%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : ALG375-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n022.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 12:10:35 EDT 2022

% Result   : Timeout 300.01s 300.52s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : ALG375-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Tue Jun  7 22:57:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.00/1.36  *** allocated 10000 integers for termspace/termends
% 1.00/1.36  *** allocated 10000 integers for clauses
% 1.00/1.36  *** allocated 10000 integers for justifications
% 1.00/1.36  *** allocated 15000 integers for termspace/termends
% 1.00/1.36  *** allocated 22500 integers for termspace/termends
% 1.00/1.36  *** allocated 33750 integers for termspace/termends
% 1.00/1.36  Bliksem 1.12
% 1.00/1.36  
% 1.00/1.36  
% 1.00/1.36  Automatic Strategy Selection
% 1.00/1.36  
% 1.00/1.36  Clauses:
% 1.00/1.36  [
% 1.00/1.36     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.36    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.36    'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.00/1.36    'c_lessequals'( Z, Y, X ) ],
% 1.00/1.36     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.36    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.36    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.36    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.36     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    X, 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.36     ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.00/1.36    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.00/1.36    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 1.00/1.36    'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.00/1.36     [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.36    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.36    'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ), 
% 1.00/1.36    'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ), 
% 1.00/1.36    'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U, 
% 1.00/1.36    X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.00/1.36     ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.36    Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.36    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( 
% 1.00/1.36    X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.00/1.36    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y, 
% 1.00/1.36    X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.00/1.36    X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.00/1.36    , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.00/1.36     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.00/1.36     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.36    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.36    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =( 
% 1.00/1.36    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.00/1.36     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.36    Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.00/1.36    X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.00/1.36    X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.00/1.36    X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.00/1.36    W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.36    , X ), W, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.00/1.36    W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ), 
% 1.00/1.36    'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ), 
% 1.00/1.36    'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.36     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.36    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.36    , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.00/1.36    X ) ) ), =( Y, T ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.00/1.36    X ) ) ), =( Z, T ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.00/1.36    X ) ) ), =( Z, T ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.36    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 1.00/1.36    X ), X ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.36     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.36     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.36    X ), T, X ) ) ],
% 1.00/1.36     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.36    T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.36    X ), T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.00/1.36    T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.00/1.36    X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.00/1.36    T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.36    Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.36    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.36     ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36    , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.36     ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.36     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.36     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.36     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    X ), T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36    , T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36    , T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.00/1.36    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.36    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.36    , X ), X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.36    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.36     ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.36    , X ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.36    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36    , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.36    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.36    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.36    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.36     ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.36    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.36     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.36    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 1.00/1.36    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.36    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.36    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.36     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.36    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.36    , X ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.36    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.36    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.36    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.36    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.36    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.36     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.36    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.36     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.36     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.36     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.36     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.36     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.36     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.36     ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.36     ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.36     ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.36     ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.36     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.36     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.36    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.36    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.00/1.36    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.00/1.36    X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.00/1.36    X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.36     ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.00/1.36    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.36    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.36    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.36    'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( 
% 1.00/1.36    Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36    , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi', 
% 1.00/1.36    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.00/1.36    'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( 
% 1.00/1.36    Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi', 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.36     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.36     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.36    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.36    'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.00/1.36     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.36    Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.00/1.36    W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.36    , X ), W, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.00/1.36    W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.36    , X ), T, X ), W, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.00/1.36     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.36     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.36    'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Oln'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.36     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.36    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.00/1.36     ],
% 1.00/1.36     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.36    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.36    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.36    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.36    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.36    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36    , Y, X ) ) ],
% 1.00/1.36     [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36    , Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.36    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.36    Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.00/1.36    , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.36    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.36    'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.36    , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.36    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.00/1.36    X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.00/1.36    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.36    , T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.36    , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.36    Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.36     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    X ), X ) ) ],
% 1.00/1.36     [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'( 
% 1.00/1.36    X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36     ],
% 1.00/1.36     [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36     ],
% 1.00/1.36     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.36    'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.36    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.36     ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.36     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.00/1.36    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.36     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.36    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.36    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.36     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.00/1.36    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.36     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.36    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.36    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.00/1.36    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.00/1.36     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.00/1.36     ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.36    Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ), 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.36    , T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.00/1.36     ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.00/1.36    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.36     ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.36    Y, X ), X ) ],
% 1.00/1.36     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 1.00/1.36    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.00/1.36    X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.36    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.36    Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36     ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 
% 1.00/1.36    'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1'( X, Y, 
% 1.00/1.36    Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36     ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.36    , 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.36     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X, 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ), 
% 1.00/1.36    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36     ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), 
% 1.00/1.36    'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36     ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), 
% 1.00/1.36    'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36     ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36     ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36     ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.00/1.36    X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.00/1.36     ), X ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.00/1.36    , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.36    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.00/1.36     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( 
% 1.00/1.36    Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36     ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36     ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.36     ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.36     ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.36     [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.36     ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.36     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.36    , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.00/1.36     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36     ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.36     ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.36     ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.36    'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X, 
% 1.00/1.36    'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.00/1.36     ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.36    Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 1.00/1.36     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.36    , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_Transcendental_Ocos'( 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.36    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.36    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.36    'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.36    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.36    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36     [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.36    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.36    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.36     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.36    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.36    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.36     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.36     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 1.00/1.36    X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.36    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.00/1.36    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.36    Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.36     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.36    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.36    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36     ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.36     ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.36    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36    , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.36    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36    , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36    , T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36    , T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36    , T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Z, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.00/1.36     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.36    X ), T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.36     ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.36    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y, 
% 1.00/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.36     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.36     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.36     ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.00/1.36    , X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.00/1.36    X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Z, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Z, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.00/1.36    X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.36    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.36    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.36     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.36    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.36     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.00/1.36    , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.36     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.36     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.00/1.36    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.36     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.36     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 1.00/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.36    ,
% 1.00/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.36     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.36    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.37    , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.37    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.37    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.37     ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.37    , X ), W, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.00/1.37    , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.00/1.37     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), 
% 1.00/1.37    W, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.37     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.37    , X ), T, X ), W, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.37    , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.00/1.37     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 
% 1.00/1.37    W, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.00/1.37    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.00/1.37     ), Y ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.37    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.37    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.37    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.37    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.37    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.00/1.37    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.37    Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.37    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.00/1.37    X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.37    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.00/1.37    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ), T, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.37    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.37    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.37    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.00/1.37    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.37    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.00/1.37    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.37    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    Y, T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.37    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    Y, T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.37     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.37    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.37     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.00/1.37    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.37    , Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.00/1.37    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , Z, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.37    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.00/1.37    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , Z, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.37    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.00/1.37     ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 1.00/1.37    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.00/1.37     ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.37    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , T, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.37    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , T, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.37    Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.37    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.37    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.37     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.37     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.37    X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.37    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.37    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.00/1.37    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.00/1.37    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.37    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.00/1.37    , X ), Y ) ],
% 1.00/1.37     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.00/1.37    , X ), Y ) ],
% 1.00/1.37     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.37    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37     ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.37    , Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.37    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.37     ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.00/1.37     ), X ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.37    'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.37    'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.37    'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.37     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.37    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.37    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.37    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.37    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.37     ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.37     ), X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.37     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.37     ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.37    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.37    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.37     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.37     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.37     ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.37    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.37     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.37    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.37     ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.37    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.37     ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.37    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.00/1.37    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.37    , U, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.37     ), Y ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37    , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.00/1.37     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.00/1.37     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.37     [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.37     ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.37     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.37     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.00/1.37    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.00/1.37    X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    Y, Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    Y, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.00/1.37    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.37    X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.00/1.37    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.37    X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.00/1.37    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.37    X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.00/1.37    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.37    X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.37    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.00/1.37    X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.37    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37    , Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.37    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.37    , X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.00/1.37    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.00/1.37    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.37    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.00/1.37    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.37    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    Y, T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.37    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.37    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.37    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.37    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi', 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y
% 1.00/1.37     ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.37    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.37    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.37    'c_Transcendental_Osin'( X ) ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.37    'c_Transcendental_Ocos'( X ) ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.37    'c_Transcendental_Otan'( X ) ) ],
% 1.00/1.37     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~( 
% 1.00/1.37    'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.00/1.37    , 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( 
% 1.00/1.37    Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.00/1.37    , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.00/1.37     ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U, 
% 1.00/1.37    X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.00/1.37     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.00/1.37    , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.00/1.37    , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.37    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.00/1.37    , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi', 
% 1.00/1.37    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.00/1.37    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.37    'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.37    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.00/1.37    , X ), Z, X ) ) ],
% 1.00/1.37     [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.37     ],
% 1.00/1.37     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.00/1.37    , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.37    , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.00/1.37     ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.37    X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.00/1.37    , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.00/1.37    , X ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.00/1.37     [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'( 
% 1.00/1.37    X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.37    'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.37    'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 1.00/1.37     ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 1.00/1.37    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 
% 1.00/1.37    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.37    , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.00/1.37    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.37    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.37    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.37    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.00/1.37     ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), T, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.37    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.37     ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.37     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.00/1.37    ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi', 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi', 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ =( 'c_Transcendental_Oln'( 'c_HOL_Oinverse__class_Odivide'( X, Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.00/1.37     [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.37     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Opoly'( X, Y, 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( X, Z, 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 1.00/1.37    , T, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1'( T, X, 
% 1.00/1.37    Z ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X, 
% 1.00/1.37    'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.37    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'v_thesis____', 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'v_sko__local__Xthat__1'( X, 'v_p', 'v_s____', 'v_z____' ), 'v_z____', 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'v_thesis____', 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'v_sko__local__Xthat__1'( X, 'v_p', 
% 1.00/1.37    'v_s____', 'v_z____' ), 'v_z____', 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'v_thesis____', ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'c_Polynomial_Opoly'( 'v_p', 'v_sko__local__Xthat__1'( X, 'v_p', 
% 1.00/1.37    'v_s____', 'v_z____' ), 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 
% 1.00/1.37    'v_p', 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p', 'v_z____'
% 1.00/1.37    , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.00/1.37    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.37    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.37    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.37     ), Y ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.37     ), Y ) ],
% 1.00/1.37     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.00/1.37     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.00/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.00/1.37    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37    , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.37     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.37     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.00/1.37    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.37    , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.37     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.00/1.37    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.37    , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37    , Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37    , Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ) ],
% 1.00/1.37     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.37    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.37    , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.00/1.37    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.00/1.37    X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.00/1.37    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.37     ],
% 1.00/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber__ring'( X ) ), =( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.37    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.00/1.37    , X ), X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.37     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.37    Y, X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.37     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.00/1.37     ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.00/1.37    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.37     ), =( Z, Y ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.00/1.37     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.37    , X ) ) ), =( Y, Z ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.37    , X ) ) ), =( Y, Z ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.37    Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.37    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p', 'v_z____'
% 1.00/1.37    , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37     ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.37     ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.37     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    Z, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.37    , X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.00/1.37    , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.00/1.37     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.37    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.37    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.37    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37    , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.37    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.37    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.37    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.00/1.37    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37     ) ],
% 1.00/1.37     [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.37     ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.37    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.00/1.37    , X ), X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.37     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.37    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.37     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37     ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.00/1.37     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.37    , T, X ) ) ), =( Z, T ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37    , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.37     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.37     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.37    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.37    Y, Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37     ) ), =( Y, Z ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37     ) ), =( Y, Z ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.37    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.37    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.37    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.00/1.37    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.00/1.37    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.37    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.00/1.37     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.00/1.37     ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    Z, Y, X ), X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37     ), Y ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37     ) ) ],
% 1.00/1.37     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37     ), Y ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37     ), Y ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.37    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.00/1.37    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.37    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.37    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37    , X ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Opoly'( 'v_p', X, 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_p', 'v_z____', 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 1.00/1.37    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( X, 
% 1.00/1.37    'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'v_sko__CHAINED__1'( 'v_p', 'v_s____', 'v_z____' ), 'tc_RealDef_Oreal' )
% 1.00/1.37     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( X, 'v_z____', 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'v_sko__CHAINED__1'( 'v_p', 'v_s____', 'v_z____' )
% 1.00/1.37    , 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ ~( 'v_thesis____' ) ],
% 1.00/1.37     [ 'v_thesis____', 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'v_d'( X ), 'v_z____', 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.37    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37     [ 'v_thesis____', 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( 'v_d'( X
% 1.00/1.37     ), 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), X, 
% 1.00/1.37    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'v_thesis____', ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( 
% 1.00/1.37    'c_Polynomial_Opoly'( 'v_p', 'v_d'( X ), 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( 
% 1.00/1.37    'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.00/1.37    'c_Polynomial_Opoly'( 'v_p', 'v_z____', 'tc_Complex_Ocomplex' ), 
% 1.00/1.37    'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( 'v_s____', 
% 1.00/1.37    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.37    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.37    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.37    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.00/1.37    'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.00/1.37    'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.00/1.37    'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.00/1.37     ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 
% 1.00/1.37    'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.00/1.37     ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.00/1.37     ],
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.00/1.37    'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.00/1.37    'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.00/1.37     ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.00/1.37     ],
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.00/1.37     ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.00/1.37     ],
% 1.00/1.37     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.00/1.37     ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37    ,
% 1.00/1.37     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.37     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.37  ] .
% 1.00/1.37  
% 1.00/1.37  
% 1.00/1.37  percentage equality = 0.163469, percentage horn = 0.852442
% 1.00/1.37  This is a problem with some equality
% 1.00/1.37  
% 1.00/1.37  
% 1.00/1.37  
% 1.00/1.37  Options Used:
% 1.00/1.37  
% 1.00/1.37  useres =            1
% 1.00/1.37  useparamod =        1
% 1.00/1.37  useeqrefl =         1
% 1.00/1.37  useeqfact =         1
% 1.00/1.37  usefactor =         1
% 1.00/1.37  usesimpsplitting =  0
% 1.00/1.37  usesimpdemod =      5
% 1.00/1.37  usesimpres =        3
% 1.00/1.37  
% 1.00/1.37  resimpinuse      =  1000
% 1.00/1.37  resimpclauses =     20000
% 1.00/1.37  substype =          eqrewr
% 1.00/1.37  backwardsubs =      1
% 1.00/1.37  selectoldest =      5
% 1.00/1.37  
% 1.00/1.37  litorderings [0] =  split
% 1.00/1.37  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.00/1.37  
% 1.00/1.37  termordering =      kbo
% 1.00/1.37  
% 1.00/1.37  litapriori =        0
% 1.00/1.37  termapriori =       1
% 1.00/1.37  litaposteriori =    0
% 1.00/1.37  termaposteriori =   0
% 1.00/1.37  demodaposteriori =  0
% 1.00/1.37  ordereqreflfact =   0
% 1.00/1.37  
% 1.00/1.37  litselect =         negord
% 1.00/1.37  
% 1.00/1.37  maxweight =         15
% 1.00/1.37  maxdepth =          30000
% 1.00/1.37  maxlength =         115
% 1.00/1.37  maxnrvars =         195
% 1.00/1.37  excuselevel =       1
% 1.00/1.37  increasemaxweight = 1
% 1.00/1.37  
% 1.00/1.37  maxselected =       10000000
% 1.00/1.37  maxnrclauses =      10000000
% 1.00/1.37  
% 1.00/1.37  showgenerated =    0
% 1.00/1.37  showkept =         0
% 1.00/1.37  showselected =     0
% 1.00/1.37  showdeleted =      0
% 1.00/1.37  showresimp =       1
% 1.00/1.37  showstatus =       2000
% 1.00/1.37  
% 1.00/1.37  prologoutput =     1
% 1.00/1.37  nrgoals =          5000000
% 1.00/1.37  totalproof =       1
% 1.00/1.37  
% 1.00/1.37  Symbols occurring in the translation:
% 1.00/1.37  
% 1.00/1.37  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.00/1.37  .  [1, 2]      (w:1, o:131, a:1, s:1, b:0), 
% 1.00/1.37  !  [4, 1]      (w:0, o:57, a:1, s:1, b:0), 
% 1.00/1.37  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.00/1.37  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.00/1.37  'tc_RealDef_Oreal'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 1.00/1.37  'c_HOL_Ozero__class_Ozero'  [40, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 1.63/2.00  'c_HOL_Otimes__class_Otimes'  [41, 3]      (w:1, o:161, a:1, s:1, b:0), 
% 1.63/2.00  'c_HOL_Oplus__class_Oplus'  [42, 3]      (w:1, o:163, a:1, s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Oordered__ring__strict'  [44, 1]      (w:1, o:64
% 1.63/2.00    , a:1, s:1, b:0), 
% 1.63/2.00  'c_HOL_Ominus__class_Ominus'  [47, 3]      (w:1, o:164, a:1, s:1, b:0), 
% 1.63/2.00  'c_Transcendental_Osin'  [48, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 1.63/2.00  'c_Transcendental_Ocos'  [49, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 1.63/2.00  'class_Orderings_Olinorder'  [50, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 1.63/2.00  'c_lessequals'  [51, 3]      (w:1, o:165, a:1, s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Oordered__field'  [54, 1]      (w:1, o:68, a:1, s:1
% 1.63/2.00    , b:0), 
% 1.63/2.00  'class_Ring__and__Field_Odivision__by__zero'  [55, 1]      (w:1, o:71, a:1
% 1.63/2.00    , s:1, b:0), 
% 1.63/2.00  'class_Int_Onumber'  [56, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 1.63/2.00  'c_HOL_Oinverse__class_Odivide'  [59, 3]      (w:1, o:166, a:1, s:1, b:0), 
% 1.63/2.00    
% 1.63/2.00  'c_Int_Onumber__class_Onumber__of'  [60, 2]      (w:1, o:158, a:1, s:1, b:0
% 1.63/2.00    ), 
% 1.63/2.00  'class_RealVector_Oreal__normed__vector'  [62, 1]      (w:1, o:73, a:1, s:1
% 1.63/2.00    , b:0), 
% 1.63/2.00  'c_RealVector_Onorm__class_Onorm'  [63, 2]      (w:1, o:159, a:1, s:1, b:0)
% 1.63/2.00    , 
% 1.63/2.00  'c_HOL_Ouminus__class_Ouminus'  [64, 2]      (w:1, o:156, a:1, s:1, b:0), 
% 1.63/2.00  'c_Transcendental_Opi'  [65, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 1.63/2.00  'c_Int_OPls'  [66, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 1.63/2.00  'c_Int_OBit1'  [67, 1]      (w:1, o:76, a:1, s:1, b:0), 
% 1.63/2.00  'c_Int_OBit0'  [68, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 1.63/2.00  'c_NthRoot_Osqrt'  [69, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 1.63/2.00  'class_Orderings_Oorder'  [70, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Opordered__comm__monoid__add'  [71, 1]      (w:1, o:80
% 1.63/2.00    , a:1, s:1, b:0), 
% 1.63/2.00  'class_Orderings_Opreorder'  [72, 1]      (w:1, o:81, a:1, s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Opordered__ab__group__add'  [73, 1]      (w:1, o:82, a:
% 1.63/2.00    1, s:1, b:0), 
% 1.63/2.00  'c_HOL_Oabs__class_Oabs'  [78, 2]      (w:1, o:157, a:1, s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Olordered__ab__group__add'  [79, 1]      (w:1, o:83, a:
% 1.63/2.00    1, s:1, b:0), 
% 1.63/2.00  'c_Transcendental_Otan'  [80, 1]      (w:1, o:84, a:1, s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Oordered__semidom'  [81, 1]      (w:1, o:85, a:1
% 1.63/2.00    , s:1, b:0), 
% 1.63/2.00  'c_HOL_Oone__class_Oone'  [82, 1]      (w:1, o:74, a:1, s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Osemiring'  [83, 1]      (w:1, o:88, a:1, s:1, b:0)
% 1.63/2.00    , 
% 1.63/2.00  'class_Ring__and__Field_Ocomm__semiring__1'  [85, 1]      (w:1, o:69, a:1
% 1.63/2.00    , s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Oidom'  [87, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 1.63/2.00  'class_Int_Onumber__ring'  [88, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 1.63/2.00  'class_RealVector_Oreal__normed__div__algebra'  [89, 1]      (w:1, o:91, a:
% 1.63/2.00    1, s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Ocomm__monoid__add'  [90, 1]      (w:1, o:92, a:1, s:1
% 1.63/2.00    , b:0), 
% 1.63/2.00  'class_Ring__and__Field_Oring'  [91, 1]      (w:1, o:86, a:1, s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Opordered__ab__semigroup__add'  [93, 1]      (w:1, o:93
% 1.63/2.00    , a:1, s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Oab__group__add'  [94, 1]      (w:1, o:94, a:1, s:1, b:
% 1.63/2.00    0), 
% 1.63/2.00  'c_HOL_Oord__class_Oless'  [96, 3]      (w:1, o:162, a:1, s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Opordered__cancel__semiring'  [97, 1]      (w:1, o:
% 1.63/2.00    99, a:1, s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Ocancel__semigroup__add'  [98, 1]      (w:1, o:100, a:1
% 1.63/2.00    , s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [99, 1]      (w:1, o:101
% 1.63/2.00    , a:1, s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Oordered__idom'  [100, 1]      (w:1, o:95, a:1, s:1
% 1.63/2.00    , b:0), 
% 1.63/2.00  'class_Ring__and__Field_Opordered__semiring'  [101, 1]      (w:1, o:104, a:
% 1.63/2.00    1, s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Ocomm__semiring'  [102, 1]      (w:1, o:70, a:1, s:
% 1.63/2.00    1, b:0), 
% 1.63/2.00  'class_RealVector_Oreal__normed__algebra'  [105, 1]      (w:1, o:105, a:1
% 1.63/2.00    , s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Oab__semigroup__mult'  [115, 1]      (w:1, o:106, a:1
% 1.63/2.00    , s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Opordered__ring'  [116, 1]      (w:1, o:102, a:1
% 1.63/2.00    , s:1, b:0), 
% 1.63/2.00  'class_OrderedGroup_Oab__semigroup__idem__mult'  [117, 1]      (w:1, o:107
% 1.63/2.00    , a:1, s:1, b:0), 
% 1.63/2.00  'class_Ring__and__Field_Omult__mono'  [119, 1]      (w:1, o:109, a:1, s:1
% 15.11/15.51    , b:0), 
% 15.11/15.51  'class_Ring__and__Field_Omult__mono1'  [120, 1]      (w:1, o:110, a:1, s:1
% 15.11/15.51    , b:0), 
% 15.11/15.51  'class_Ring__and__Field_Oordered__semiring__strict'  [121, 1]      (w:1, o:
% 15.11/15.51    96, a:1, s:1, b:0), 
% 15.11/15.51  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [122, 1]      
% 15.11/15.51    (w:1, o:97, a:1, s:1, b:0), 
% 15.11/15.51  'class_OrderedGroup_Ogroup__add'  [123, 1]      (w:1, o:111, a:1, s:1, b:0)
% 15.11/15.51    , 
% 15.11/15.51  'class_OrderedGroup_Oordered__ab__group__add'  [124, 1]      (w:1, o:79, a:
% 15.11/15.51    1, s:1, b:0), 
% 15.11/15.51  'class_Ring__and__Field_Ofield'  [125, 1]      (w:1, o:112, a:1, s:1, b:0)
% 15.11/15.51    , 
% 15.11/15.51  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [126, 1]      
% 15.11/15.51    (w:1, o:113, a:1, s:1, b:0), 
% 15.11/15.51  'class_OrderedGroup_Olordered__ab__group__add__abs'  [127, 1]      (w:1, o:
% 15.11/15.51    114, a:1, s:1, b:0), 
% 15.11/15.51  'class_Ring__and__Field_Olordered__ring'  [128, 1]      (w:1, o:108, a:1
% 15.11/15.51    , s:1, b:0), 
% 15.11/15.51  'c_Transcendental_Oln'  [129, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 15.11/15.51  'class_OrderedGroup_Omonoid__mult'  [130, 1]      (w:1, o:116, a:1, s:1, b:
% 15.11/15.51    0), 
% 15.11/15.51  'class_OrderedGroup_Ocomm__monoid__mult'  [131, 1]      (w:1, o:117, a:1
% 15.11/15.51    , s:1, b:0), 
% 15.11/15.51  'class_OrderedGroup_Oab__semigroup__add'  [132, 1]      (w:1, o:118, a:1
% 15.11/15.51    , s:1, b:0), 
% 15.11/15.51  'class_OrderedGroup_Opordered__ab__group__add__abs'  [133, 1]      (w:1, o:
% 15.11/15.51    119, a:1, s:1, b:0), 
% 15.11/15.51  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [135, 1]      
% 15.11/15.51    (w:1, o:120, a:1, s:1, b:0), 
% 15.11/15.51  'class_Ring__and__Field_Oring__no__zero__divisors'  [136, 1]      (w:1, o:
% 15.11/15.51    87, a:1, s:1, b:0), 
% 15.11/15.51  'class_Ring__and__Field_Omult__zero'  [137, 1]      (w:1, o:121, a:1, s:1
% 15.11/15.51    , b:0), 
% 15.11/15.51  'class_Ring__and__Field_Ozero__neq__one'  [138, 1]      (w:1, o:122, a:1
% 15.11/15.51    , s:1, b:0), 
% 15.11/15.51  'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1'  [140, 3
% 15.11/15.51    ]      (w:1, o:167, a:1, s:1, b:0), 
% 15.11/15.51  hAPP  [142, 2]      (w:1, o:160, a:1, s:1, b:0), 
% 15.11/15.51  'tc_Complex_Ocomplex'  [144, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 15.11/15.51  'class_Ring__and__Field_Ono__zero__divisors'  [145, 1]      (w:1, o:63, a:1
% 15.11/15.51    , s:1, b:0), 
% 15.11/15.51  'class_OrderedGroup_Omonoid__add'  [146, 1]      (w:1, o:123, a:1, s:1, b:0
% 15.11/15.51    ), 
% 15.11/15.51  'class_Ring__and__Field_Oordered__semiring'  [147, 1]      (w:1, o:98, a:1
% 15.11/15.51    , s:1, b:0), 
% 15.11/15.51  'class_Ring__and__Field_Opordered__ring__abs'  [148, 1]      (w:1, o:103
% 15.11/15.51    , a:1, s:1, b:0), 
% 15.11/15.51  'class_RealVector_Oreal__field'  [153, 1]      (w:1, o:124, a:1, s:1, b:0)
% 15.11/15.51    , 
% 15.11/15.51  'class_RealVector_Oreal__normed__field'  [155, 1]      (w:1, o:125, a:1, s:
% 15.11/15.51    1, b:0), 
% 15.11/15.51  'c_Polynomial_Opoly'  [157, 3]      (w:1, o:168, a:1, s:1, b:0), 
% 15.11/15.51  'v_thesis____'  [158, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 15.11/15.51  'v_p'  [159, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 15.11/15.51  'v_s____'  [160, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 15.11/15.51  'v_z____'  [161, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 15.11/15.51  'v_sko__local__Xthat__1'  [162, 4]      (w:1, o:170, a:1, s:1, b:0), 
% 15.11/15.51  'class_Ring__and__Field_Oabs__if'  [163, 1]      (w:1, o:126, a:1, s:1, b:0
% 15.11/15.51    ), 
% 15.11/15.51  'class_RealVector_Oreal__normed__algebra__1'  [164, 1]      (w:1, o:127, a:
% 15.11/15.51    1, s:1, b:0), 
% 15.11/15.51  'class_Lattices_Oboolean__algebra'  [165, 1]      (w:1, o:128, a:1, s:1, b:
% 15.11/15.51    0), 
% 15.11/15.51  'class_Int_Oring__char__0'  [166, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 15.11/15.51  'v_sko__CHAINED__1'  [167, 3]      (w:1, o:169, a:1, s:1, b:0), 
% 15.11/15.51  'v_d'  [169, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 15.11/15.51  'tc_Int_Oint'  [170, 0]      (w:1, o:56, a:1, s:1, b:0).
% 15.11/15.51  
% 15.11/15.51  
% 15.11/15.51  Starting Search:
% 15.11/15.51  
% 15.11/15.51  Resimplifying inuse:
% 15.11/15.51  Done
% 15.11/15.51  
% 15.11/15.51  
% 15.11/15.51  Intermediate Status:
% 15.11/15.51  Generated:    6227
% 15.11/15.51  Kept:         2328
% 15.11/15.51  Inuse:        185
% 15.11/15.51  Deleted:      6
% 15.11/15.51  Deletedinuse: 0
% 15.11/15.51  
% 15.11/15.51  Resimplifying inuse:
% 15.11/15.51  Done
% 15.11/15.51  
% 15.11/15.51  Resimplifying inuse:
% 15.11/15.51  Done
% 15.11/15.51  
% 15.11/15.51  
% 15.11/15.51  Intermediate Status:
% 15.11/15.51  Generated:    13554
% 15.11/15.51  Kept:         4328
% 15.11/15.51  Inuse:        288
% 15.11/15.51  Deleted:      7
% 15.11/15.51  Deletedinuse: 0
% 15.11/15.51  
% 15.11/15.51  Resimplifying inuse:
% 15.11/15.51  Done
% 15.11/15.51  
% 15.11/15.51  Resimplifying inuse:
% 15.11/15.51  Done
% 15.11/15.51  
% 15.11/15.51  
% 15.11/15.51  Intermediate Status:
% 15.11/15.51  Generated:    26883
% 15.11/15.51  Kept:         6461
% 15.11/15.51  Inuse:        338
% 15.11/15.51  Deleted:      8
% 15.11/15.51  Deletedinuse: 0
% 15.11/15.51  
% 15.11/15.51  Resimplifying inuse:
% 15.11/15.51  Done
% 15.11/15.51  
% 15.11/15.51  Resimplifying inuse:
% 15.11/15.51  Done
% 15.11/15.51  
% 15.11/15.51  
% 15.11/15.51  Intermediate Status:
% 15.11/15.51  Generated:    40879
% 15.11/15.51  Kept:         8816
% 15.11/15.51  Inuse:        458
% 15.11/15.51  Deleted:      8
% 15.11/15.51  Deletedinuse: 0
% 15.11/15.51  
% 15.11/15.51  Resimplifying inuse:
% 15.11/15.51  Done
% 15.11/15.51  
% 15.11/15.51  Resimplifying inuse:
% 15.11/15.51  Done
% 15.11/15.51  
% 15.11/15.51  
% 15.11/15.51  Intermediate Status:
% 15.11/15.51  Generated:    56653
% 15.11/15.51  Kept:         11257
% 15.11/15.51  Inuse:        478
% 15.11/15.51  Deleted:      10
% 15.11/15.51  Deletedinuse: 2
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    74188
% 54.93/55.37  Kept:         15027
% 54.93/55.37  Inuse:        557
% 54.93/55.37  Deleted:      10
% 54.93/55.37  Deletedinuse: 2
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    84856
% 54.93/55.37  Kept:         17048
% 54.93/55.37  Inuse:        638
% 54.93/55.37  Deleted:      10
% 54.93/55.37  Deletedinuse: 2
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    103833
% 54.93/55.37  Kept:         20565
% 54.93/55.37  Inuse:        734
% 54.93/55.37  Deleted:      23
% 54.93/55.37  Deletedinuse: 2
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying clauses:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    112368
% 54.93/55.37  Kept:         22606
% 54.93/55.37  Inuse:        793
% 54.93/55.37  Deleted:      387
% 54.93/55.37  Deletedinuse: 2
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    122644
% 54.93/55.37  Kept:         24612
% 54.93/55.37  Inuse:        827
% 54.93/55.37  Deleted:      393
% 54.93/55.37  Deletedinuse: 8
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    140280
% 54.93/55.37  Kept:         29295
% 54.93/55.37  Inuse:        853
% 54.93/55.37  Deleted:      393
% 54.93/55.37  Deletedinuse: 8
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    148541
% 54.93/55.37  Kept:         31370
% 54.93/55.37  Inuse:        897
% 54.93/55.37  Deleted:      397
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    169677
% 54.93/55.37  Kept:         35425
% 54.93/55.37  Inuse:        927
% 54.93/55.37  Deleted:      397
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    184411
% 54.93/55.37  Kept:         37692
% 54.93/55.37  Inuse:        962
% 54.93/55.37  Deleted:      397
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    195166
% 54.93/55.37  Kept:         39821
% 54.93/55.37  Inuse:        987
% 54.93/55.37  Deleted:      397
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying clauses:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    202204
% 54.93/55.37  Kept:         41930
% 54.93/55.37  Inuse:        1012
% 54.93/55.37  Deleted:      845
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    213407
% 54.93/55.37  Kept:         44021
% 54.93/55.37  Inuse:        1062
% 54.93/55.37  Deleted:      845
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    226489
% 54.93/55.37  Kept:         46126
% 54.93/55.37  Inuse:        1117
% 54.93/55.37  Deleted:      845
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    238485
% 54.93/55.37  Kept:         48173
% 54.93/55.37  Inuse:        1145
% 54.93/55.37  Deleted:      845
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    253025
% 54.93/55.37  Kept:         52051
% 54.93/55.37  Inuse:        1166
% 54.93/55.37  Deleted:      845
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    266067
% 54.93/55.37  Kept:         54163
% 54.93/55.37  Inuse:        1202
% 54.93/55.37  Deleted:      845
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    282718
% 54.93/55.37  Kept:         56460
% 54.93/55.37  Inuse:        1247
% 54.93/55.37  Deleted:      845
% 54.93/55.37  Deletedinuse: 11
% 54.93/55.37  
% 54.93/55.37  Resimplifying inuse:
% 54.93/55.37  Done
% 54.93/55.37  
% 54.93/55.37  
% 54.93/55.37  Intermediate Status:
% 54.93/55.37  Generated:    305584
% 54.93/55.37  Kept:         59889
% 54.93/55.37  Inuse:        1262
% 54.93/55.37  Deleted:      845
% 54.93/55.38  Deletedinuse: 11
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  Resimplifying clauses:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  
% 54.93/55.38  Intermediate Status:
% 54.93/55.38  Generated:    320673
% 54.93/55.38  Kept:         62519
% 54.93/55.38  Inuse:        1287
% 54.93/55.38  Deleted:      1831
% 54.93/55.38  Deletedinuse: 11
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  
% 54.93/55.38  Intermediate Status:
% 54.93/55.38  Generated:    347159
% 54.93/55.38  Kept:         64526
% 54.93/55.38  Inuse:        1303
% 54.93/55.38  Deleted:      1831
% 54.93/55.38  Deletedinuse: 11
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  
% 54.93/55.38  Intermediate Status:
% 54.93/55.38  Generated:    378163
% 54.93/55.38  Kept:         67410
% 54.93/55.38  Inuse:        1322
% 54.93/55.38  Deleted:      1831
% 54.93/55.38  Deletedinuse: 11
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  
% 54.93/55.38  Intermediate Status:
% 54.93/55.38  Generated:    390888
% 54.93/55.38  Kept:         69418
% 54.93/55.38  Inuse:        1360
% 54.93/55.38  Deleted:      1833
% 54.93/55.38  Deletedinuse: 13
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  
% 54.93/55.38  Intermediate Status:
% 54.93/55.38  Generated:    399930
% 54.93/55.38  Kept:         72237
% 54.93/55.38  Inuse:        1372
% 54.93/55.38  Deleted:      1834
% 54.93/55.38  Deletedinuse: 13
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  Resimplifying inuse:
% 54.93/55.38  Done
% 54.93/55.38  
% 54.93/55.38  
% 54.93/55.38  Intermediate Status:
% 54.93/55.38  Generated:    427192
% 54.93/55.38  Kept:         75087
% 54.93/55.38  Inuse:        1416
% 54.93/55.38  Deleted:      1834
% 54.93/55.38  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    443047
% 137.59/138.04  Kept:         77955
% 137.59/138.04  Inuse:        1441
% 137.59/138.04  Deleted:      1834
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    454112
% 137.59/138.04  Kept:         80024
% 137.59/138.04  Inuse:        1476
% 137.59/138.04  Deleted:      1834
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying clauses:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    467916
% 137.59/138.04  Kept:         82024
% 137.59/138.04  Inuse:        1501
% 137.59/138.04  Deleted:      2587
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    487776
% 137.59/138.04  Kept:         84855
% 137.59/138.04  Inuse:        1531
% 137.59/138.04  Deleted:      2587
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    503962
% 137.59/138.04  Kept:         87503
% 137.59/138.04  Inuse:        1541
% 137.59/138.04  Deleted:      2587
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    520322
% 137.59/138.04  Kept:         89676
% 137.59/138.04  Inuse:        1581
% 137.59/138.04  Deleted:      2587
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    530041
% 137.59/138.04  Kept:         91727
% 137.59/138.04  Inuse:        1599
% 137.59/138.04  Deleted:      2587
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    541559
% 137.59/138.04  Kept:         93876
% 137.59/138.04  Inuse:        1621
% 137.59/138.04  Deleted:      2587
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    573307
% 137.59/138.04  Kept:         98482
% 137.59/138.04  Inuse:        1646
% 137.59/138.04  Deleted:      2587
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    580241
% 137.59/138.04  Kept:         101136
% 137.59/138.04  Inuse:        1647
% 137.59/138.04  Deleted:      2587
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    602097
% 137.59/138.04  Kept:         103663
% 137.59/138.04  Inuse:        1651
% 137.59/138.04  Deleted:      2587
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying clauses:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    621327
% 137.59/138.04  Kept:         107269
% 137.59/138.04  Inuse:        1661
% 137.59/138.04  Deleted:      3427
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    640351
% 137.59/138.04  Kept:         109767
% 137.59/138.04  Inuse:        1706
% 137.59/138.04  Deleted:      3427
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    652192
% 137.59/138.04  Kept:         111879
% 137.59/138.04  Inuse:        1731
% 137.59/138.04  Deleted:      3427
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    663609
% 137.59/138.04  Kept:         113893
% 137.59/138.04  Inuse:        1759
% 137.59/138.04  Deleted:      3427
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    675051
% 137.59/138.04  Kept:         116118
% 137.59/138.04  Inuse:        1781
% 137.59/138.04  Deleted:      3427
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    684602
% 137.59/138.04  Kept:         118129
% 137.59/138.04  Inuse:        1803
% 137.59/138.04  Deleted:      3427
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    697362
% 137.59/138.04  Kept:         120334
% 137.59/138.04  Inuse:        1811
% 137.59/138.04  Deleted:      3427
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    710658
% 137.59/138.04  Kept:         122550
% 137.59/138.04  Inuse:        1821
% 137.59/138.04  Deleted:      3427
% 137.59/138.04  Deletedinuse: 13
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying clauses:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    720711
% 137.59/138.04  Kept:         124555
% 137.59/138.04  Inuse:        1843
% 137.59/138.04  Deleted:      4346
% 137.59/138.04  Deletedinuse: 14
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    730227
% 137.59/138.04  Kept:         126612
% 137.59/138.04  Inuse:        1866
% 137.59/138.04  Deleted:      4346
% 137.59/138.04  Deletedinuse: 14
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    740867
% 137.59/138.04  Kept:         128805
% 137.59/138.04  Inuse:        1891
% 137.59/138.04  Deleted:      4346
% 137.59/138.04  Deletedinuse: 14
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    761969
% 137.59/138.04  Kept:         132085
% 137.59/138.04  Inuse:        1901
% 137.59/138.04  Deleted:      4346
% 137.59/138.04  Deletedinuse: 14
% 137.59/138.04  
% 137.59/138.04  Resimplifying inuse:
% 137.59/138.04  Done
% 137.59/138.04  
% 137.59/138.04  
% 137.59/138.04  Intermediate Status:
% 137.59/138.04  Generated:    780395
% 137.59/138.04  Kept:         134787
% 137.59/138.04  Inuse:        1906
% 137.59/138.04  Deleted:      4346
% 137.59/138.04  Deletedinuse: 1Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------