and__Field_Opordered__ring'  [101, 1]      (w:1, o:82, a:1, s:
% 4.74/5.12    1, b:0), 
% 4.74/5.12  'class_OrderedGroup_Oordered__ab__group__add'  [102, 1]      (w:1, o:47, a:
% 4.74/5.12    1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Oring__no__zero__divisors'  [103, 1]      (w:1, o:
% 4.74/5.12    83, a:1, s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Omult__zero'  [104, 1]      (w:1, o:84, a:1, s:1
% 4.74/5.12    , b:0), 
% 4.74/5.12  'class_RealVector_Oreal__normed__algebra'  [105, 1]      (w:1, o:85, a:1
% 4.74/5.12    , s:1, b:0), 
% 4.74/5.12  'class_Ring__and__Field_Ono__zero__divisors'  [106, 1]      (w:1, o:49, a:1
% 4.74/5.12    , s:1, b:0), 
% 4.74/5.12  'class_SEQ_Obanach'  [107, 1]      (w:1, o:94, a:1, s:1, b:0), 
% 4.74/5.12  'class_RealVector_Oreal__normed__field'  [108, 1]      (w:1, o:86, a:1, s:1
% 31.12/31.47    , b:0), 
% 31.12/31.47  'c_Transcendental_Oexp'  [109, 2]      (w:1, o:132, a:1, s:1, b:0), 
% 31.12/31.47  'class_Ring__and__Field_Ofield'  [110, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 31.12/31.47    
% 31.12/31.47  'class_Ring__and__Field_Opordered__cancel__semiring'  [111, 1]      (w:1
% 31.12/31.47    , o:88, a:1, s:1, b:0), 
% 31.12/31.47  'v_k'  [112, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 31.12/31.47  'class_OrderedGroup_Oab__semigroup__mult'  [113, 1]      (w:1, o:95, a:1
% 31.12/31.47    , s:1, b:0), 
% 31.12/31.47  'class_Ring__and__Field_Opordered__semiring'  [115, 1]      (w:1, o:89, a:1
% 31.12/31.47    , s:1, b:0), 
% 31.12/31.47  'class_Ring__and__Field_Ocomm__ring__1'  [116, 1]      (w:1, o:54, a:1, s:1
% 31.12/31.47    , b:0), 
% 31.12/31.47  'class_OrderedGroup_Olordered__ab__group__add'  [117, 1]      (w:1, o:96
% 31.12/31.47    , a:1, s:1, b:0), 
% 31.12/31.47  'class_OrderedGroup_Omonoid__mult'  [118, 1]      (w:1, o:97, a:1, s:1, b:0
% 31.12/31.47    ), 
% 31.12/31.47  'class_OrderedGroup_Ocomm__monoid__mult'  [119, 1]      (w:1, o:98, a:1, s:
% 31.12/31.47    1, b:0), 
% 31.12/31.47  'class_Ring__and__Field_Oring__1'  [122, 1]      (w:1, o:90, a:1, s:1, b:0)
% 31.12/31.47    , 
% 31.12/31.47  'class_OrderedGroup_Oab__group__add'  [123, 1]      (w:1, o:99, a:1, s:1
% 31.12/31.47    , b:0), 
% 31.12/31.47  'class_Ring__and__Field_Osemiring__0'  [130, 1]      (w:1, o:92, a:1, s:1
% 31.12/31.47    , b:0), 
% 31.12/31.47  'class_Power_Opower'  [131, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 31.12/31.47  'class_Ring__and__Field_Ozero__neq__one'  [132, 1]      (w:1, o:93, a:1, s:
% 31.12/31.47    1, b:0), 
% 31.12/31.47  'v_n'  [134, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 31.12/31.47  'tc_Complex_Ocomplex'  [135, 0]      (w:1, o:40, a:1, s:1, b:0), 
% 31.12/31.47  'c_Complex_Oexpi'  [136, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 31.12/31.47  'c_FFT__Mirabelle_Oroot'  [137, 1]      (w:1, o:102, a:1, s:1, b:0), 
% 31.12/31.47  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [138, 1]      (w:1
% 31.12/31.47    , o:91, a:1, s:1, b:0), 
% 31.12/31.47  'tc_Int_Oint'  [139, 0]      (w:1, o:41, a:1, s:1, b:0).
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Starting Search:
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    7660
% 31.12/31.47  Kept:         2044
% 31.12/31.47  Inuse:        253
% 31.12/31.47  Deleted:      18
% 31.12/31.47  Deletedinuse: 0
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    24193
% 31.12/31.47  Kept:         4692
% 31.12/31.47  Inuse:        391
% 31.12/31.47  Deleted:      37
% 31.12/31.47  Deletedinuse: 12
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    39196
% 31.12/31.47  Kept:         6791
% 31.12/31.47  Inuse:        478
% 31.12/31.47  Deleted:      40
% 31.12/31.47  Deletedinuse: 12
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    61227
% 31.12/31.47  Kept:         8909
% 31.12/31.47  Inuse:        498
% 31.12/31.47  Deleted:      44
% 31.12/31.47  Deletedinuse: 16
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    85683
% 31.12/31.47  Kept:         10922
% 31.12/31.47  Inuse:        576
% 31.12/31.47  Deleted:      67
% 31.12/31.47  Deletedinuse: 24
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    104543
% 31.12/31.47  Kept:         13278
% 31.12/31.47  Inuse:        652
% 31.12/31.47  Deleted:      86
% 31.12/31.47  Deletedinuse: 37
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    117046
% 31.12/31.47  Kept:         15571
% 31.12/31.47  Inuse:        683
% 31.12/31.47  Deleted:      86
% 31.12/31.47  Deletedinuse: 37
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    134323
% 31.12/31.47  Kept:         17698
% 31.12/31.47  Inuse:        718
% 31.12/31.47  Deleted:      90
% 31.12/31.47  Deletedinuse: 37
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    147121
% 31.12/31.47  Kept:         19703
% 31.12/31.47  Inuse:        752
% 31.12/31.47  Deleted:      90
% 31.12/31.47  Deletedinuse: 37
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying clauses:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    157372
% 31.12/31.47  Kept:         21821
% 31.12/31.47  Inuse:        768
% 31.12/31.47  Deleted:      944
% 31.12/31.47  Deletedinuse: 37
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    174268
% 31.12/31.47  Kept:         24573
% 31.12/31.47  Inuse:        818
% 31.12/31.47  Deleted:      950
% 31.12/31.47  Deletedinuse: 43
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    205463
% 31.12/31.47  Kept:         26775
% 31.12/31.47  Inuse:        828
% 31.12/31.47  Deleted:      950
% 31.12/31.47  Deletedinuse: 43
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    224548
% 31.12/31.47  Kept:         28981
% 31.12/31.47  Inuse:        837
% 31.12/31.47  Deleted:      952
% 31.12/31.47  Deletedinuse: 44
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  
% 31.12/31.47  Intermediate Status:
% 31.12/31.47  Generated:    239594
% 31.12/31.47  Kept:         31293
% 31.12/31.47  Inuse:        842
% 31.12/31.47  Deleted:      952
% 31.12/31.47  Deletedinuse: 44
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 31.12/31.47  
% 31.12/31.47  Resimplifying inuse:
% 31.12/31.47  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    258195
% 76.29/76.65  Kept:         33934
% 76.29/76.65  Inuse:        872
% 76.29/76.65  Deleted:      952
% 76.29/76.65  Deletedinuse: 44
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    285684
% 76.29/76.65  Kept:         37159
% 76.29/76.65  Inuse:        897
% 76.29/76.65  Deleted:      952
% 76.29/76.65  Deletedinuse: 44
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    310546
% 76.29/76.65  Kept:         40373
% 76.29/76.65  Inuse:        922
% 76.29/76.65  Deleted:      952
% 76.29/76.65  Deletedinuse: 44
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying clauses:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    323563
% 76.29/76.65  Kept:         42463
% 76.29/76.65  Inuse:        947
% 76.29/76.65  Deleted:      1243
% 76.29/76.65  Deletedinuse: 45
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    334587
% 76.29/76.65  Kept:         44739
% 76.29/76.65  Inuse:        962
% 76.29/76.65  Deleted:      1245
% 76.29/76.65  Deletedinuse: 47
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    346925
% 76.29/76.65  Kept:         46934
% 76.29/76.65  Inuse:        990
% 76.29/76.65  Deleted:      1247
% 76.29/76.65  Deletedinuse: 47
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    364463
% 76.29/76.65  Kept:         49413
% 76.29/76.65  Inuse:        1010
% 76.29/76.65  Deleted:      1247
% 76.29/76.65  Deletedinuse: 47
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    379378
% 76.29/76.65  Kept:         51479
% 76.29/76.65  Inuse:        1050
% 76.29/76.65  Deleted:      1247
% 76.29/76.65  Deletedinuse: 47
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    395437
% 76.29/76.65  Kept:         53485
% 76.29/76.65  Inuse:        1091
% 76.29/76.65  Deleted:      1247
% 76.29/76.65  Deletedinuse: 47
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    408610
% 76.29/76.65  Kept:         55527
% 76.29/76.65  Inuse:        1114
% 76.29/76.65  Deleted:      1251
% 76.29/76.65  Deletedinuse: 50
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    424183
% 76.29/76.65  Kept:         57538
% 76.29/76.65  Inuse:        1141
% 76.29/76.65  Deleted:      1251
% 76.29/76.65  Deletedinuse: 50
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    451975
% 76.29/76.65  Kept:         60527
% 76.29/76.65  Inuse:        1159
% 76.29/76.65  Deleted:      1251
% 76.29/76.65  Deletedinuse: 50
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying clauses:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    472027
% 76.29/76.65  Kept:         62617
% 76.29/76.65  Inuse:        1203
% 76.29/76.65  Deleted:      2840
% 76.29/76.65  Deletedinuse: 51
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    496513
% 76.29/76.65  Kept:         64817
% 76.29/76.65  Inuse:        1213
% 76.29/76.65  Deleted:      2844
% 76.29/76.65  Deletedinuse: 55
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    506705
% 76.29/76.65  Kept:         66823
% 76.29/76.65  Inuse:        1234
% 76.29/76.65  Deleted:      2844
% 76.29/76.65  Deletedinuse: 55
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    529112
% 76.29/76.65  Kept:         69291
% 76.29/76.65  Inuse:        1252
% 76.29/76.65  Deleted:      2845
% 76.29/76.65  Deletedinuse: 55
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    542482
% 76.29/76.65  Kept:         71486
% 76.29/76.65  Inuse:        1282
% 76.29/76.65  Deleted:      2845
% 76.29/76.65  Deletedinuse: 55
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    556868
% 76.29/76.65  Kept:         73643
% 76.29/76.65  Inuse:        1317
% 76.29/76.65  Deleted:      2845
% 76.29/76.65  Deletedinuse: 55
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    572740
% 76.29/76.65  Kept:         75692
% 76.29/76.65  Inuse:        1348
% 76.29/76.65  Deleted:      2857
% 76.29/76.65  Deletedinuse: 63
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    586962
% 76.29/76.65  Kept:         77923
% 76.29/76.65  Inuse:        1373
% 76.29/76.65  Deleted:      2857
% 76.29/76.65  Deletedinuse: 63
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    604619
% 76.29/76.65  Kept:         80255
% 76.29/76.65  Inuse:        1398
% 76.29/76.65  Deleted:      2857
% 76.29/76.65  Deletedinuse: 63
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying clauses:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    625607
% 76.29/76.65  Kept:         82885
% 76.29/76.65  Inuse:        1423
% 76.29/76.65  Deleted:      3555
% 76.29/76.65  Deletedinuse: 63
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    655039
% 76.29/76.65  Kept:         85228
% 76.29/76.65  Inuse:        1428
% 76.29/76.65  Deleted:      3555
% 76.29/76.65  Deletedinuse: 63
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 76.29/76.65  
% 76.29/76.65  
% 76.29/76.65  Intermediate Status:
% 76.29/76.65  Generated:    674210
% 76.29/76.65  Kept:         87594
% 76.29/76.65  Inuse:        1463
% 76.29/76.65  Deleted:      3555
% 76.29/76.65  Deletedinuse: 63
% 76.29/76.65  
% 76.29/76.65  Resimplifying inuse:
% 76.29/76.65  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    693610
% 120.52/120.90  Kept:         90663
% 120.52/120.90  Inuse:        1490
% 120.52/120.90  Deleted:      3555
% 120.52/120.90  Deletedinuse: 63
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    702163
% 120.52/120.90  Kept:         93000
% 120.52/120.90  Inuse:        1497
% 120.52/120.90  Deleted:      3556
% 120.52/120.90  Deletedinuse: 64
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    714297
% 120.52/120.90  Kept:         95067
% 120.52/120.90  Inuse:        1533
% 120.52/120.90  Deleted:      3558
% 120.52/120.90  Deletedinuse: 66
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    727651
% 120.52/120.90  Kept:         97094
% 120.52/120.90  Inuse:        1564
% 120.52/120.90  Deleted:      3559
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    737408
% 120.52/120.90  Kept:         99098
% 120.52/120.90  Inuse:        1590
% 120.52/120.90  Deleted:      3559
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    753930
% 120.52/120.90  Kept:         101292
% 120.52/120.90  Inuse:        1608
% 120.52/120.90  Deleted:      3559
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying clauses:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    780045
% 120.52/120.90  Kept:         104449
% 120.52/120.90  Inuse:        1623
% 120.52/120.90  Deleted:      5941
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    797275
% 120.52/120.90  Kept:         106789
% 120.52/120.90  Inuse:        1638
% 120.52/120.90  Deleted:      5941
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    863876
% 120.52/120.90  Kept:         109799
% 120.52/120.90  Inuse:        1648
% 120.52/120.90  Deleted:      5941
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    885297
% 120.52/120.90  Kept:         112759
% 120.52/120.90  Inuse:        1673
% 120.52/120.90  Deleted:      5941
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    899040
% 120.52/120.90  Kept:         114968
% 120.52/120.90  Inuse:        1683
% 120.52/120.90  Deleted:      5941
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    907357
% 120.52/120.90  Kept:         117008
% 120.52/120.90  Inuse:        1708
% 120.52/120.90  Deleted:      5941
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    925483
% 120.52/120.90  Kept:         119027
% 120.52/120.90  Inuse:        1729
% 120.52/120.90  Deleted:      5941
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    936268
% 120.52/120.90  Kept:         121380
% 120.52/120.90  Inuse:        1759
% 120.52/120.90  Deleted:      5945
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying clauses:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    946749
% 120.52/120.90  Kept:         123401
% 120.52/120.90  Inuse:        1783
% 120.52/120.90  Deleted:      6324
% 120.52/120.90  Deletedinuse: 67
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    958294
% 120.52/120.90  Kept:         125429
% 120.52/120.90  Inuse:        1803
% 120.52/120.90  Deleted:      6326
% 120.52/120.90  Deletedinuse: 68
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    970368
% 120.52/120.90  Kept:         127942
% 120.52/120.90  Inuse:        1823
% 120.52/120.90  Deleted:      6326
% 120.52/120.90  Deletedinuse: 68
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    981689
% 120.52/120.90  Kept:         130504
% 120.52/120.90  Inuse:        1842
% 120.52/120.90  Deleted:      6328
% 120.52/120.90  Deletedinuse: 69
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    993654
% 120.52/120.90  Kept:         132512
% 120.52/120.90  Inuse:        1863
% 120.52/120.90  Deleted:      6336
% 120.52/120.90  Deletedinuse: 73
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1002544
% 120.52/120.90  Kept:         134559
% 120.52/120.90  Inuse:        1873
% 120.52/120.90  Deleted:      6345
% 120.52/120.90  Deletedinuse: 77
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1014990
% 120.52/120.90  Kept:         136663
% 120.52/120.90  Inuse:        1893
% 120.52/120.90  Deleted:      6345
% 120.52/120.90  Deletedinuse: 77
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1030346
% 120.52/120.90  Kept:         139029
% 120.52/120.90  Inuse:        1916
% 120.52/120.90  Deleted:      6347
% 120.52/120.90  Deletedinuse: 77
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1052768
% 120.52/120.90  Kept:         141514
% 120.52/120.90  Inuse:        1931
% 120.52/120.90  Deleted:      6347
% 120.52/120.90  Deletedinuse: 77
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying clauses:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1065128
% 120.52/120.90  Kept:         143686
% 120.52/120.90  Inuse:        1944
% 120.52/120.90  Deleted:      7524
% 120.52/120.90  Deletedinuse: 90
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1083278
% 120.52/120.90  Kept:         146145
% 120.52/120.90  Inuse:        1964
% 120.52/120.90  Deleted:      7524
% 120.52/120.90  Deletedinuse: 90
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1098549
% 120.52/120.90  Kept:         148527
% 120.52/120.90  Inuse:        1984
% 120.52/120.90  Deleted:      7524
% 120.52/120.90  Deletedinuse: 90
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1117360
% 120.52/120.90  Kept:         150766
% 120.52/120.90  Inuse:        1994
% 120.52/120.90  Deleted:      7524
% 120.52/120.90  Deletedinuse: 90
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1135339
% 120.52/120.90  Kept:         153200
% 120.52/120.90  Inuse:        1995
% 120.52/120.90  Deleted:      7528
% 120.52/120.90  Deletedinuse: 94
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1149982
% 120.52/120.90  Kept:         155560
% 120.52/120.90  Inuse:        2009
% 120.52/120.90  Deleted:      8044
% 120.52/120.90  Deletedinuse: 610
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1159340
% 120.52/120.90  Kept:         157701
% 120.52/120.90  Inuse:        2029
% 120.52/120.90  Deleted:      8044
% 120.52/120.90  Deletedinuse: 610
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1168608
% 120.52/120.90  Kept:         160020
% 120.52/120.90  Inuse:        2049
% 120.52/120.90  Deleted:      8044
% 120.52/120.90  Deletedinuse: 610
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1188382
% 120.52/120.90  Kept:         162144
% 120.52/120.90  Inuse:        2069
% 120.52/120.90  Deleted:      8044
% 120.52/120.90  Deletedinuse: 610
% 120.52/120.90  
% 120.52/120.90  Resimplifying clauses:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1196889
% 120.52/120.90  Kept:         164271
% 120.52/120.90  Inuse:        2094
% 120.52/120.90  Deleted:      24045
% 120.52/120.90  Deletedinuse: 611
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1203946
% 120.52/120.90  Kept:         166271
% 120.52/120.90  Inuse:        2115
% 120.52/120.90  Deleted:      24045
% 120.52/120.90  Deletedinuse: 611
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1238690
% 120.52/120.90  Kept:         169989
% 120.52/120.90  Inuse:        2124
% 120.52/120.90  Deleted:      24045
% 120.52/120.90  Deletedinuse: 611
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1256963
% 120.52/120.90  Kept:         171999
% 120.52/120.90  Inuse:        2143
% 120.52/120.90  Deleted:      24045
% 120.52/120.90  Deletedinuse: 611
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1288500
% 120.52/120.90  Kept:         175531
% 120.52/120.90  Inuse:        2144
% 120.52/120.90  Deleted:      24045
% 120.52/120.90  Deletedinuse: 611
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1299895
% 120.52/120.90  Kept:         177806
% 120.52/120.90  Inuse:        2149
% 120.52/120.90  Deleted:      24045
% 120.52/120.90  Deletedinuse: 611
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1315225
% 120.52/120.90  Kept:         179921
% 120.52/120.90  Inuse:        2164
% 120.52/120.90  Deleted:      24045
% 120.52/120.90  Deletedinuse: 611
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  Intermediate Status:
% 120.52/120.90  Generated:    1331616
% 120.52/120.90  Kept:         182564
% 120.52/120.90  Inuse:        2184
% 120.52/120.90  Deleted:      24045
% 120.52/120.90  Deletedinuse: 611
% 120.52/120.90  
% 120.52/120.90  Resimplifying inuse:
% 120.52/120.90  Done
% 120.52/120.90  
% 120.52/120.90  Resimplifying clauses:
% 120.52/120.90  
% 120.52/120.90  Bliksems!, er is een bewijs:
% 120.52/120.90  % SZS status Unsatisfiable
% 120.52/120.90  % SZS output start Refutation
% 120.52/120.90  
% 120.52/120.90  clause( 10, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.90    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.90    , Z, X ), X ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 180, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y
% 120.52/120.90    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 120.52/120.90    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.52/120.90    , X ) ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 438, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X )
% 120.52/120.90    , X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 530, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 120.52/120.90    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 120.52/120.90    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 537, [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 
% 120.52/120.90    X ), X, 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.52/120.90    'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 541, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.52/120.90    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.90     ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 551, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.90    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.52/120.90    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k', 
% 120.52/120.90    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.52/120.90     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'( 
% 120.52/120.90    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.52/120.90    , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.52/120.90    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.52/120.90    , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 621, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 120.52/120.90    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 632, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' )
% 120.52/120.90     ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 633, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ]
% 120.52/120.90     )
% 120.52/120.90  .
% 120.52/120.90  clause( 635, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ]
% 120.52/120.90     )
% 120.52/120.90  .
% 120.52/120.90  clause( 835, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.52/120.90    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 1663, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 
% 120.52/120.90    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.90    'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 124399, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.52/120.90    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 124422, [ =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X, 
% 120.52/120.90    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.90    'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 171844, [ =( 'c_Power_Opower__class_Opower'( 
% 120.52/120.90    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X, 
% 120.52/120.90    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.52/120.90     ) ) ] )
% 120.52/120.90  .
% 120.52/120.90  clause( 182577, [] )
% 120.52/120.90  .
% 120.52/120.90  
% 120.52/120.90  
% 120.52/120.90  % SZS output end Refutation
% 120.52/120.90  found a proof!
% 120.52/120.90  
% 120.52/120.90  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 120.52/120.90  
% 120.52/120.90  initialclauses(
% 120.52/120.90  [ clause( 182579, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.90    X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182580, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.90    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.90  , clause( 182581, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.90  , clause( 182582, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.90    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.90  , clause( 182583, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90     ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90     ), X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182584, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90     ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90     ), X ), X ) ) ] )
% 120.52/120.90  , clause( 182585, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.90  , clause( 182586, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 120.52/120.90     )
% 120.52/120.90  , clause( 182587, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 120.52/120.90     ] )
% 120.52/120.90  , clause( 182588, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.90    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90    , Y, X ), X ) ] )
% 120.52/120.90  , clause( 182589, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.90    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.90    , Z, X ), X ) ] )
% 120.52/120.90  , clause( 182590, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 120.52/120.90    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.90    , Z, X ), X ) ] )
% 120.52/120.90  , clause( 182591, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 120.52/120.90    'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 120.52/120.90     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90     ), X ) ) ] )
% 120.52/120.90  , clause( 182592, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90  , clause( 182593, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 120.52/120.90    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90  , clause( 182594, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.90    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 120.52/120.90    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.90    'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 120.52/120.90    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 120.52/120.90  , clause( 182595, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 120.52/120.90    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 120.52/120.90     ] )
% 120.52/120.90  , clause( 182596, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182597, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90  , clause( 182598, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.90    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 120.52/120.90     ), X ), Y ) ] )
% 120.52/120.90  , clause( 182599, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182600, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90  , clause( 182601, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.90    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    Z, Y, X ) ) ] )
% 120.52/120.90  , clause( 182602, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.90    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    Z, Y, X ) ) ] )
% 120.52/120.90  , clause( 182603, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.90  , clause( 182604, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.90  , clause( 182605, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 120.52/120.90    , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 120.52/120.90  , clause( 182606, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 120.52/120.90    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.90  , clause( 182607, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 120.52/120.90    'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 120.52/120.90     )
% 120.52/120.90  , clause( 182608, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 120.52/120.90  , clause( 182609, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 120.52/120.90    'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 120.52/120.90     )
% 120.52/120.90  , clause( 182610, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 120.52/120.90  , clause( 182611, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 120.52/120.90     )
% 120.52/120.90  , clause( 182612, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 120.52/120.90    Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 120.52/120.90  , clause( 182613, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 120.52/120.90  , clause( 182614, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 120.52/120.90    'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 120.52/120.90     )
% 120.52/120.90  , clause( 182615, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90    , T, X ), X ) ) ] )
% 120.52/120.90  , clause( 182616, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90    , Z, X ), X ) ) ] )
% 120.52/120.90  , clause( 182617, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 120.52/120.90     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 120.52/120.90     ) ) ] )
% 120.52/120.90  , clause( 182618, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.90    X ), T, X ) ) ] )
% 120.52/120.90  , clause( 182619, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 120.52/120.90     ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.90     ) ) ] )
% 120.52/120.90  , clause( 182620, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90  , clause( 182621, [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber__ring'( X ) ), ~( =( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 120.52/120.90  , clause( 182622, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.90    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.90  , clause( 182623, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.90    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 120.52/120.90    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.90    , Y, X ) ) ] )
% 120.52/120.90  , clause( 182624, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.90    'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 120.52/120.90    'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.90     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.90  , clause( 182625, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.90    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90  , clause( 182626, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.90    , X ) ) ] )
% 120.52/120.90  , clause( 182627, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 120.52/120.90    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.90    'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 120.52/120.90  , clause( 182628, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.90    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182629, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.90    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90  , clause( 182630, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90  , clause( 182631, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182632, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 120.52/120.90     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 120.52/120.90    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182633, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.90    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 120.52/120.90    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 120.52/120.90     ] )
% 120.52/120.90  , clause( 182634, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.90    X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90  , clause( 182635, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90  , clause( 182636, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90  , clause( 182637, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.90  , clause( 182638, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.90    ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.90    'c_Power_Opower__class_Opower'( T, Z, X ) ) ), =( Y, T ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 120.52/120.90    'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 120.52/120.90     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90  , clause( 182639, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.90    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90     ), X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182640, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90    , X ), X ), X ) ) ] )
% 120.52/120.90  , clause( 182641, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90     ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90  , clause( 182642, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90    , X ), X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182643, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.90    X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.90    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90  , clause( 182644, [ ~( 
% 120.52/120.90    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 120.52/120.90  , clause( 182645, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90  , clause( 182646, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182647, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.90    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.90  , clause( 182648, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 120.52/120.90  , clause( 182649, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90  , clause( 182650, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90  , clause( 182651, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.90    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 120.52/120.90  , clause( 182652, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.90    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 120.52/120.90    , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 120.52/120.90  , clause( 182653, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90     ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.90    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 120.52/120.90     ) ] )
% 120.52/120.90  , clause( 182654, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90     ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.90    , X ), X ) ) ] )
% 120.52/120.90  , clause( 182655, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.90    X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 120.52/120.90    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.90     ) ] )
% 120.52/120.90  , clause( 182656, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ominus__class_Ominus'( 
% 120.52/120.90    Z, T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.90    , Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 120.52/120.90  , clause( 182657, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.90    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.90    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.90    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182658, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182659, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.90    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.90  , clause( 182660, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.90    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.90  , clause( 182661, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182662, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 120.52/120.90    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182663, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.90    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 120.52/120.90  , clause( 182664, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90    , Z, X ), X ) ) ] )
% 120.52/120.90  , clause( 182665, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90    , T, X ), X ) ) ] )
% 120.52/120.90  , clause( 182666, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90    , Z, X ), X ) ) ] )
% 120.52/120.90  , clause( 182667, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90    , T, X ), X ) ) ] )
% 120.52/120.90  , clause( 182668, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 120.52/120.90     )
% 120.52/120.90  , clause( 182669, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 120.52/120.90    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 120.52/120.90    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.90     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.90     ) ] )
% 120.52/120.90  , clause( 182670, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 120.52/120.90    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.90     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.90     ) ] )
% 120.52/120.90  , clause( 182671, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.90    X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.90    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 120.52/120.90    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90  , clause( 182672, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90  , clause( 182673, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90  , clause( 182674, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.90    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 120.52/120.90    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 120.52/120.90  , clause( 182675, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.90    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.90    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 120.52/120.90    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 120.52/120.90  , clause( 182676, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 120.52/120.90    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 120.52/120.90     ) ] )
% 120.52/120.90  , clause( 182677, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 
% 120.52/120.90    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.90  , clause( 182678, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.90    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.90    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.90    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.90    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 
% 120.52/120.90    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.90  , clause( 182679, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.90    , X ), X ) ) ] )
% 120.52/120.90  , clause( 182680, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.90    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.90    Z, Y, X ) ) ] )
% 120.52/120.90  , clause( 182681, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.90    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.90    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 120.52/120.90    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 120.52/120.91  , clause( 182682, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 120.52/120.91  , clause( 182683, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 120.52/120.91  , clause( 182684, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182685, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 182686, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 120.52/120.91    , X ) ) ), =( Y, Z ) ] )
% 120.52/120.91  , clause( 182687, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 120.52/120.91    , X ) ) ), =( Y, Z ) ] )
% 120.52/120.91  , clause( 182688, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 
% 120.52/120.91    'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182689, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 120.52/120.91     ), =( Z, Y ) ] )
% 120.52/120.91  , clause( 182690, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 
% 120.52/120.91    'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182691, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 120.52/120.91  , clause( 182692, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 120.52/120.91  , clause( 182693, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 
% 120.52/120.91    'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 120.52/120.91  , clause( 182694, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 120.52/120.91  , clause( 182695, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182696, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182697, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 120.52/120.91     ), =( Z, Y ) ] )
% 120.52/120.91  , clause( 182698, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182699, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ] )
% 120.52/120.91  , clause( 182700, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 182701, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ] )
% 120.52/120.91  , clause( 182702, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ] )
% 120.52/120.91  , clause( 182703, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182704, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 120.52/120.91    , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 120.52/120.91     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182705, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 120.52/120.91    , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 120.52/120.91     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182706, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 120.52/120.91    , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 120.52/120.91     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182707, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 120.52/120.91    , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 120.52/120.91     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182708, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.91    , Z, X ) ) ] )
% 120.52/120.91  , clause( 182709, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 120.52/120.91    X ), X ) ) ] )
% 120.52/120.91  , clause( 182710, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 120.52/120.91     ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182711, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182712, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 182713, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182714, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182715, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182716, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 120.52/120.91    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182717, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 120.52/120.91    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91     ), X ) ] )
% 120.52/120.91  , clause( 182718, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 120.52/120.91    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91     ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.91  , clause( 182719, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ) ] )
% 120.52/120.91  , clause( 182720, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182721, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182722, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182723, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182724, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182725, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182726, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182727, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182728, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 120.52/120.91    ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182729, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.91    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 182730, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.91    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182731, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 120.52/120.91    , X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182732, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 120.52/120.91    , X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182733, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 182734, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 182735, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 182736, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 182737, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 182738, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 182739, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91     ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ] )
% 120.52/120.91  , clause( 182740, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 120.52/120.91     ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 120.52/120.91  , clause( 182741, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 182742, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 120.52/120.91  , clause( 182743, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182744, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182745, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182746, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182747, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182748, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91  , clause( 182749, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 182750, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182751, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 182752, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 120.52/120.91  , clause( 182753, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182754, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ), T, X ) ) ] )
% 120.52/120.91  , clause( 182755, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182756, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182757, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 182758, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182759, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182760, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91     ), Y ) ] )
% 120.52/120.91  , clause( 182761, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 182762, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 182763, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91     ), Y ) ] )
% 120.52/120.91  , clause( 182764, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91     ), Y ) ] )
% 120.52/120.91  , clause( 182765, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 120.52/120.91     ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182766, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 120.52/120.91     ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182767, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.91    , X ), X ) ) ] )
% 120.52/120.91  , clause( 182768, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.91    , X ), X ) ) ] )
% 120.52/120.91  , clause( 182769, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182770, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182771, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 120.52/120.91    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182772, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 120.52/120.91    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182773, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182774, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91    , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182775, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182776, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 120.52/120.91    =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182777, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182778, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182779, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 120.52/120.91    X ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182780, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 120.52/120.91    X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182781, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182782, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182783, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182784, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182785, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182786, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182787, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182788, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182789, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182790, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , X ) ] )
% 120.52/120.91  , clause( 182791, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 120.52/120.91     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182792, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 182793, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91    , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182794, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 120.52/120.91    , =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182795, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182796, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 120.52/120.91    =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182797, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 120.52/120.91     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182798, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 120.52/120.91    X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182799, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 120.52/120.91    , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182800, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 120.52/120.91    , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182801, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182802, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 120.52/120.91     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 120.52/120.91  , clause( 182803, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 120.52/120.91    'class_RealVector_Oreal__normed__field'( X ) ), ~( =( 
% 120.52/120.91    'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 120.52/120.91  , clause( 182804, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182805, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182806, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182807, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 120.52/120.91    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ) ) ] )
% 120.52/120.91  , clause( 182808, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 120.52/120.91    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ) ) ] )
% 120.52/120.91  , clause( 182809, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 120.52/120.91    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ) ) ] )
% 120.52/120.91  , clause( 182810, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182811, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182812, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    X ) ) ] )
% 120.52/120.91  , clause( 182813, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 120.52/120.91    , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182814, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ), X ) ) ] )
% 120.52/120.91  , clause( 182815, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 120.52/120.91    , X ) ] )
% 120.52/120.91  , clause( 182816, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 120.52/120.91    , X ), X ) ] )
% 120.52/120.91  , clause( 182817, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 182818, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 182819, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 120.52/120.91    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 120.52/120.91    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182820, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 120.52/120.91  , clause( 182821, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 120.52/120.91  , clause( 182822, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182823, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 120.52/120.91    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 120.52/120.91    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182824, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91    , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182825, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 182826, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 182827, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91  , clause( 182828, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 120.52/120.91    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91    , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182829, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182830, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 120.52/120.91    Z, X ) ) ] )
% 120.52/120.91  , clause( 182831, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , T, X ) ] )
% 120.52/120.91  , clause( 182832, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , T, X ) ] )
% 120.52/120.91  , clause( 182833, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 120.52/120.91    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 182834, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 182835, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 120.52/120.91    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , Z, X ) ] )
% 120.52/120.91  , clause( 182836, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 120.52/120.91    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , Z, X ) ] )
% 120.52/120.91  , clause( 182837, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 120.52/120.91    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 120.52/120.91    , Y, X ) ) ] )
% 120.52/120.91  , clause( 182838, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91  , clause( 182839, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 120.52/120.91     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 120.52/120.91    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 120.52/120.91    , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182840, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91  , clause( 182841, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.91  , clause( 182842, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91  , clause( 182843, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182844, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 120.52/120.91    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ] )
% 120.52/120.91  , clause( 182845, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182846, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182847, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Y, T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182848, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Y, T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182849, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 120.52/120.91    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182850, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 120.52/120.91    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182851, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 120.52/120.91    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182852, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =( 
% 120.52/120.91    Y, Z ) ] )
% 120.52/120.91  , clause( 182853, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 
% 120.52/120.91    'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 120.52/120.91  , clause( 182854, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182855, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =( 
% 120.52/120.91    Z, Y ) ] )
% 120.52/120.91  , clause( 182856, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 182857, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.91    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 120.52/120.91    Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182858, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182859, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182860, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182861, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 120.52/120.91  , clause( 182862, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182863, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182864, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182865, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    'tc_nat' ), 'v_k', 'tc_nat' ) ] )
% 120.52/120.91  , clause( 182866, [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 182867, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182868, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 120.52/120.91    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91     ), X ), X ) ) ] )
% 120.52/120.91  , clause( 182869, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182870, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 182871, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182872, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 182873, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 120.52/120.91     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91    , X ), T, X ) ) ] )
% 120.52/120.91  , clause( 182874, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 120.52/120.91     ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91    , T, X ), X ) ) ] )
% 120.52/120.91  , clause( 182875, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 120.52/120.91     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91    , X ), T, X ) ) ] )
% 120.52/120.91  , clause( 182876, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182877, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 120.52/120.91    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 120.52/120.91    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182878, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182879, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182880, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182881, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182882, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182883, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182884, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182885, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 120.52/120.91     ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91    , Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182886, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 120.52/120.91     ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91    , Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182887, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Y, Y, X ) ) ] )
% 120.52/120.91  , clause( 182888, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182889, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 120.52/120.91    , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 120.52/120.91    , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 182890, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 120.52/120.91    , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 120.52/120.91    , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 182891, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 182892, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 120.52/120.91    X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182893, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182894, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 120.52/120.91    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 182895, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182896, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182897, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 120.52/120.91    Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182898, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 120.52/120.91    Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182899, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.91    , X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182900, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.91    , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182901, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182902, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182903, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 120.52/120.91     ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 120.52/120.91  , clause( 182904, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182905, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182906, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182907, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182908, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182909, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182910, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182911, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182912, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 120.52/120.91    , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182913, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 120.52/120.91    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182914, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182915, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 120.52/120.91    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182916, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182917, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.91  , clause( 182918, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182919, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91  , clause( 182920, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182921, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91  , clause( 182922, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182923, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182924, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182925, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182926, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91  , clause( 182927, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ] )
% 120.52/120.91  , clause( 182928, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91  , clause( 182929, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 120.52/120.91    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182930, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 182931, [ ~( 'c_HOL_Oord__class_Oless'( X, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 182932, [ ~( 'c_HOL_Oord__class_Oless'( X, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 182933, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182934, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 120.52/120.91  , clause( 182935, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182936, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 120.52/120.91  , clause( 182937, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 182938, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 120.52/120.91    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182939, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ), X ) ) ] )
% 120.52/120.91  , clause( 182940, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182941, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182942, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182943, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182944, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182945, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182946, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182947, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182948, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ] )
% 120.52/120.91  , clause( 182949, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 182950, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182951, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 120.52/120.91    , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 120.52/120.91  , clause( 182952, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 120.52/120.91    X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91    , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 182953, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 120.52/120.91    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 120.52/120.91    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182954, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 182955, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182956, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 120.52/120.91    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ), T, X ) ) ] )
% 120.52/120.91  , clause( 182957, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.91    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182958, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 120.52/120.91    X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182959, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 120.52/120.91    Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182960, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.91    Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182961, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 120.52/120.91    X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182962, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 182963, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 182964, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 120.52/120.91    , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 120.52/120.91     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 182965, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 120.52/120.91     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182966, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 182967, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 182968, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91  , clause( 182969, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182970, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182971, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91  , clause( 182972, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182973, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 182974, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 182975, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 182976, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 120.52/120.91    X ) ] )
% 120.52/120.91  , clause( 182977, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 182978, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 182979, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 182980, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182981, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182982, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 182983, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 120.52/120.91     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 182984, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91    , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 182985, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 182986, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 120.52/120.91    X ), T, X ) ) ] )
% 120.52/120.91  , clause( 182987, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 182988, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 120.52/120.91    X ), T, X ) ) ] )
% 120.52/120.91  , clause( 182989, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 120.52/120.91     ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 182990, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 120.52/120.91     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91    , Y, X ) ) ] )
% 120.52/120.91  , clause( 182991, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 120.52/120.91     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91    , Y, X ) ) ] )
% 120.52/120.91  , clause( 182992, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 182993, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 120.52/120.91    X ) ) ] )
% 120.52/120.91  , clause( 182994, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 120.52/120.91     ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 182995, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ), 
% 120.52/120.91    ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 120.52/120.91  , clause( 182996, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ), 
% 120.52/120.91    ~( 'c_lessequals'( U, T, X ) ) ] )
% 120.52/120.91  , clause( 182997, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 120.52/120.91    , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 182998, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 120.52/120.91    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 120.52/120.91  , clause( 182999, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 120.52/120.91    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 183000, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 120.52/120.91     ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183001, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 120.52/120.91     ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183002, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183003, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 120.52/120.91    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183004, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 120.52/120.91    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 120.52/120.91  , clause( 183005, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.91    Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    Y, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183006, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 120.52/120.91     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 120.52/120.91    Y, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183007, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 120.52/120.91    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 120.52/120.91    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183008, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 120.52/120.91     ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183009, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 120.52/120.91    , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 183010, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 120.52/120.91    , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 183011, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 120.52/120.91    Y, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183012, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183013, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 120.52/120.91    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 120.52/120.91  , clause( 183014, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 120.52/120.91    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 120.52/120.91  , clause( 183015, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 183016, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    Y, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183017, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 120.52/120.91    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183018, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Y, T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183019, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 183020, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183021, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 120.52/120.91  , clause( 183022, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183023, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( 
% 120.52/120.91    X ), X ) ] )
% 120.52/120.91  , clause( 183024, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183025, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 120.52/120.91    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 120.52/120.91    'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 183026, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 183027, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 183028, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 183029, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 183030, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 120.52/120.91  , clause( 183031, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 120.52/120.91     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 120.52/120.91    Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183032, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183033, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183034, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183035, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 120.52/120.91    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 183036, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 120.52/120.91     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.52/120.91    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 183037, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 120.52/120.91     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 120.52/120.91  , clause( 183038, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183039, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183040, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183041, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183042, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 120.52/120.91    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 120.52/120.91  , clause( 183043, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 120.52/120.91  , clause( 183044, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183045, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183046, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183047, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183048, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 120.52/120.91    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 120.52/120.91    , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183049, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 120.52/120.91    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183050, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 120.52/120.91    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183051, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183052, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ) ) ] )
% 120.52/120.91  , clause( 183053, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183054, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91  , clause( 183055, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ) ) ] )
% 120.52/120.91  , clause( 183056, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91  , clause( 183057, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91  , clause( 183058, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183059, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91     ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91  , clause( 183060, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91  , clause( 183061, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183062, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183063, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Z, Y, X ) ) ] )
% 120.52/120.91  , clause( 183064, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183065, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Z, Y, X ) ) ] )
% 120.52/120.91  , clause( 183066, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183067, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 120.52/120.91  , clause( 183068, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91    , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), T, X ) ] )
% 120.52/120.91  , clause( 183069, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91    , T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183070, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 120.52/120.91  , clause( 183071, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91    , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91    , T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183072, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183073, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 183074, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.91    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 120.52/120.91    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183075, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 120.52/120.91    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183076, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91  , clause( 183077, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183078, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91  , clause( 183079, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 120.52/120.91    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183080, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183081, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 120.52/120.91    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183082, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    X ) ) ] )
% 120.52/120.91  , clause( 183083, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    Z, X ) ) ] )
% 120.52/120.91  , clause( 183084, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 183085, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183086, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 120.52/120.91     ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 183087, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 120.52/120.91  , clause( 183088, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 183089, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 183090, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 120.52/120.91  , clause( 183091, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 120.52/120.91  , clause( 183092, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~( 
% 120.52/120.91    'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 183093, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ] )
% 120.52/120.91  , clause( 183094, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183095, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183096, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183097, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 183098, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( 
% 120.52/120.91    Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 120.52/120.91  , clause( 183099, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183100, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 183101, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183102, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183103, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ] )
% 120.52/120.91  , clause( 183104, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183105, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 120.52/120.91    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 120.52/120.91    X ), X ) ) ] )
% 120.52/120.91  , clause( 183106, [ ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    'tc_nat' ), 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 183107, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183108, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 120.52/120.91    Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( 
% 120.52/120.91    Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183109, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 120.52/120.91    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 120.52/120.91  , clause( 183110, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 120.52/120.91  , clause( 183111, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183112, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183113, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 120.52/120.91    ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183114, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 183115, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183116, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91  , clause( 183117, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 120.52/120.91    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183118, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91  , clause( 183119, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 120.52/120.91    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91  , clause( 183120, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91  , clause( 183121, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183122, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 120.52/120.91  , clause( 183123, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( 
% 120.52/120.91    Y, Y, X ) ] )
% 120.52/120.91  , clause( 183124, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    Y, X ) ] )
% 120.52/120.91  , clause( 183125, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 120.52/120.91    , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 183126, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 183127, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( 
% 120.52/120.91    Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183128, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 120.52/120.91    , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 120.52/120.91  , clause( 183129, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 120.52/120.91  , clause( 183130, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183131, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183132, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183133, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91  , clause( 183134, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 120.52/120.91    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 120.52/120.91    'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183135, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 120.52/120.91    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 120.52/120.91    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.91  , clause( 183136, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91     ), X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183137, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91    , Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183138, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91    , T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183139, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91    , T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183140, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91    , Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183141, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183142, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 120.52/120.91    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183143, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183144, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 120.52/120.91    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183145, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 120.52/120.91  , clause( 183146, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 120.52/120.91    =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 120.52/120.91    , 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ] )
% 120.52/120.91  , clause( 183147, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    Y, X ) ) ] )
% 120.52/120.91  , clause( 183148, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 120.52/120.91    Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 120.52/120.91  , clause( 183149, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    Y, X ) ) ] )
% 120.52/120.91  , clause( 183150, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    Y, X ) ) ] )
% 120.52/120.91  , clause( 183151, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 120.52/120.91    Y, X ) ) ] )
% 120.52/120.91  , clause( 183152, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183153, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 183154, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183155, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183156, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183157, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183158, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 120.52/120.91    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 120.52/120.91    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ) ) ] )
% 120.52/120.91  , clause( 183159, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 120.52/120.91  , clause( 183160, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.91  , clause( 183161, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183162, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183163, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183164, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183165, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183166, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91  , clause( 183167, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 183168, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 120.52/120.91    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91  , clause( 183169, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 183170, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183171, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183172, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183173, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183174, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183175, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183176, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183177, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 120.52/120.91  , clause( 183178, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183179, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183180, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 120.52/120.91    Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183181, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 120.52/120.91    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ] )
% 120.52/120.91  , clause( 183182, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 120.52/120.91    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91    , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183183, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 120.52/120.91    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183184, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 120.52/120.91    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 120.52/120.91    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183185, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 120.52/120.91    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183186, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 120.52/120.91    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183187, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 120.52/120.91    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183188, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183189, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183190, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183191, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91     ), X ) ) ] )
% 120.52/120.91  , clause( 183192, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183193, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183194, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183195, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183196, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183197, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183198, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 120.52/120.91    , T ) ] )
% 120.52/120.91  , clause( 183199, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 120.52/120.91    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183200, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 183201, [ ~( 'class_Power_Opower'( X ) ), =( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 120.52/120.91    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 183202, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.52/120.91    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183203, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183204, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 120.52/120.91    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 120.52/120.91    , X ) ) ] )
% 120.52/120.91  , clause( 183205, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 120.52/120.91    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 120.52/120.91    'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ), 
% 120.52/120.91    'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 120.52/120.91  , clause( 183206, [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183207, [ =( 'c_Complex_Oexpi'( 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ), 'c_HOL_Oone__class_Oone'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.91  , clause( 183208, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 120.52/120.91    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 120.52/120.91    X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 183209, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183210, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 183211, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183212, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 120.52/120.91    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 183213, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    X ) ) ] )
% 120.52/120.91  , clause( 183214, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183215, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183216, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91  , clause( 183217, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ] )
% 120.52/120.91  , clause( 183218, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 120.52/120.91    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183219, [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.52/120.91  , clause( 183220, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91  , clause( 183221, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183222, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 183223, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 120.52/120.91    =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183224, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183225, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183226, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 120.52/120.91  , clause( 183227, [ ~( 
% 120.52/120.91    'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( =( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183228, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 120.52/120.91     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91     ) ) ] )
% 120.52/120.91  , clause( 183229, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183230, [ =( 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    'c_FFT__Mirabelle_Oroot'( X ), X, 'tc_Complex_Ocomplex' ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.91  , clause( 183231, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 120.52/120.91    =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183232, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183233, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 120.52/120.91  , clause( 183234, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183235, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183236, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183237, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183238, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, 
% 120.52/120.91    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183239, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 120.52/120.91    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ] )
% 120.52/120.91  , clause( 183240, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 120.52/120.91    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 120.52/120.91    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91  , clause( 183241, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183242, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183243, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 120.52/120.91    , T, X ) ) ), =( Z, T ) ] )
% 120.52/120.91  , clause( 183244, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 120.52/120.91    , T, X ) ) ), =( Y, Z ) ] )
% 120.52/120.91  , clause( 183245, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ), =( Y, Z ) ] )
% 120.52/120.91  , clause( 183246, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91     ) ), =( Y, Z ) ] )
% 120.52/120.91  , clause( 183247, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 120.52/120.91    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, 
% 120.52/120.91    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 120.52/120.91  , clause( 183248, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183249, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183250, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 120.52/120.91    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183251, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 120.52/120.91    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91  , clause( 183252, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.52/120.91    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_n'
% 120.52/120.91    , 'tc_Complex_Ocomplex' ), 'v_k', 'tc_Complex_Ocomplex' ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.52/120.91     ), 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.52/120.91    'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ), 
% 120.52/120.91    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.52/120.91     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ) ) ] )
% 120.52/120.91  , clause( 183253, [ 
% 120.52/120.91    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183254, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 120.52/120.91    'tc_nat' ) ] )
% 120.52/120.91  , clause( 183255, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.91    'tc_nat' ) ] )
% 120.52/120.91  , clause( 183256, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183257, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183258, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183259, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183260, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183261, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183262, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183263, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183264, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183265, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183266, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183267, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183268, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183269, [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183270, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183271, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183272, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183273, [ 'class_Power_Opower'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183274, [ 'class_Int_Onumber'( 'tc_nat' ) ] )
% 120.52/120.91  , clause( 183275, [ 
% 120.52/120.91    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_Int_Oint'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183276, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183277, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183278, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183279, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183280, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183281, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183282, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183283, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183284, [ 'class_OrderedGroup_Olordered__ab__group__add'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183285, [ 'class_OrderedGroup_Oordered__ab__group__add'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183286, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183287, [ 'class_Ring__and__Field_Opordered__ring__abs'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183288, [ 'class_Ring__and__Field_Oordered__semiring'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183289, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183290, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183291, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183292, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 120.52/120.91    'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183293, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183294, [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183295, [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183296, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183297, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183298, [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183299, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183300, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183301, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183302, [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183303, [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183304, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183305, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183306, [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183307, [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183308, [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183309, [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183310, [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183311, [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183312, [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183313, [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183314, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183315, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183316, [ 'class_Power_Opower'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183317, [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ] )
% 120.52/120.91  , clause( 183318, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183319, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183320, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183321, [ 'class_Ring__and__Field_Odivision__by__zero'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183322, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183323, [ 'class_RealVector_Oreal__normed__algebra'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183324, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183325, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183326, [ 'class_Ring__and__Field_Odivision__ring'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183327, [ 'class_RealVector_Oreal__normed__field'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183328, [ 'class_Ring__and__Field_Ozero__neq__one'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183329, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183330, [ 'class_Ring__and__Field_Osemiring__0'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183331, [ 'class_OrderedGroup_Oab__group__add'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183332, [ 'class_Ring__and__Field_Omult__zero'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183333, [ 'class_OrderedGroup_Omonoid__mult'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183334, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183335, [ 'class_Ring__and__Field_Oring__1'( 
% 120.52/120.91    'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183336, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 120.52/120.91     ) ] )
% 120.52/120.91  , clause( 183337, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183338, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183339, [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' )
% 120.52/120.91     ] )
% 120.52/120.91  , clause( 183340, [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ]
% 120.52/120.91     )
% 120.52/120.91  , clause( 183341, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183342, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91  , clause( 183343, [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.93  , clause( 183344, [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.93  ] ).
% 120.56/120.93  
% 120.56/120.93  
% 120.56/120.93  
% 120.56/120.93  subsumption(
% 120.56/120.93  clause( 10, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.56/120.93    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.56/120.93    , Z, X ), X ) ] )
% 120.56/120.93  , clause( 182589, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.56/120.93    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.56/120.93    , Z, X ), X ) ] )
% 120.56/120.93  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 120.56/120.93    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 120.56/120.93  
% 120.56/120.93  
% 120.56/120.93  subsumption(
% 120.56/120.93  clause( 180, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y
% 120.56/120.93    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 120.56/120.93    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.56/120.93    , X ) ) ] )
% 120.56/120.93  , clause( 182792, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.56/120.93    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 120.56/120.93    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.56/120.93    , X ) ) ] )
% 120.56/120.93  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.93     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 120.56/120.93  
% 120.56/120.93  
% 120.56/120.93  eqswap(
% 120.56/120.93  clause( 184017, [ =( 'c_HOL_Otimes__class_Otimes'( X, 
% 120.56/120.93    'c_HOL_Oinverse__class_Oinverse'( Y, Z ), Z ), 
% 120.56/120.93    'c_HOL_Oinverse__class_Odivide'( X, Y, Z ) ), ~( 
% 120.56/120.93    'class_Ring__and__Field_Ofield'( Z ) ) ] )
% 120.56/120.93  , clause( 183107, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.56/120.93    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 120.56/120.93    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 120.56/120.93  , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 120.56/120.93  
% 120.56/120.93  
% 120.56/120.93  subsumption(
% 120.56/120.93  clause( 438, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.56/120.93    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X )
% 120.56/120.93    , X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 120.56/120.93  , clause( 184017, [ =( 'c_HOL_Otimes__class_Otimes'( X, 
% 120.56/120.93    'c_HOL_Oinverse__class_Oinverse'( Y, Z ), Z ), 
% 120.56/120.93    'c_HOL_Oinverse__class_Odivide'( X, Y, Z ) ), ~( 
% 120.56/120.93    'class_Ring__and__Field_Ofield'( Z ) ) ] )
% 120.56/120.93  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 120.56/120.93    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 120.56/120.93  
% 120.56/120.93  
% 120.56/120.93  subsumption(
% 120.56/120.93  clause( 530, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 120.56/120.93    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 120.56/120.93    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.56/120.93  , clause( 183222, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 120.56/120.93    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 120.56/120.93    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.56/120.93  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.93     ), ==>( 1, 1 )] ) ).
% 120.56/120.93  
% 120.56/120.93  
% 120.56/120.93  subsumption(
% 120.56/120.93  clause( 537, [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 
% 120.56/120.93    X ), X, 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.56/120.93    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.93  , clause( 183230, [ =( 'c_Power_Opower__class_Opower'( 
% 120.56/120.93    'c_FFT__Mirabelle_Oroot'( X ), X, 'tc_Complex_Ocomplex' ), 
% 120.56/120.93    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.93  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.93  
% 120.56/120.93  
% 120.56/120.93  subsumption(
% 120.56/120.93  clause( 541, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.56/120.93    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.56/120.93     ) ] )
% 120.56/120.93  , clause( 183235, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.56/120.93    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.56/120.93     ) ] )
% 120.56/120.93  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.93     ), ==>( 1, 1 )] ) ).
% 120.56/120.93  
% 120.56/120.93  
% 120.56/120.93  paramod(
% 120.56/120.93  clause( 187420, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.93    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.56/120.93    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k', 
% 120.56/120.93    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.93     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'( 
% 120.56/120.93    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.93    , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.56/120.93    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.93    , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.93  , clause( 537, [ =( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_FFT__Mirabelle_Oroot'( X ), X, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , 0, clause( 183252, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_n'
% 120.56/120.94    , 'tc_Complex_Ocomplex' ), 'v_k', 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , 0, 5, substitution( 0, [ :=( X, 'v_n' )] ), substitution( 1, [] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 551, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k', 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'( 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94    , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94    , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , clause( 187420, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k', 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'( 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94    , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94    , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 621, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , clause( 183322, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 632, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' )
% 120.56/120.94     ] )
% 120.56/120.94  , clause( 183333, [ 'class_OrderedGroup_Omonoid__mult'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 633, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ]
% 120.56/120.94     )
% 120.56/120.94  , clause( 183334, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ) ] )
% 120.56/120.94  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 635, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ]
% 120.56/120.94     )
% 120.56/120.94  , clause( 183336, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ) ] )
% 120.56/120.94  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  resolution(
% 120.56/120.94  clause( 190274, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , clause( 10, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 120.56/120.94    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.56/120.94    , Z, X ), X ) ] )
% 120.56/120.94  , 0, clause( 621, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , 0, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' ), :=( Y, X ), :=( Z, 
% 120.56/120.94    Y )] ), substitution( 1, [] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 835, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , clause( 190274, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.94     )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  eqswap(
% 120.56/120.94  clause( 190275, [ =( 'c_HOL_Ozero__class_Ozero'( Y ), 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( X, X, Y ) ), ~( 
% 120.56/120.94    'class_OrderedGroup_Ogroup__add'( Y ) ) ] )
% 120.56/120.94  , clause( 541, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.56/120.94     ) ] )
% 120.56/120.94  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  resolution(
% 120.56/120.94  clause( 190276, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( X, X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , clause( 190275, [ =( 'c_HOL_Ozero__class_Ozero'( Y ), 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( X, X, Y ) ), ~( 
% 120.56/120.94    'class_OrderedGroup_Ogroup__add'( Y ) ) ] )
% 120.56/120.94  , 1, clause( 633, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ) ] )
% 120.56/120.94  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'tc_Complex_Ocomplex' )] ), 
% 120.56/120.94    substitution( 1, [] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  eqswap(
% 120.56/120.94  clause( 190277, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , clause( 190276, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 120.56/120.94    , 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , 0, substitution( 0, [ :=( X, X )] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 1663, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , clause( 190277, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  paramod(
% 120.56/120.94  clause( 190279, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ), ~( 'class_Ring__and__Field_Ofield'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , clause( 438, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 120.56/120.94    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X )
% 120.56/120.94    , X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 120.56/120.94  , 1, clause( 835, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , 0, 2, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' ), :=( Y, X ), :=( 
% 120.56/120.94    Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, 
% 120.56/120.94    'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_Complex_Ocomplex' ) )] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  resolution(
% 120.56/120.94  clause( 190280, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , clause( 190279, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ), ~( 'class_Ring__and__Field_Ofield'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , 1, clause( 635, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ) ] )
% 120.56/120.94  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 120.56/120.94    ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 124399, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , clause( 190280, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.94     )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  eqswap(
% 120.56/120.94  clause( 190281, [ =( 'c_HOL_Ozero__class_Ozero'( Y ), X ), ~( 
% 120.56/120.94    'class_Ring__and__Field_Ocomm__semiring__1'( Y ) ), ~( 
% 120.56/120.94    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( Y ), X
% 120.56/120.94    , Y ) ) ] )
% 120.56/120.94  , clause( 180, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 120.56/120.94    Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 120.56/120.94    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.56/120.94    , X ) ) ] )
% 120.56/120.94  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  resolution(
% 120.56/120.94  clause( 190282, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ), ~( 
% 120.56/120.94    'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ) ]
% 120.56/120.94     )
% 120.56/120.94  , clause( 190281, [ =( 'c_HOL_Ozero__class_Ozero'( Y ), X ), ~( 
% 120.56/120.94    'class_Ring__and__Field_Ocomm__semiring__1'( Y ) ), ~( 
% 120.56/120.94    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( Y ), X
% 120.56/120.94    , Y ) ) ] )
% 120.56/120.94  , 2, clause( 124399, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 120.56/120.94    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , 0, substitution( 0, [ :=( X, 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ), :=( Y, 'tc_Complex_Ocomplex' )] ), 
% 120.56/120.94    substitution( 1, [ :=( X, 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ), :=( Y, X )] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  resolution(
% 120.56/120.94  clause( 190283, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , clause( 190282, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 120.56/120.94    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ), ~( 
% 120.56/120.94    'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ) ]
% 120.56/120.94     )
% 120.56/120.94  , 1, clause( 621, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  eqswap(
% 120.56/120.94  clause( 190284, [ =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , clause( 190283, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 120.56/120.94    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , 0, substitution( 0, [ :=( X, X )] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 124422, [ =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , clause( 190284, [ =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  eqswap(
% 120.56/120.94  clause( 190285, [ =( 'c_HOL_Oone__class_Oone'( X ), 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 
% 120.56/120.94    ~( 'class_OrderedGroup_Omonoid__mult'( X ) ) ] )
% 120.56/120.94  , clause( 530, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.56/120.94  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  resolution(
% 120.56/120.94  clause( 190286, [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , clause( 190285, [ =( 'c_HOL_Oone__class_Oone'( X ), 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 
% 120.56/120.94    ~( 'class_OrderedGroup_Omonoid__mult'( X ) ) ] )
% 120.56/120.94  , 1, clause( 632, [ 'class_OrderedGroup_Omonoid__mult'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94  , 0, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' ), :=( Y, X )] ), 
% 120.56/120.94    substitution( 1, [] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  eqswap(
% 120.56/120.94  clause( 190287, [ =( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ) ) ] )
% 120.56/120.94  , clause( 190286, [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , 0, substitution( 0, [ :=( X, X )] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 171844, [ =( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ) ) ] )
% 120.56/120.94  , clause( 190287, [ =( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ) ) ] )
% 120.56/120.94  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  paramod(
% 120.56/120.94  clause( 190292, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'( 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94    , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94    , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , clause( 171844, [ =( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ) ) ] )
% 120.56/120.94  , 0, clause( 551, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k', 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'( 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94    , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94    , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , 0, 4, substitution( 0, [ :=( X, 'v_k' )] ), substitution( 1, [] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  paramod(
% 120.56/120.94  clause( 190293, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , clause( 1663, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , 0, clause( 190292, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'( 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94    , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94    , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , 0, 3, substitution( 0, [ :=( X, 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) )] ), substitution( 1, [] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  paramod(
% 120.56/120.94  clause( 190294, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 120.56/120.94    , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , clause( 124422, [ =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X, 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94  , 0, clause( 190293, [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 
% 120.56/120.94    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'( 
% 120.56/120.94    'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ), 
% 120.56/120.94    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , 0, 2, substitution( 0, [ :=( X, 'c_HOL_Ominus__class_Ominus'( 
% 120.56/120.94    'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94    , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 
% 120.56/120.94    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) )] ), substitution( 1, [] )
% 120.56/120.94    ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  eqrefl(
% 120.56/120.94  clause( 190295, [] )
% 120.56/120.94  , clause( 190294, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 120.56/120.94     ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94  , 0, substitution( 0, [] )).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  subsumption(
% 120.56/120.94  clause( 182577, [] )
% 120.56/120.94  , clause( 190295, [] )
% 120.56/120.94  , substitution( 0, [] ), permutation( 0, [] ) ).
% 120.56/120.94  
% 120.56/120.94  
% 120.56/120.94  end.
% 120.56/120.94  
% 120.56/120.94  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 120.59/120.95  
% 120.59/120.95  Memory use:
% 120.59/120.95  
% 120.59/120.95  space for terms:        6013488
% 120.59/120.95  space for clauses:      7594022
% 120.59/120.95  
% 120.59/120.95  
% 120.59/120.95  clauses generated:      1331689
% 120.59/120.95  clauses kept:           182578
% 120.59/120.95  clauses selected:       2184
% 120.59/120.95  clauses deleted:        24622
% 120.59/120.95  clauses inuse deleted:  611
% 120.59/120.95  
% 120.59/120.95  subsentry:          7309296
% 120.59/120.95  literals s-matched: 4515942
% 120.59/120.95  literals matched:   4077479
% 120.59/120.95  full subsumption:   2598616
% 120.59/120.95  
% 120.59/120.95  checksum:           -839686983
% 120.59/120.95  
% 120.59/120.95  
% 120.59/120.95  Bliksem ended
%------------------------------------------------------------------------------