%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : ALG415-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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 : Thu Jul 14 12:10:50 EDT 2022

% Result   : Timeout 300.06s 300.53s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : ALG415-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit : 300
% 0.17/0.33  % DateTime : Thu Jun  9 04:59:04 EDT 2022
% 0.17/0.33  % CPUTime  : 
% 0.93/1.35  *** allocated 10000 integers for termspace/termends
% 0.93/1.35  *** allocated 10000 integers for clauses
% 0.93/1.35  *** allocated 10000 integers for justifications
% 0.93/1.35  *** allocated 15000 integers for termspace/termends
% 0.93/1.35  *** allocated 22500 integers for termspace/termends
% 0.93/1.35  Bliksem 1.12
% 0.93/1.35  
% 0.93/1.35  
% 0.93/1.35  Automatic Strategy Selection
% 0.93/1.35  
% 0.93/1.35  Clauses:
% 0.93/1.35  [
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.35    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'( 
% 0.93/1.35    'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ), 
% 0.93/1.35    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.93/1.35    , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~( 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.93/1.35    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~( 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.35     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.93/1.35    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.35     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.93/1.35    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.93/1.35    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.35     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.35     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.35    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.35    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.35    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.93/1.35     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.93/1.35    'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.35     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.93/1.35    'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.35     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.93/1.35    'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.35     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.93/1.35    'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.93/1.35    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.93/1.35    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.93/1.35    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.93/1.35    X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.93/1.35    Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.93/1.35    Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 0.93/1.35    X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.93/1.35     ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.35    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35     ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.35    , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35     ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.35     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.35    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.35     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.35    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.35     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 0.93/1.35    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.35     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.35    , Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.93/1.35    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.93/1.35    , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.93/1.35    , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.35     ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.93/1.35     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.35    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 0.93/1.35    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.93/1.35     ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.93/1.35     ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.93/1.35    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.93/1.35     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.93/1.35    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.93/1.35    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( T, U, X ), X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~( 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~( 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.93/1.35    , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.93/1.35    , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.35    , Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.35    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.93/1.35    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.35    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.35    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.35    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.35    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.35     ), =( Z, Y ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.35    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.93/1.35    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.35     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.93/1.35    , Y, 'tc_nat' ) ) ],
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.35    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.35    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.35    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.35     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.35    , Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.35    , X ) ) ), =( Y, Z ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.35    , X ) ) ), =( Y, Z ) ],
% 0.93/1.35     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.93/1.35    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.35     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.35     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.35    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.93/1.35    Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.35     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.93/1.35     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.93/1.35    Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.93/1.35    , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.93/1.35     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'( 
% 0.93/1.35    Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.93/1.35    X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.93/1.35    X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.93/1.35    T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.93/1.35    X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.93/1.35    T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.93/1.35    X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.35    T, X ), X ) ) ],
% 0.93/1.35     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.93/1.35    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.93/1.35    X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.93/1.35    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.93/1.35    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 0.93/1.35    T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 
% 0.93/1.35    Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.35    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ), 
% 0.93/1.35    Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.93/1.35     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.35     ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.35    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, 
% 0.93/1.35    Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 0.93/1.35    T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.35    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'( 
% 0.93/1.35    X ) ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.35    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.93/1.35     ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.35     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.35     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.93/1.35    Y, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.93/1.35    , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.93/1.35    , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.93/1.35    , X ), X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.35    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.93/1.35    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.93/1.35    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.93/1.35    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.93/1.35    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    Y, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.93/1.35    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.93/1.35    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.35    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.93/1.35    'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.93/1.35     ],
% 0.93/1.35     [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.35     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.35     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.93/1.35    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.93/1.35    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.93/1.35    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.35    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    Y, T, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.35    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    Y, T, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.93/1.35    , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.35    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 0.93/1.35    Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.35     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.93/1.35    , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.93/1.35    , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.35    , X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.93/1.35    , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.93/1.35     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.35    , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.35    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'( 
% 0.93/1.35    'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    Z, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.93/1.35    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.93/1.35    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.93/1.35    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.35     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.35     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.35     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.35    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 0.93/1.35    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.35    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.35    , T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.35    , T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.93/1.35    , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.93/1.35    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.35    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.93/1.35     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.93/1.35     ), 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 0.93/1.35    W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.35    , X ), W, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 0.93/1.35    W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.93/1.35    , X ), T, X ), W, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 0.93/1.35    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.93/1.35    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.35    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.93/1.35     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.35    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.93/1.35     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'( 
% 0.93/1.35    Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.93/1.35    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.35    , X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.93/1.35    , X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.93/1.35    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.35     ],
% 0.93/1.35     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.93/1.35    , X, 'tc_nat' ), X ) ],
% 0.93/1.35     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.93/1.35     ), 'tc_nat' ), X ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.35    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.35    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 0.93/1.35    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 0.93/1.35    Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.35    , T, X ), X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.35     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.93/1.35    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.35     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.35    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.93/1.35    X ) ) ), =( Z, T ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.93/1.35    X ) ) ), =( Z, T ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.93/1.35    X ) ) ), =( Y, T ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.93/1.35    , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.93/1.35    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.93/1.35     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.93/1.35     ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.93/1.35    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.93/1.35    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.93/1.35    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.93/1.35     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.35     ), 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.35     ), 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.93/1.35     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.35    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.93/1.35    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.93/1.35    X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.93/1.35    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.93/1.35    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U, 
% 0.93/1.35    X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.35    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.35    , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.35     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.35     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.93/1.35    , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 0.93/1.35    W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 0.93/1.35    W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.35    , X ), W, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.93/1.35    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.93/1.35    , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.93/1.35     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.93/1.35    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.93/1.35    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.35     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.35    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.35    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 0.93/1.35    X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.93/1.35     ), X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ), 
% 0.93/1.35    'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ), 
% 0.93/1.35    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 0.93/1.35    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.93/1.35     ), Y ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.93/1.35     ), X ), Y ) ],
% 0.93/1.35     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.35    'tc_nat' ) ],
% 0.93/1.35     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.93/1.35    'tc_nat' ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.93/1.35    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.35    , Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.35    , Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.35    , T, X ), X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.35    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.93/1.35     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.93/1.35     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.93/1.35    , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.35    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.35    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.93/1.35    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.35    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.35    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.35    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.35    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.93/1.35    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.35     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.35     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.35     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 0.93/1.35    'tc_nat' ) ) ],
% 0.93/1.35     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 0.93/1.35    'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.35    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.35    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.93/1.35     ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.35    , T, X ) ) ), =( Z, T ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.35    , T, X ) ) ), =( Y, Z ) ],
% 0.93/1.35     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.35    'tc_nat' ) ), =( Y, Z ) ],
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.35    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.93/1.35    , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.35    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.35    , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.35    , T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.93/1.35     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ), T, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.35     ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.35     ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.93/1.35    'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.93/1.35     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.93/1.35    'tc_nat' ) ) ],
% 0.93/1.35     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.35     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    Y, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.35    , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( 
% 0.93/1.35    Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.93/1.35    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.35    , Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.93/1.35     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.93/1.35     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.93/1.35     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.35     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.93/1.35     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.35    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.93/1.35     ],
% 0.93/1.35     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.35    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.93/1.35     ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.93/1.35    'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.93/1.35    'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ), =( Y, Z ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ), =( Y, Z ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.35    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.93/1.35    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.93/1.35    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.93/1.35    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.93/1.35    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 0.93/1.35    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.93/1.35    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.93/1.35     ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.93/1.35    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.93/1.35    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.35     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.35    'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.93/1.35    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.93/1.35    , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z, 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.35    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.35    , T, X ), X ), T, X ) ) ],
% 0.93/1.35     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.93/1.35     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.93/1.35     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.93/1.35     ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.93/1.35     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 0.93/1.35    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.93/1.35    , Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.93/1.35    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , Z, X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.93/1.35    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , Z, X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.93/1.35    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.93/1.35     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 0.93/1.35    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.93/1.35     ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.35    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , T, X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.35    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35    , T, X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.93/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.35    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.93/1.35    Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.35    'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.35    , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 
% 0.93/1.35    W, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.93/1.35     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.93/1.35    , X ), T, X ), W, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.93/1.35    , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.93/1.35     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), 
% 0.93/1.35    W, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.93/1.35     ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.35    , X ), W, X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.93/1.35    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.93/1.35     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ), 
% 0.93/1.35    Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.35     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.35     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.35    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.35    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.35    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.35    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.35     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.93/1.35    Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.35    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.93/1.35    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 0.93/1.35    'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.93/1.35    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.93/1.35    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T, 
% 0.93/1.35    X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.93/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.35    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.35    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.35    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.93/1.35    ,
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.35    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.35     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.35     ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( 
% 0.93/1.35    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.93/1.35     ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.93/1.35     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.93/1.35     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.35    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.93/1.35    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), 
% 0.93/1.35    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.93/1.35    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.35    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.35    X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.35    , Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.35    , X ) ) ],
% 0.93/1.35     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.35    , Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.35    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.93/1.35    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.35    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.36    X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.93/1.36    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.36    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T, 
% 0.93/1.36    X ), Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.36     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.93/1.36    'tc_nat' ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.36     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.93/1.36    'tc_nat' ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.36     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 0.93/1.36    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.36     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.93/1.36    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.36    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.93/1.36    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.36    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.93/1.36    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.36    , U, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.36    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.36    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.36    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.36    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.36    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.93/1.36    , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.93/1.36    X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.93/1.36     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.93/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.93/1.36     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.93/1.36    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.36    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.36    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 0.93/1.36    'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~( 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.36    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.36    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.36    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 
% 0.93/1.36    'tc_nat' ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.93/1.36    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.36    Y, T, X ), Z, X ) ) ],
% 0.93/1.36     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.93/1.36    , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.93/1.36    , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.93/1.36    , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.36     ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.36    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.36    X ), T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.36    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.93/1.36    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.93/1.36    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.36    'tc_nat' ) ) ],
% 0.93/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.93/1.36    , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.93/1.36    'tc_nat' ) ) ],
% 0.93/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.93/1.36    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.93/1.36    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.93/1.36    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.93/1.36    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.93/1.36    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.36    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.93/1.36    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.93/1.36    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.36    'tc_nat' ) ) ],
% 0.93/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.93/1.36    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.93/1.36    ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.93/1.36    'tc_nat' ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.93/1.36    X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 0.93/1.36    'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ), 
% 0.93/1.36    'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.93/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.93/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.93/1.36    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.36     ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.93/1.36     ), Y ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.93/1.36    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.93/1.36    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.93/1.36    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.93/1.36    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.36     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.93/1.36    , Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.36     ), Y ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.36     ), Y ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.36     ), Y ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.93/1.36    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.93/1.36     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.36    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.36    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.36    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.36    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 0.93/1.36    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 0.93/1.36    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.93/1.36    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.93/1.36    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.93/1.36    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.36     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.36     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.93/1.36    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.93/1.36     ), Y, X ) ), =( Z, T ) ],
% 0.93/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.93/1.36    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.36    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.93/1.36    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 0.93/1.36    X ), X ) ) ],
% 0.93/1.36     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.93/1.36    , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.93/1.36     ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.36    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.93/1.36    Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( 
% 0.93/1.36    Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.93/1.36     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.36     ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 0.93/1.36    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 0.93/1.36    X ), T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 0.93/1.36    X ), T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.93/1.36    X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.36     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 0.93/1.36    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 0.93/1.36    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.93/1.36    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 0.93/1.36    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.36    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.93/1.36    X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.36    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Z, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Z, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.36    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 0.93/1.36    X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.36    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.36     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.93/1.36     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.93/1.36     ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.36     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.36    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.36    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 0.93/1.36    'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.93/1.36    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.36     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.36     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.93/1.36    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_Polynomial_Odegree'( 'c_Power_Opower__class_Opower'( Y, Z, 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.36    'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' ), 'tc_nat' ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.93/1.36    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.93/1.36    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.36    , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.36     ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.93/1.36    , X ), X ), Y ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.36    , Y, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.36    , T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.36    , T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.36    , Y, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.36    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 0.93/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.93/1.36    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.36     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.36    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.93/1.36    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.93/1.36     ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.93/1.36    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.93/1.36     ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 0.93/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 0.93/1.36    Y, X ), X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y, 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.93/1.36     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X, 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.93/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.93/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.93/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 'c_lessequals'( 
% 0.93/1.36    'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( Y, Z, X ), X ), 
% 0.93/1.36    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.36    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.36    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.93/1.36    'c_lessequals'( Z, Y, X ) ],
% 0.93/1.36     [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.36    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.36    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 0.93/1.36    'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.93/1.36    , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.93/1.36    , U, X ), T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.36    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.93/1.36     [ ~( =( 'v_n', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.93/1.36    , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.93/1.36    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 0.93/1.36    X ) ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.93/1.36    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 0.93/1.36    X ) ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.93/1.36     ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.93/1.36     ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.93/1.36    , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~( 
% 0.93/1.36    'c_lessequals'( Z, U, 'tc_nat' ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.93/1.36     ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.93/1.36     ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.36    Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.93/1.36    Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.36    , X ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.93/1.36    T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y, 
% 0.93/1.36    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.93/1.36    X ), Y ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.93/1.36    X ), Y ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.93/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.93/1.36    Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    Y, Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.93/1.36    , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 0.93/1.36    T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 0.93/1.36    Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.93/1.36     [ ~( =( 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( 
% 0.93/1.36    'c_Polynomial_Opoly'( 'v_q', X, 'tc_Complex_Ocomplex' ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.93/1.36    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y, 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.93/1.36    , X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.36    , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.36    , X ), Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 0.93/1.36    Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 0.93/1.36    Z, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.93/1.36    , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.93/1.36    , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.93/1.36    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.36     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.93/1.36    Y, X ), Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.93/1.36    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.93/1.36    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.93/1.36    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.93/1.36    , X ), Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.93/1.36    , X ), Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.36    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.36    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 0.93/1.36    X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 0.93/1.36    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.93/1.36    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.93/1.36     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.93/1.36     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    Z, T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.36    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.93/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.93/1.36     ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.36    , T, X ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.36    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.36    , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.93/1.36    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.36    , Y, X ), X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.36    , Z, X ), X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.36    , Z, X ), X ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, 
% 0.93/1.36    X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.93/1.36     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36     ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.36    'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.93/1.36    , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.93/1.36    Z, T, 'tc_nat' ), X ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.93/1.36    'c_Polynomial_Opoly'( 'c_Power_Opower__class_Opower'( Y, Z, 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_Power_Opower__class_Opower'( 
% 0.93/1.36    'c_Polynomial_Opoly'( Y, T, X ), Z, X ) ) ],
% 0.93/1.36     [ =( 'c_Polynomial_Odegree'( 'v_p', 'tc_Complex_Ocomplex' ), 'v_n' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.93/1.36    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.93/1.36    , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.93/1.36    , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 0.93/1.36    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.93/1.36     [ ~( =( 'v_n', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.36     [ =( 'c_Polynomial_Odegree'( 'v_p', 'tc_Complex_Ocomplex' ), 'v_n' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ ~( =( 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( 
% 0.93/1.36    'c_Polynomial_Opoly'( 'v_q', X, 'tc_Complex_Ocomplex' ), 
% 0.93/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.36     [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 
% 0.93/1.36    'c_Power_Opower__class_Opower'( 'v_q', 'v_n', 'tc_Polynomial_Opoly'( 
% 0.93/1.36    'tc_Complex_Ocomplex' ) ), 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' )
% 0.93/1.36     ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'( 
% 0.93/1.36    X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.93/1.36     ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.93/1.36     ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.93/1.36     ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.93/1.36     ],
% 0.93/1.36     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 0.93/1.36    'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 0.93/1.36    'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 0.93/1.36    'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.93/1.36     ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.93/1.36     ],
% 0.93/1.36     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.93/1.36     ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 0.93/1.36    X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 0.93/1.36    X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 0.93/1.36    X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 0.93/1.36    X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 0.93/1.36    X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 0.93/1.36    X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 0.93/1.36    X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 0.93/1.36    X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.93/1.36    ,
% 0.93/1.36     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 0.93/1.36    'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'( 
% 0.93/1.36    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'( 
% 0.93/1.36    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'( 
% 0.93/1.36    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.93/1.36     ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.93/1.36     ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'( 
% 0.93/1.36    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.93/1.36     ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.93/1.36     ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.93/1.36     ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.93/1.36     ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.93/1.36     ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.93/1.36     ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.36    , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ), 
% 0.93/1.36    ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ), 
% 0.93/1.36    ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ), 
% 0.93/1.36    ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ), 
% 0.93/1.36    ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ), 
% 0.93/1.36    ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ), 
% 0.93/1.36    ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.93/1.36     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.93/1.36     [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.36     [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.93/1.36     [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.36     [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.93/1.36     [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.93/1.36    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ]
% 0.93/1.36  ] .
% 0.93/1.36  
% 0.93/1.36  
% 0.93/1.36  percentage equality = 0.182660, percentage horn = 0.844371
% 0.93/1.36  This is a problem with some equality
% 0.93/1.36  
% 0.93/1.36  
% 0.93/1.36  
% 0.93/1.36  Options Used:
% 0.93/1.36  
% 0.93/1.36  useres =            1
% 0.93/1.36  useparamod =        1
% 0.93/1.36  useeqrefl =         1
% 0.93/1.36  useeqfact =         1
% 0.93/1.36  usefactor =         1
% 0.93/1.36  usesimpsplitting =  0
% 0.93/1.36  usesimpdemod =      5
% 0.93/1.36  usesimpres =        3
% 0.93/1.36  
% 0.93/1.36  resimpinuse      =  1000
% 0.93/1.36  resimpclauses =     20000
% 0.93/1.36  substype =          eqrewr
% 0.93/1.36  backwardsubs =      1
% 0.93/1.36  selectoldest =      5
% 0.93/1.36  
% 0.93/1.36  litorderings [0] =  split
% 0.93/1.36  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.93/1.36  
% 0.93/1.36  termordering =      kbo
% 0.93/1.36  
% 0.93/1.36  litapriori =        0
% 0.93/1.36  termapriori =       1
% 0.93/1.36  litaposteriori =    0
% 0.93/1.36  termaposteriori =   0
% 0.93/1.36  demodaposteriori =  0
% 0.93/1.36  ordereqreflfact =   0
% 0.93/1.36  
% 0.93/1.36  litselect =         negord
% 0.93/1.36  
% 0.93/1.36  maxweight =         15
% 0.93/1.36  maxdepth =          30000
% 0.93/1.36  maxlength =         115
% 0.93/1.36  maxnrvars =         195
% 0.93/1.36  excuselevel =       1
% 0.93/1.36  increasemaxweight = 1
% 0.93/1.36  
% 0.93/1.36  maxselected =       10000000
% 0.93/1.36  maxnrclauses =      10000000
% 0.93/1.36  
% 0.93/1.36  showgenerated =    0
% 0.93/1.36  showkept =         0
% 0.93/1.36  showselected =     0
% 0.93/1.36  showdeleted =      0
% 0.93/1.36  showresimp =       1
% 0.93/1.36  showstatus =       2000
% 0.93/1.36  
% 0.93/1.36  prologoutput =     1
% 0.93/1.36  nrgoals =          5000000
% 0.93/1.36  totalproof =       1
% 0.93/1.36  
% 0.93/1.36  Symbols occurring in the translation:
% 0.93/1.36  
% 0.93/1.36  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.93/1.36  .  [1, 2]      (w:1, o:123, a:1, s:1, b:0), 
% 0.93/1.36  !  [4, 1]      (w:0, o:49, a:1, s:1, b:0), 
% 0.93/1.36  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.93/1.36  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.93/1.36  'class_OrderedGroup_Opordered__ab__group__add'  [40, 1]      (w:1, o:55, a:
% 1.57/1.92    1, s:1, b:0), 
% 1.57/1.92  'c_HOL_Ominus__class_Ominus'  [43, 3]      (w:1, o:152, a:1, s:1, b:0), 
% 1.57/1.92  'c_lessequals'  [46, 3]      (w:1, o:153, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Oidom'  [47, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 1.57/1.92  'c_Polynomial_Osmult'  [50, 3]      (w:1, o:154, a:1, s:1, b:0), 
% 1.57/1.92  'c_Polynomial_Odegree'  [51, 2]      (w:1, o:148, a:1, s:1, b:0), 
% 1.57/1.92  'c_HOL_Ozero__class_Ozero'  [52, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 1.57/1.92  'class_Divides_Osemiring__div'  [53, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 1.57/1.92  'c_Divides_Odiv__class_Omod'  [56, 3]      (w:1, o:155, a:1, s:1, b:0), 
% 1.57/1.92  'c_HOL_Oplus__class_Oplus'  [57, 3]      (w:1, o:157, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Odvd'  [58, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Ocomm__ring'  [59, 1]      (w:1, o:60, a:1, s:1, b:
% 1.57/1.92    0), 
% 1.57/1.92  'c_HOL_Otimes__class_Otimes'  [63, 3]      (w:1, o:158, a:1, s:1, b:0), 
% 1.57/1.92  'c_Ring__and__Field_Odvd__class_Odvd'  [65, 3]      (w:1, o:159, a:1, s:1
% 1.57/1.92    , b:0), 
% 1.57/1.92  'c_Divides_Odiv__class_Odiv'  [66, 3]      (w:1, o:160, a:1, s:1, b:0), 
% 1.57/1.92  'class_Orderings_Oorder'  [67, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 1.57/1.92  'c_HOL_Oord__class_Oless'  [68, 3]      (w:1, o:156, a:1, s:1, b:0), 
% 1.57/1.92  'tc_nat'  [71, 0]      (w:1, o:32, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Odivision__by__zero'  [72, 1]      (w:1, o:67, a:1
% 1.57/1.92    , s:1, b:0), 
% 1.57/1.92  'c_HOL_Oinverse__class_Oinverse'  [73, 2]      (w:1, o:149, a:1, s:1, b:0)
% 1.57/1.92    , 
% 1.57/1.92  'class_Ring__and__Field_Odivision__ring'  [74, 1]      (w:1, o:68, a:1, s:1
% 1.57/1.92    , b:0), 
% 1.57/1.92  'class_Ring__and__Field_Oordered__semiring__strict'  [77, 1]      (w:1, o:
% 1.57/1.92    73, a:1, s:1, b:0), 
% 1.57/1.92  'class_OrderedGroup_Oab__semigroup__idem__mult'  [78, 1]      (w:1, o:74
% 1.57/1.92    , a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Oordered__field'  [79, 1]      (w:1, o:75, a:1, s:1
% 1.57/1.92    , b:0), 
% 1.57/1.92  'c_HOL_Oinverse__class_Odivide'  [80, 3]      (w:1, o:161, a:1, s:1, b:0), 
% 1.57/1.92    
% 1.57/1.92  'c_HOL_Oone__class_Oone'  [82, 1]      (w:1, o:76, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Oordered__ring__strict'  [83, 1]      (w:1, o:72
% 1.57/1.92    , a:1, s:1, b:0), 
% 1.57/1.92  'class_Int_Onumber__ring'  [84, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Opordered__ring'  [86, 1]      (w:1, o:82, a:1, s:1
% 1.57/1.92    , b:0), 
% 1.57/1.92  'class_Ring__and__Field_Omult__mono'  [87, 1]      (w:1, o:83, a:1, s:1, b:
% 1.57/1.92    0), 
% 1.57/1.92  'class_Ring__and__Field_Omult__mono1'  [88, 1]      (w:1, o:84, a:1, s:1
% 1.57/1.92    , b:0), 
% 1.57/1.92  'class_Ring__and__Field_Ofield'  [89, 1]      (w:1, o:85, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Oordered__semidom'  [90, 1]      (w:1, o:78, a:1
% 1.57/1.92    , s:1, b:0), 
% 1.57/1.92  'c_Power_Opower__class_Opower'  [91, 3]      (w:1, o:162, a:1, s:1, b:0), 
% 1.57/1.92  'class_RealVector_Oreal__normed__field'  [92, 1]      (w:1, o:86, a:1, s:1
% 1.57/1.92    , b:0), 
% 1.57/1.92  'c_HOL_Ouminus__class_Ouminus'  [94, 2]      (w:1, o:150, a:1, s:1, b:0), 
% 1.57/1.92  'class_OrderedGroup_Ogroup__add'  [95, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 1.57/1.92    
% 1.57/1.92  'class_OrderedGroup_Opordered__ab__group__add__abs'  [96, 1]      (w:1, o:
% 1.57/1.92    88, a:1, s:1, b:0), 
% 1.57/1.92  'c_HOL_Oabs__class_Oabs'  [97, 2]      (w:1, o:151, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Oordered__idom'  [98, 1]      (w:1, o:79, a:1, s:1
% 1.57/1.92    , b:0), 
% 1.57/1.92  'class_Ring__and__Field_Osemiring__0'  [99, 1]      (w:1, o:93, a:1, s:1
% 1.57/1.92    , b:0), 
% 1.57/1.92  'class_Power_Opower'  [100, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Ozero__neq__one'  [101, 1]      (w:1, o:113, a:1
% 1.57/1.92    , s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Ono__zero__divisors'  [102, 1]      (w:1, o:71, a:1
% 1.57/1.92    , s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Omult__zero'  [103, 1]      (w:1, o:70, a:1, s:1
% 1.57/1.92    , b:0), 
% 1.57/1.92  'class_Ring__and__Field_Ocomm__semiring__1'  [104, 1]      (w:1, o:63, a:1
% 1.57/1.92    , s:1, b:0), 
% 1.57/1.92  'class_OrderedGroup_Olordered__ab__group__add'  [106, 1]      (w:1, o:94
% 1.57/1.92    , a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Oring'  [107, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 1.57/1.92  'class_Ring__and__Field_Opordered__ring__abs'  [108, 1]      (w:1, o:114
% 1.57/1.92    , a:1, s:1, b:0), 
% 1.57/1.92  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [109, 1]      
% 1.57/1.92    (w:1, o:95, a:1, s:1, b:0), 
% 1.57/1.92  'class_OrderedGroup_Opordered__ab__semigroup__add'  [110, 1]      (w:1, o:
% 1.57/1.92    96, a:1, s:1, b:0), 
% 1.57/1.92  'class_Orderings_Olinorder'  [111, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 9.58/10.01  'class_Lattices_Oboolean__algebra'  [112, 1]      (w:1, o:115, a:1, s:1, b:
% 9.58/10.01    0), 
% 9.58/10.01  'class_Ring__and__Field_Opordered__cancel__semiring'  [113, 1]      (w:1
% 9.58/10.01    , o:116, a:1, s:1, b:0), 
% 9.58/10.01  'class_Divides_Oring__div'  [114, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Oab__semigroup__mult'  [115, 1]      (w:1, o:98, a:1
% 9.58/10.01    , s:1, b:0), 
% 9.58/10.01  'class_RealVector_Oreal__normed__algebra'  [120, 1]      (w:1, o:117, a:1
% 9.58/10.01    , s:1, b:0), 
% 9.58/10.01  'class_Ring__and__Field_Ocomm__semiring'  [125, 1]      (w:1, o:64, a:1, s:
% 9.58/10.01    1, b:0), 
% 9.58/10.01  'tc_Polynomial_Opoly'  [127, 1]      (w:1, o:118, a:1, s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Oordered__ab__group__add'  [128, 1]      (w:1, o:54, a:
% 9.58/10.01    1, s:1, b:0), 
% 9.58/10.01  'class_Ring__and__Field_Opordered__semiring'  [130, 1]      (w:1, o:119, a:
% 9.58/10.01    1, s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Olordered__ab__group__add__abs'  [131, 1]      (w:1, o:
% 9.58/10.01    99, a:1, s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Opordered__comm__monoid__add'  [132, 1]      (w:1, o:
% 9.58/10.01    100, a:1, s:1, b:0), 
% 9.58/10.01  'class_Ring__and__Field_Oring__no__zero__divisors'  [133, 1]      (w:1, o:
% 9.58/10.01    90, a:1, s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Oab__group__add'  [134, 1]      (w:1, o:101, a:1, s:1
% 9.58/10.01    , b:0), 
% 9.58/10.01  'class_Ring__and__Field_Oabs__if'  [135, 1]      (w:1, o:120, a:1, s:1, b:0
% 9.58/10.01    ), 
% 9.58/10.01  'class_Ring__and__Field_Oordered__semiring'  [136, 1]      (w:1, o:80, a:1
% 9.58/10.01    , s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Ocomm__monoid__add'  [138, 1]      (w:1, o:102, a:1, s:
% 9.58/10.01    1, b:0), 
% 9.58/10.01  'class_Ring__and__Field_Olordered__ring'  [139, 1]      (w:1, o:69, a:1, s:
% 9.58/10.01    1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Omonoid__mult'  [140, 1]      (w:1, o:103, a:1, s:1, b:
% 9.58/10.01    0), 
% 9.58/10.01  'class_OrderedGroup_Ocomm__monoid__mult'  [141, 1]      (w:1, o:104, a:1
% 9.58/10.01    , s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [142, 1]      (w:1, o:105
% 9.58/10.01    , a:1, s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Ocancel__semigroup__add'  [143, 1]      (w:1, o:106, a:
% 9.58/10.01    1, s:1, b:0), 
% 9.58/10.01  'class_RealVector_Oreal__field'  [146, 1]      (w:1, o:121, a:1, s:1, b:0)
% 9.58/10.01    , 
% 9.58/10.01  'c_Polynomial_Opoly__gcd'  [147, 3]      (w:1, o:163, a:1, s:1, b:0), 
% 9.58/10.01  'class_Orderings_Opreorder'  [148, 1]      (w:1, o:107, a:1, s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Oab__semigroup__add'  [149, 1]      (w:1, o:108, a:1
% 9.58/10.01    , s:1, b:0), 
% 9.58/10.01  'class_Ring__and__Field_Osemiring'  [150, 1]      (w:1, o:122, a:1, s:1, b:
% 9.58/10.01    0), 
% 9.58/10.01  'class_Ring__and__Field_Oring__1'  [151, 1]      (w:1, o:91, a:1, s:1, b:0)
% 9.58/10.01    , 
% 9.58/10.01  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [152, 1]      
% 9.58/10.01    (w:1, o:109, a:1, s:1, b:0), 
% 9.58/10.01  'class_Ring__and__Field_Ocomm__semiring__0'  [153, 1]      (w:1, o:62, a:1
% 9.58/10.01    , s:1, b:0), 
% 9.58/10.01  'c_Polynomial_Opoly'  [154, 3]      (w:1, o:164, a:1, s:1, b:0), 
% 9.58/10.01  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [155, 1]      
% 9.58/10.01    (w:1, o:81, a:1, s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Omonoid__add'  [156, 1]      (w:1, o:110, a:1, s:1, b:0
% 9.58/10.01    ), 
% 9.58/10.01  'v_n'  [157, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 9.58/10.01  'v_p'  [158, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 9.58/10.01  'tc_Complex_Ocomplex'  [159, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 9.58/10.01  'v_q'  [160, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 9.58/10.01  'class_Ring__and__Field_Ocomm__ring__1'  [161, 1]      (w:1, o:61, a:1, s:1
% 9.58/10.01    , b:0), 
% 9.58/10.01  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [162, 1]      (w:1
% 9.58/10.01    , o:92, a:1, s:1, b:0), 
% 9.58/10.01  'class_OrderedGroup_Ocancel__comm__monoid__add'  [164, 1]      (w:1, o:111
% 9.58/10.01    , a:1, s:1, b:0).
% 9.58/10.01  
% 9.58/10.01  
% 9.58/10.01  Starting Search:
% 9.58/10.01  
% 9.58/10.01  Resimplifying inuse:
% 9.58/10.01  Done
% 9.58/10.01  
% 9.58/10.01  
% 9.58/10.01  Intermediate Status:
% 9.58/10.01  Generated:    5962
% 9.58/10.01  Kept:         2003
% 9.58/10.01  Inuse:        82
% 9.58/10.01  Deleted:      0
% 9.58/10.01  Deletedinuse: 0
% 9.58/10.01  
% 9.58/10.01  Resimplifying inuse:
% 9.58/10.01  Done
% 9.58/10.01  
% 9.58/10.01  Resimplifying inuse:
% 9.58/10.01  Done
% 9.58/10.01  
% 9.58/10.01  
% 9.58/10.01  Intermediate Status:
% 9.58/10.01  Generated:    15050
% 9.58/10.01  Kept:         4278
% 9.58/10.01  Inuse:        161
% 9.58/10.01  Deleted:      0
% 9.58/10.01  Deletedinuse: 0
% 9.58/10.01  
% 9.58/10.01  Resimplifying inuse:
% 9.58/10.01  Done
% 9.58/10.01  
% 9.58/10.01  Resimplifying inuse:
% 9.58/10.01  Done
% 9.58/10.01  
% 9.58/10.01  
% 9.58/10.01  Intermediate Status:
% 9.58/10.01  Generated:    24948
% 9.58/10.01  Kept:         6362
% 9.58/10.01  Inuse:        219
% 9.58/10.01  Deleted:      2
% 9.58/10.01  Deletedinuse: 0
% 9.58/10.01  
% 9.58/10.01  Resimplifying inuse:
% 9.58/10.01  Done
% 9.58/10.01  
% 9.58/10.01  Resimplifying inuse:
% 9.58/10.01  Done
% 9.58/10.01  
% 9.58/10.01  
% 9.58/10.01  Intermediate Status:
% 9.58/10.01  Generated:    34257
% 9.58/10.01  Kept:         8717
% 9.58/10.01  Inuse:        289
% 9.58/10.01  Deleted:      2
% 9.58/10.01  Deletedinuse: 0
% 9.58/10.01  
% 9.58/10.01  Resimplifying inuse:
% 9.58/10.01  Done
% 9.58/10.01  
% 9.58/10.01  Resimplifying inuse:
% 9.58/10.01  Done
% 9.58/10.01  
% 9.58/10.01  
% 9.58/10.01  Intermediate Status:
% 9.58/10.01  Generated:    44356
% 9.58/10.01  Kept:         10722
% 9.58/10.01  Inuse:        385
% 31.63/32.07  Deleted:      3
% 31.63/32.07  Deletedinuse: 0
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    55790
% 31.63/32.07  Kept:         12967
% 31.63/32.07  Inuse:        443
% 31.63/32.07  Deleted:      3
% 31.63/32.07  Deletedinuse: 0
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    68083
% 31.63/32.07  Kept:         15372
% 31.63/32.07  Inuse:        458
% 31.63/32.07  Deleted:      3
% 31.63/32.07  Deletedinuse: 0
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    78369
% 31.63/32.07  Kept:         17843
% 31.63/32.07  Inuse:        473
% 31.63/32.07  Deleted:      3
% 31.63/32.07  Deletedinuse: 0
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    85371
% 31.63/32.07  Kept:         20475
% 31.63/32.07  Inuse:        483
% 31.63/32.07  Deleted:      3
% 31.63/32.07  Deletedinuse: 0
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying clauses:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    103622
% 31.63/32.07  Kept:         23522
% 31.63/32.07  Inuse:        533
% 31.63/32.07  Deleted:      165
% 31.63/32.07  Deletedinuse: 0
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    121196
% 31.63/32.07  Kept:         25619
% 31.63/32.07  Inuse:        613
% 31.63/32.07  Deleted:      165
% 31.63/32.07  Deletedinuse: 0
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    134771
% 31.63/32.07  Kept:         27720
% 31.63/32.07  Inuse:        633
% 31.63/32.07  Deleted:      165
% 31.63/32.07  Deletedinuse: 0
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    147876
% 31.63/32.07  Kept:         29789
% 31.63/32.07  Inuse:        655
% 31.63/32.07  Deleted:      189
% 31.63/32.07  Deletedinuse: 1
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    160400
% 31.63/32.07  Kept:         32294
% 31.63/32.07  Inuse:        661
% 31.63/32.07  Deleted:      212
% 31.63/32.07  Deletedinuse: 5
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    177946
% 31.63/32.07  Kept:         34404
% 31.63/32.07  Inuse:        664
% 31.63/32.07  Deleted:      224
% 31.63/32.07  Deletedinuse: 5
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    190254
% 31.63/32.07  Kept:         37114
% 31.63/32.07  Inuse:        673
% 31.63/32.07  Deleted:      255
% 31.63/32.07  Deletedinuse: 5
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    204781
% 31.63/32.07  Kept:         39459
% 31.63/32.07  Inuse:        679
% 31.63/32.07  Deleted:      279
% 31.63/32.07  Deletedinuse: 5
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying clauses:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    216231
% 31.63/32.07  Kept:         41607
% 31.63/32.07  Inuse:        704
% 31.63/32.07  Deleted:      681
% 31.63/32.07  Deletedinuse: 8
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    222129
% 31.63/32.07  Kept:         43797
% 31.63/32.07  Inuse:        713
% 31.63/32.07  Deleted:      681
% 31.63/32.07  Deletedinuse: 8
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    238104
% 31.63/32.07  Kept:         45928
% 31.63/32.07  Inuse:        758
% 31.63/32.07  Deleted:      681
% 31.63/32.07  Deletedinuse: 8
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    261476
% 31.63/32.07  Kept:         48518
% 31.63/32.07  Inuse:        768
% 31.63/32.07  Deleted:      681
% 31.63/32.07  Deletedinuse: 8
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    272245
% 31.63/32.07  Kept:         50664
% 31.63/32.07  Inuse:        788
% 31.63/32.07  Deleted:      681
% 31.63/32.07  Deletedinuse: 8
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    283785
% 31.63/32.07  Kept:         52674
% 31.63/32.07  Inuse:        809
% 31.63/32.07  Deleted:      681
% 31.63/32.07  Deletedinuse: 8
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    297673
% 31.63/32.07  Kept:         54688
% 31.63/32.07  Inuse:        822
% 31.63/32.07  Deleted:      681
% 31.63/32.07  Deletedinuse: 8
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    310849
% 31.63/32.07  Kept:         56921
% 31.63/32.07  Inuse:        855
% 31.63/32.07  Deleted:      686
% 31.63/32.07  Deletedinuse: 10
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    324136
% 31.63/32.07  Kept:         58965
% 31.63/32.07  Inuse:        890
% 31.63/32.07  Deleted:      686
% 31.63/32.07  Deletedinuse: 10
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    353022
% 31.63/32.07  Kept:         61895
% 31.63/32.07  Inuse:        920
% 31.63/32.07  Deleted:      686
% 31.63/32.07  Deletedinuse: 10
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying clauses:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    388434
% 31.63/32.07  Kept:         65375
% 31.63/32.07  Inuse:        930
% 31.63/32.07  Deleted:      1034
% 31.63/32.07  Deletedinuse: 10
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    403968
% 31.63/32.07  Kept:         67608
% 31.63/32.07  Inuse:        946
% 31.63/32.07  Deleted:      1034
% 31.63/32.07  Deletedinuse: 10
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  Resimplifying inuse:
% 31.63/32.07  Done
% 31.63/32.07  
% 31.63/32.07  
% 31.63/32.07  Intermediate Status:
% 31.63/32.07  Generated:    419962
% 31.63/32.07  Kept:         69947
% 76.60/76.98  Inuse:        958
% 76.60/76.98  Deleted:      1046
% 76.60/76.98  Deletedinuse: 20
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    432141
% 76.60/76.98  Kept:         72095
% 76.60/76.98  Inuse:        993
% 76.60/76.98  Deleted:      1050
% 76.60/76.98  Deletedinuse: 24
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    453287
% 76.60/76.98  Kept:         74514
% 76.60/76.98  Inuse:        1003
% 76.60/76.98  Deleted:      1072
% 76.60/76.98  Deletedinuse: 46
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    460956
% 76.60/76.98  Kept:         76514
% 76.60/76.98  Inuse:        1027
% 76.60/76.98  Deleted:      1080
% 76.60/76.98  Deletedinuse: 54
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    472340
% 76.60/76.98  Kept:         79665
% 76.60/76.98  Inuse:        1048
% 76.60/76.98  Deleted:      1092
% 76.60/76.98  Deletedinuse: 66
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    479457
% 76.60/76.98  Kept:         81850
% 76.60/76.98  Inuse:        1073
% 76.60/76.98  Deleted:      1108
% 76.60/76.98  Deletedinuse: 82
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying clauses:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    484902
% 76.60/76.98  Kept:         83858
% 76.60/76.98  Inuse:        1089
% 76.60/76.98  Deleted:      2597
% 76.60/76.98  Deletedinuse: 96
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    495664
% 76.60/76.98  Kept:         86170
% 76.60/76.98  Inuse:        1118
% 76.60/76.98  Deleted:      2609
% 76.60/76.98  Deletedinuse: 108
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    505660
% 76.60/76.98  Kept:         88370
% 76.60/76.98  Inuse:        1148
% 76.60/76.98  Deleted:      2628
% 76.60/76.98  Deletedinuse: 127
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    515556
% 76.60/76.98  Kept:         90427
% 76.60/76.98  Inuse:        1178
% 76.60/76.98  Deleted:      2642
% 76.60/76.98  Deletedinuse: 141
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    529619
% 76.60/76.98  Kept:         93284
% 76.60/76.98  Inuse:        1207
% 76.60/76.98  Deleted:      2666
% 76.60/76.98  Deletedinuse: 164
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    561413
% 76.60/76.98  Kept:         95750
% 76.60/76.98  Inuse:        1217
% 76.60/76.98  Deleted:      2666
% 76.60/76.98  Deletedinuse: 164
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    576250
% 76.60/76.98  Kept:         98018
% 76.60/76.98  Inuse:        1252
% 76.60/76.98  Deleted:      2666
% 76.60/76.98  Deletedinuse: 164
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    601461
% 76.60/76.98  Kept:         100572
% 76.60/76.98  Inuse:        1280
% 76.60/76.98  Deleted:      2668
% 76.60/76.98  Deletedinuse: 164
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    620260
% 76.60/76.98  Kept:         102885
% 76.60/76.98  Inuse:        1282
% 76.60/76.98  Deleted:      2678
% 76.60/76.98  Deletedinuse: 166
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying clauses:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    639110
% 76.60/76.98  Kept:         105081
% 76.60/76.98  Inuse:        1299
% 76.60/76.98  Deleted:      4332
% 76.60/76.98  Deletedinuse: 167
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    647599
% 76.60/76.98  Kept:         107368
% 76.60/76.98  Inuse:        1308
% 76.60/76.98  Deleted:      4333
% 76.60/76.98  Deletedinuse: 167
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    672900
% 76.60/76.98  Kept:         109785
% 76.60/76.98  Inuse:        1313
% 76.60/76.98  Deleted:      4333
% 76.60/76.98  Deletedinuse: 167
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    690621
% 76.60/76.98  Kept:         112329
% 76.60/76.98  Inuse:        1338
% 76.60/76.98  Deleted:      4333
% 76.60/76.98  Deletedinuse: 167
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    702417
% 76.60/76.98  Kept:         114562
% 76.60/76.98  Inuse:        1358
% 76.60/76.98  Deleted:      4333
% 76.60/76.98  Deletedinuse: 167
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    719387
% 76.60/76.98  Kept:         116924
% 76.60/76.98  Inuse:        1378
% 76.60/76.98  Deleted:      4333
% 76.60/76.98  Deletedinuse: 167
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    740503
% 76.60/76.98  Kept:         119645
% 76.60/76.98  Inuse:        1388
% 76.60/76.98  Deleted:      4333
% 76.60/76.98  Deletedinuse: 167
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    761231
% 76.60/76.98  Kept:         122039
% 76.60/76.98  Inuse:        1408
% 76.60/76.98  Deleted:      4333
% 76.60/76.98  Deletedinuse: 167
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying clauses:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 76.60/76.98  Generated:    776385
% 76.60/76.98  Kept:         124045
% 76.60/76.98  Inuse:        1428
% 76.60/76.98  Deleted:      4695
% 76.60/76.98  Deletedinuse: 167
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  Resimplifying inuse:
% 76.60/76.98  Done
% 76.60/76.98  
% 76.60/76.98  
% 76.60/76.98  Intermediate Status:
% 183.38/183.82  Generated:    787246
% 183.38/183.82  Kept:         126061
% 183.38/183.82  Inuse:        1453
% 183.38/183.82  Deleted:      4716
% 183.38/183.82  Deletedinuse: 188
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    805850
% 183.38/183.82  Kept:         129590
% 183.38/183.82  Inuse:        1478
% 183.38/183.82  Deleted:      4725
% 183.38/183.82  Deletedinuse: 197
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    815888
% 183.38/183.82  Kept:         131808
% 183.38/183.82  Inuse:        1498
% 183.38/183.82  Deleted:      4734
% 183.38/183.82  Deletedinuse: 206
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    825688
% 183.38/183.82  Kept:         133917
% 183.38/183.82  Inuse:        1523
% 183.38/183.82  Deleted:      4761
% 183.38/183.82  Deletedinuse: 233
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    846970
% 183.38/183.82  Kept:         137235
% 183.38/183.82  Inuse:        1553
% 183.38/183.82  Deleted:      4764
% 183.38/183.82  Deletedinuse: 236
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    856238
% 183.38/183.82  Kept:         139247
% 183.38/183.82  Inuse:        1559
% 183.38/183.82  Deleted:      4786
% 183.38/183.82  Deletedinuse: 258
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    872216
% 183.38/183.82  Kept:         141801
% 183.38/183.82  Inuse:        1583
% 183.38/183.82  Deleted:      4795
% 183.38/183.82  Deletedinuse: 267
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying clauses:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    887404
% 183.38/183.82  Kept:         143808
% 183.38/183.82  Inuse:        1602
% 183.38/183.82  Deleted:      6965
% 183.38/183.82  Deletedinuse: 291
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    907539
% 183.38/183.82  Kept:         146997
% 183.38/183.82  Inuse:        1624
% 183.38/183.82  Deleted:      6994
% 183.38/183.82  Deletedinuse: 320
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    927429
% 183.38/183.82  Kept:         149058
% 183.38/183.82  Inuse:        1663
% 183.38/183.82  Deleted:      6994
% 183.38/183.82  Deletedinuse: 320
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    943577
% 183.38/183.82  Kept:         151284
% 183.38/183.82  Inuse:        1678
% 183.38/183.82  Deleted:      6995
% 183.38/183.82  Deletedinuse: 321
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    959190
% 183.38/183.82  Kept:         153290
% 183.38/183.82  Inuse:        1715
% 183.38/183.82  Deleted:      6996
% 183.38/183.82  Deletedinuse: 322
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    978036
% 183.38/183.82  Kept:         156846
% 183.38/183.82  Inuse:        1743
% 183.38/183.82  Deleted:      7000
% 183.38/183.82  Deletedinuse: 326
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    989496
% 183.38/183.82  Kept:         159076
% 183.38/183.82  Inuse:        1763
% 183.38/183.82  Deleted:      7002
% 183.38/183.82  Deletedinuse: 328
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    998295
% 183.38/183.82  Kept:         162506
% 183.38/183.82  Inuse:        1768
% 183.38/183.82  Deleted:      7002
% 183.38/183.82  Deletedinuse: 328
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1007267
% 183.38/183.82  Kept:         165965
% 183.38/183.82  Inuse:        1773
% 183.38/183.82  Deleted:      7002
% 183.38/183.82  Deletedinuse: 328
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying clauses:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1023663
% 183.38/183.82  Kept:         169868
% 183.38/183.82  Inuse:        1788
% 183.38/183.82  Deleted:      12704
% 183.38/183.82  Deletedinuse: 328
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1045426
% 183.38/183.82  Kept:         172289
% 183.38/183.82  Inuse:        1803
% 183.38/183.82  Deleted:      12704
% 183.38/183.82  Deletedinuse: 328
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1065954
% 183.38/183.82  Kept:         175040
% 183.38/183.82  Inuse:        1818
% 183.38/183.82  Deleted:      12704
% 183.38/183.82  Deletedinuse: 328
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1079885
% 183.38/183.82  Kept:         177133
% 183.38/183.82  Inuse:        1833
% 183.38/183.82  Deleted:      12704
% 183.38/183.82  Deletedinuse: 328
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1094698
% 183.38/183.82  Kept:         179142
% 183.38/183.82  Inuse:        1849
% 183.38/183.82  Deleted:      12704
% 183.38/183.82  Deletedinuse: 328
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1125341
% 183.38/183.82  Kept:         181536
% 183.38/183.82  Inuse:        1883
% 183.38/183.82  Deleted:      12704
% 183.38/183.82  Deletedinuse: 328
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1150277
% 183.38/183.82  Kept:         184307
% 183.38/183.82  Inuse:        1918
% 183.38/183.82  Deleted:      12708
% 183.38/183.82  Deletedinuse: 332
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1164623
% 183.38/183.82  Kept:         188866
% 183.38/183.82  Inuse:        1923
% 183.38/183.82  Deleted:      12711
% 183.38/183.82  Deletedinuse: 335
% 183.38/183.82  
% 183.38/183.82  Resimplifying inuse:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  Resimplifying clauses:
% 183.38/183.82  Done
% 183.38/183.82  
% 183.38/183.82  
% 183.38/183.82  Intermediate Status:
% 183.38/183.82  Generated:    1179673
% 183.38/183.82  Kept:         191654
% 183.38/183.82  Inuse:        1928
% 183.38/183.82  Deleted:      13959Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------