Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : ALG354-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Thu Jul 14 12:10:28 EDT 2022

% Result   : Unsatisfiable 3.15s 3.56s
% Output   : Refutation 3.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG354-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n018.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 : Wed Jun  8 19:18:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.83/1.19  *** allocated 10000 integers for termspace/termends
% 0.83/1.19  *** allocated 10000 integers for clauses
% 0.83/1.19  *** allocated 10000 integers for justifications
% 0.83/1.19  Bliksem 1.12
% 0.83/1.19  
% 0.83/1.19  
% 0.83/1.19  Automatic Strategy Selection
% 0.83/1.19  
% 0.83/1.19  Clauses:
% 0.83/1.19  [
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.83/1.19    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.83/1.19     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.83/1.19    'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.83/1.19     [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.83/1.19    , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.83/1.19    'c_Suc'( X ), 'tc_nat' ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.83/1.19    'c_Suc'( X ), 'tc_nat' ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.83/1.19    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.83/1.19    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.83/1.19     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.83/1.19    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.83/1.19     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.83/1.19    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.83/1.19     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.83/1.19    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.83/1.19     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.83/1.19     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.83/1.19     ), 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.83/1.19     ), 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.83/1.19     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.83/1.19    , X ), X ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.83/1.19    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.83/1.19    X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.83/1.19    , Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 0.83/1.19    X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.83/1.19    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.83/1.19    X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.83/1.19    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.83/1.19    X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.83/1.19    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.83/1.19    X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.83/1.19    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.83/1.19    X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    Y, Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    Y, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.83/1.19    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 0.83/1.19    X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 0.83/1.19    X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.83/1.19    Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 0.83/1.19    Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.83/1.19    X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 0.83/1.19    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.83/1.19    X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.83/1.19    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.83/1.19    X ), T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.83/1.19    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.83/1.19    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.83/1.19    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    Y, T, X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.83/1.19    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    Y, T, X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.19     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 0.83/1.19    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.83/1.19    , Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.83/1.19    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19    , Z, X ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 0.83/1.19    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19    , Z, X ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.83/1.19    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.19    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.83/1.19     ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.19     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 0.83/1.19    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.83/1.19     ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.83/1.19    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19    , T, X ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.83/1.19    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19    , T, X ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.19    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.83/1.19    Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.83/1.19    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.83/1.19    , X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.83/1.19    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.83/1.19    , X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.83/1.19    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.83/1.19    , X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.83/1.19    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.83/1.19    , X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.83/1.19    , X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Z, Y, X ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.83/1.19    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.19    , Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.83/1.19    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.83/1.19    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.83/1.19    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.83/1.19    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    Y, T, X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.19    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19     ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.19    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.19    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.83/1.19     ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.19     ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.83/1.19     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.83/1.19     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.19     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.83/1.19    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.19    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.83/1.19    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.19     ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.83/1.19    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.83/1.19    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.83/1.19    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.83/1.19    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.83/1.19     ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 0.83/1.19    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.83/1.19    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.83/1.19     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.19     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    Z, T, X ), X ) ) ],
% 0.83/1.19     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 
% 0.83/1.19    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.83/1.19     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 
% 0.83/1.19    'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 0.83/1.19    'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 0.83/1.19    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.83/1.19    , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.83/1.19     ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.19    , Y, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.19    , T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.19    , T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.19    , Y, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.19    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.83/1.19    X ), T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.19    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.19    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.83/1.19    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.83/1.19    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.83/1.19    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.83/1.19    Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.83/1.19    Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.19     ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.19     ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.83/1.19    Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y, 
% 0.83/1.19    'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.19     ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =( 
% 0.83/1.19    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.83/1.19     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( 
% 0.83/1.19    Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.83/1.19    , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.83/1.19     ), Y ) ],
% 0.83/1.19     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.83/1.19     ), Y ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.83/1.19     ), Y ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.19    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.19    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.83/1.19     ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.83/1.19    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.19    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.19    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.83/1.19    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.83/1.19     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.83/1.19     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.83/1.19     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.83/1.19     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    Y, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.19     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.19     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.83/1.19    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.83/1.19     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.83/1.19     [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.19     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.83/1.19    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.19     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.19    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.19    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.83/1.19    , X ) ) ), =( Y, Z ) ],
% 0.83/1.19     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.83/1.19    , X ) ) ), =( Y, Z ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.83/1.19     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.83/1.19     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.19     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.83/1.19     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.83/1.19    'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.83/1.19    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.19     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.83/1.19    'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 0.83/1.19    'tc_RealDef_Oreal' ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.19     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.19     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.83/1.19    Y, X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.83/1.19    , X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 0.83/1.19    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.19    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.83/1.19    , X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.19    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.83/1.19     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.83/1.19     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.83/1.19    , X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.19     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.19     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.83/1.19     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.83/1.19    , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.83/1.19     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.83/1.19    , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.83/1.19     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.83/1.19    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.83/1.19    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.19     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.19     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.19    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.83/1.19    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.83/1.19     ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.83/1.19    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.83/1.19    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 0.83/1.19    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 0.83/1.19    X ), T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 0.83/1.19    X ), T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.83/1.19     ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ), 
% 0.83/1.19    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 
% 0.83/1.19    'tc_RealDef_Oreal' ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.83/1.19    , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 
% 0.83/1.19    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.19    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.19    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.19    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.19    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Y, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.19    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Y, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.19    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 0.83/1.19    X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Z, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.19    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Z, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.19    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.83/1.19    X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.83/1.19     ), Y, X ) ), =( Z, T ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.19    , Y, X ) ) ],
% 0.83/1.19     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.83/1.19    , X ) ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.19    , Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.83/1.19     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.83/1.19     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.83/1.19    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.19    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.83/1.19    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.19    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.83/1.19    Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( 
% 0.83/1.19    Y, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.83/1.19    X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.83/1.19    X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.83/1.19    X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =( 
% 0.83/1.19    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.83/1.19    X ) ) ), =( Y, T ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.83/1.19    X ) ) ), =( Z, T ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.83/1.19    X ) ) ), =( Z, T ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.83/1.19    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 0.83/1.19    X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.83/1.19    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.83/1.19    , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.19     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.19     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.19     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.19     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.19     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.19     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.19     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.83/1.19    X ), T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.83/1.19    T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.83/1.19    X ), T, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.83/1.19    T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.83/1.19    X ), Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.83/1.19    T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.83/1.19    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.83/1.19    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.19     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.19    , Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.19     ), =( Z, Y ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.19     ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.19     ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.19    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.19    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.19     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.19    , Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.83/1.19     ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.83/1.19    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.83/1.19    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.83/1.19    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.83/1.19    , Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.83/1.19    , Y, X ) ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.19     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.83/1.19     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.19    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.83/1.19    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.19     ) ) ],
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.83/1.19     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.83/1.19     [ 'v_thesis____', ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 0.83/1.19    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 0.83/1.19    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'v_m____', 'v_na____', 'tc_nat' ) ],
% 0.83/1.19     [ ~( =( 'v_m____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.83/1.19     [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 0.83/1.19    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 
% 0.83/1.19    'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'( 'v_b', 
% 0.83/1.19    'c_Power_Opower__class_Opower'( 'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 
% 0.83/1.19    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 0.83/1.19    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( 
% 0.83/1.19    'v_m____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 0.83/1.19    'c_HOL_Oord__class_Oless'( 'v_m____', 'v_na____', 'tc_nat' ) ) ],
% 0.83/1.19     [ ~( 'v_thesis____' ) ],
% 0.83/1.19     [ 'v_thesis____', ~( 'c_HOL_Oord__class_Oless'( 
% 0.83/1.19    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 0.83/1.19    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 0.83/1.19    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 0.83/1.19    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 0.83/1.19    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.83/1.19     ],
% 0.83/1.19     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.83/1.19     ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.83/1.19     ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 0.83/1.19    'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 0.83/1.19    'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 0.83/1.19    'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 0.83/1.19    'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 0.83/1.19    'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.83/1.19     ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.83/1.19     ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.83/1.19     ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.83/1.19     ],
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 0.83/1.19    'tc_Complex_Ocomplex' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 0.83/1.19    'tc_Complex_Ocomplex' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 0.83/1.19    'tc_Complex_Ocomplex' ) ],
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.83/1.19     ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.83/1.19     ],
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.83/1.19     ],
% 0.83/1.19     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.83/1.19     ],
% 0.83/1.19     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.83/1.19     ],
% 0.83/1.19     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.83/1.19    ,
% 0.83/1.19     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.83/1.19     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.83/1.19     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.96/2.41     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.96/2.41     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.96/2.41     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.96/2.41     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.96/2.41     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.96/2.41     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.96/2.41     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ]
% 1.96/2.41  ] .
% 1.96/2.41  
% 1.96/2.41  
% 1.96/2.41  percentage equality = 0.222948, percentage horn = 0.841232
% 1.96/2.41  This is a problem with some equality
% 1.96/2.41  
% 1.96/2.41  
% 1.96/2.41  
% 1.96/2.41  Options Used:
% 1.96/2.41  
% 1.96/2.41  useres =            1
% 1.96/2.41  useparamod =        1
% 1.96/2.41  useeqrefl =         1
% 1.96/2.41  useeqfact =         1
% 1.96/2.41  usefactor =         1
% 1.96/2.41  usesimpsplitting =  0
% 1.96/2.41  usesimpdemod =      5
% 1.96/2.41  usesimpres =        3
% 1.96/2.41  
% 1.96/2.41  resimpinuse      =  1000
% 1.96/2.41  resimpclauses =     20000
% 1.96/2.41  substype =          eqrewr
% 1.96/2.41  backwardsubs =      1
% 1.96/2.41  selectoldest =      5
% 1.96/2.41  
% 1.96/2.41  litorderings [0] =  split
% 1.96/2.41  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.96/2.41  
% 1.96/2.41  termordering =      kbo
% 1.96/2.41  
% 1.96/2.41  litapriori =        0
% 1.96/2.41  termapriori =       1
% 1.96/2.41  litaposteriori =    0
% 1.96/2.41  termaposteriori =   0
% 1.96/2.41  demodaposteriori =  0
% 1.96/2.41  ordereqreflfact =   0
% 1.96/2.41  
% 1.96/2.41  litselect =         negord
% 1.96/2.41  
% 1.96/2.41  maxweight =         15
% 1.96/2.41  maxdepth =          30000
% 1.96/2.41  maxlength =         115
% 1.96/2.41  maxnrvars =         195
% 1.96/2.41  excuselevel =       1
% 1.96/2.41  increasemaxweight = 1
% 1.96/2.41  
% 1.96/2.41  maxselected =       10000000
% 1.96/2.41  maxnrclauses =      10000000
% 1.96/2.41  
% 1.96/2.41  showgenerated =    0
% 1.96/2.41  showkept =         0
% 1.96/2.41  showselected =     0
% 1.96/2.41  showdeleted =      0
% 1.96/2.41  showresimp =       1
% 1.96/2.41  showstatus =       2000
% 1.96/2.41  
% 1.96/2.41  prologoutput =     1
% 1.96/2.41  nrgoals =          5000000
% 1.96/2.41  totalproof =       1
% 1.96/2.41  
% 1.96/2.41  Symbols occurring in the translation:
% 1.96/2.41  
% 1.96/2.41  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.96/2.41  .  [1, 2]      (w:1, o:105, a:1, s:1, b:0), 
% 1.96/2.41  !  [4, 1]      (w:0, o:49, a:1, s:1, b:0), 
% 1.96/2.41  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.96/2.41  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.96/2.41  'tc_nat'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 1.96/2.41  'c_HOL_Ozero__class_Ozero'  [40, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 1.96/2.41  'c_Suc'  [41, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 1.96/2.41  'c_HOL_Oord__class_Oless'  [42, 3]      (w:1, o:133, a:1, s:1, b:0), 
% 1.96/2.41  'class_Ring__and__Field_Ocomm__semiring__1'  [46, 1]      (w:1, o:56, a:1
% 1.96/2.41    , s:1, b:0), 
% 1.96/2.41  'c_Power_Opower__class_Opower'  [47, 3]      (w:1, o:134, a:1, s:1, b:0), 
% 1.96/2.41  'c_HOL_Oone__class_Oone'  [48, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 1.96/2.41  'class_Power_Opower'  [49, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 1.96/2.41  'class_Ring__and__Field_Osemiring__0'  [51, 1]      (w:1, o:83, a:1, s:1
% 1.96/2.41    , b:0), 
% 1.96/2.41  'class_Ring__and__Field_Ozero__neq__one'  [52, 1]      (w:1, o:84, a:1, s:1
% 1.96/2.41    , b:0), 
% 1.96/2.41  'class_Ring__and__Field_Ono__zero__divisors'  [53, 1]      (w:1, o:86, a:1
% 1.96/2.41    , s:1, b:0), 
% 1.96/2.41  'class_Ring__and__Field_Omult__zero'  [54, 1]      (w:1, o:85, a:1, s:1, b:
% 1.96/2.41    0), 
% 1.96/2.41  'class_Ring__and__Field_Oordered__idom'  [57, 1]      (w:1, o:87, a:1, s:1
% 1.96/2.41    , b:0), 
% 1.96/2.41  'class_Ring__and__Field_Oring'  [58, 1]      (w:1, o:79, a:1, s:1, b:0), 
% 1.96/2.41  'c_HOL_Otimes__class_Otimes'  [60, 3]      (w:1, o:135, a:1, s:1, b:0), 
% 1.96/2.41  'c_HOL_Ouminus__class_Ouminus'  [61, 2]      (w:1, o:130, a:1, s:1, b:0), 
% 1.96/2.41  'class_RealVector_Oreal__normed__algebra'  [62, 1]      (w:1, o:88, a:1, s:
% 1.96/2.41    1, b:0), 
% 1.96/2.41  'class_Ring__and__Field_Oidom'  [65, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 1.96/2.41  'class_Ring__and__Field_Oring__no__zero__divisors'  [66, 1]      (w:1, o:80
% 1.96/2.41    , a:1, s:1, b:0), 
% 1.96/2.41  'class_Ring__and__Field_Oordered__field'  [67, 1]      (w:1, o:90, a:1, s:1
% 1.96/2.41    , b:0), 
% 1.96/2.41  'class_Ring__and__Field_Odivision__by__zero'  [68, 1]      (w:1, o:92, a:1
% 1.96/2.41    , s:1, b:0), 
% 1.96/2.41  'c_HOL_Oinverse__class_Odivide'  [70, 3]      (w:1, o:136, a:1, s:1, b:0), 
% 1.96/2.41    
% 1.96/2.41  'class_OrderedGroup_Opordered__ab__group__add'  [72, 1]      (w:1, o:59, a:
% 1.96/2.41    1, s:1, b:0), 
% 1.96/2.41  'class_Ring__and__Field_Oordered__semidom'  [73, 1]      (w:1, o:94, a:1
% 1.96/2.41    , s:1, b:0), 
% 1.96/2.41  'class_Ring__and__Field_Ofield'  [74, 1]      (w:1, o:95, a:1, s:1, b:0), 
% 1.96/2.41  'c_HOL_Oplus__class_Oplus'  [76, 3]      (w:1, o:137, a:1, s:1, b:0), 
% 1.96/2.41  'class_OrderedGroup_Oab__group__add'  [77, 1]      (w:1, o:60, a:1, s:1, b:
% 1.96/2.41    0), 
% 1.96/2.41  'class_OrderedGroup_Ogroup__add'  [78, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 1.96/2.41    
% 1.96/2.41  'class_OrderedGroup_Olordered__ab__group__add'  [79, 1]      (w:1, o:62, a:
% 3.15/3.56    1, s:1, b:0), 
% 3.15/3.56  'class_Int_Onumber__ring'  [80, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Omonoid__add'  [81, 1]      (w:1, o:63, a:1, s:1, b:0)
% 3.15/3.56    , 
% 3.15/3.56  'class_OrderedGroup_Ocomm__monoid__add'  [82, 1]      (w:1, o:64, a:1, s:1
% 3.15/3.56    , b:0), 
% 3.15/3.56  'class_RealVector_Oreal__normed__field'  [83, 1]      (w:1, o:97, a:1, s:1
% 3.15/3.56    , b:0), 
% 3.15/3.56  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [85, 1]      (w:1
% 3.15/3.56    , o:81, a:1, s:1, b:0), 
% 3.15/3.56  'tc_RealDef_Oreal'  [86, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 3.15/3.56  'class_RealVector_Oreal__normed__vector'  [87, 1]      (w:1, o:98, a:1, s:1
% 3.15/3.56    , b:0), 
% 3.15/3.56  'c_RealVector_Onorm__class_Onorm'  [88, 2]      (w:1, o:131, a:1, s:1, b:0)
% 3.15/3.56    , 
% 3.15/3.56  'class_Ring__and__Field_Oordered__ring__strict'  [90, 1]      (w:1, o:93
% 3.15/3.56    , a:1, s:1, b:0), 
% 3.15/3.56  'class_Ring__and__Field_Oordered__semiring__strict'  [91, 1]      (w:1, o:
% 3.15/3.56    99, a:1, s:1, b:0), 
% 3.15/3.56  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [92, 1]      (w:
% 3.15/3.56    1, o:100, a:1, s:1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Opordered__comm__monoid__add'  [93, 1]      (w:1, o:65
% 3.15/3.56    , a:1, s:1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Omonoid__mult'  [97, 1]      (w:1, o:66, a:1, s:1, b:0)
% 3.15/3.56    , 
% 3.15/3.56  'class_RealVector_Oreal__normed__div__algebra'  [98, 1]      (w:1, o:101
% 3.15/3.56    , a:1, s:1, b:0), 
% 3.15/3.56  'class_Lattices_Oboolean__algebra'  [99, 1]      (w:1, o:102, a:1, s:1, b:0
% 3.15/3.56    ), 
% 3.15/3.56  'class_OrderedGroup_Oordered__ab__group__add'  [106, 1]      (w:1, o:58, a:
% 3.15/3.56    1, s:1, b:0), 
% 3.15/3.56  'class_Ring__and__Field_Oring__1'  [108, 1]      (w:1, o:82, a:1, s:1, b:0)
% 3.15/3.56    , 
% 3.15/3.56  'class_Orderings_Oorder'  [110, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 3.15/3.56  'class_Orderings_Olinorder'  [111, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 3.15/3.56  'class_Orderings_Opreorder'  [112, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [113, 1]      
% 3.15/3.56    (w:1, o:70, a:1, s:1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [114, 1]      
% 3.15/3.56    (w:1, o:71, a:1, s:1, b:0), 
% 3.15/3.56  'class_RealVector_Oreal__normed__algebra__1'  [116, 1]      (w:1, o:103, a:
% 3.15/3.56    1, s:1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Ocancel__semigroup__add'  [117, 1]      (w:1, o:72, a:1
% 3.15/3.56    , s:1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [118, 1]      (w:1, o:73
% 3.15/3.56    , a:1, s:1, b:0), 
% 3.15/3.56  'class_Ring__and__Field_Ocomm__semiring'  [119, 1]      (w:1, o:91, a:1, s:
% 3.15/3.56    1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Oab__semigroup__mult'  [126, 1]      (w:1, o:74, a:1
% 3.15/3.56    , s:1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Ocomm__monoid__mult'  [127, 1]      (w:1, o:75, a:1, s:
% 3.15/3.56    1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Oab__semigroup__idem__mult'  [128, 1]      (w:1, o:76
% 3.15/3.56    , a:1, s:1, b:0), 
% 3.15/3.56  'class_OrderedGroup_Oab__semigroup__add'  [129, 1]      (w:1, o:77, a:1, s:
% 3.15/3.56    1, b:0), 
% 3.15/3.56  'class_Ring__and__Field_Osemiring'  [130, 1]      (w:1, o:104, a:1, s:1, b:
% 3.15/3.56    0), 
% 3.15/3.56  'v_thesis____'  [132, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 3.15/3.56  'tc_Complex_Ocomplex'  [133, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 3.15/3.56  'v_b'  [134, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 3.15/3.56  'v_m____'  [135, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 3.15/3.56  'v_na____'  [136, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 3.15/3.56  'v_sko__CHAINED__1'  [137, 2]      (w:1, o:132, a:1, s:1, b:0).
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Starting Search:
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Intermediate Status:
% 3.15/3.56  Generated:    4616
% 3.15/3.56  Kept:         2001
% 3.15/3.56  Inuse:        156
% 3.15/3.56  Deleted:      4
% 3.15/3.56  Deletedinuse: 0
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Intermediate Status:
% 3.15/3.56  Generated:    12021
% 3.15/3.56  Kept:         4050
% 3.15/3.56  Inuse:        256
% 3.15/3.56  Deleted:      5
% 3.15/3.56  Deletedinuse: 0
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Intermediate Status:
% 3.15/3.56  Generated:    26195
% 3.15/3.56  Kept:         6795
% 3.15/3.56  Inuse:        295
% 3.15/3.56  Deleted:      6
% 3.15/3.56  Deletedinuse: 0
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Intermediate Status:
% 3.15/3.56  Generated:    41148
% 3.15/3.56  Kept:         8797
% 3.15/3.56  Inuse:        347
% 3.15/3.56  Deleted:      6
% 3.15/3.56  Deletedinuse: 0
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Intermediate Status:
% 3.15/3.56  Generated:    53260
% 3.15/3.56  Kept:         10826
% 3.15/3.56  Inuse:        400
% 3.15/3.56  Deleted:      6
% 3.15/3.56  Deletedinuse: 0
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Intermediate Status:
% 3.15/3.56  Generated:    65195
% 3.15/3.56  Kept:         12911
% 3.15/3.56  Inuse:        442
% 3.15/3.56  Deleted:      6
% 3.15/3.56  Deletedinuse: 0
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Intermediate Status:
% 3.15/3.56  Generated:    75782
% 3.15/3.56  Kept:         14960
% 3.15/3.56  Inuse:        495
% 3.15/3.56  Deleted:      6
% 3.15/3.56  Deletedinuse: 0
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Intermediate Status:
% 3.15/3.56  Generated:    86952
% 3.15/3.56  Kept:         17104
% 3.15/3.56  Inuse:        545
% 3.15/3.56  Deleted:      6
% 3.15/3.56  Deletedinuse: 0
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  Intermediate Status:
% 3.15/3.56  Generated:    95931
% 3.15/3.56  Kept:         19198
% 3.15/3.56  Inuse:        575
% 3.15/3.56  Deleted:      6
% 3.15/3.56  Deletedinuse: 0
% 3.15/3.56  
% 3.15/3.56  Resimplifying inuse:
% 3.15/3.56  Done
% 3.15/3.56  
% 3.15/3.56  Resimplifying clauses:
% 3.15/3.56  
% 3.15/3.56  Bliksems!, er is een bewijs:
% 3.15/3.56  % SZS status Unsatisfiable
% 3.15/3.56  % SZS output start Refutation
% 3.15/3.56  
% 3.15/3.56  clause( 299, [ 'c_HOL_Oord__class_Oless'( 'v_m____', 'v_na____', 'tc_nat' )
% 3.15/3.56     ] )
% 3.15/3.56  .
% 3.15/3.56  clause( 300, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____' ) )
% 3.15/3.56     ] )
% 3.15/3.56  .
% 3.15/3.56  clause( 301, [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 3.15/3.56    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 
% 3.15/3.56    'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'( 'v_b', 
% 3.15/3.56    'c_Power_Opower__class_Opower'( 'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 
% 3.15/3.56    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.56    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.56    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( 
% 3.15/3.56    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____' ) ] )
% 3.15/3.56  .
% 3.15/3.56  clause( 302, [ ~( 'v_thesis____' ) ] )
% 3.15/3.56  .
% 3.15/3.56  clause( 303, [ ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.56    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.56    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.56    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 3.15/3.56    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.56    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.56    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.15/3.56     )
% 3.15/3.56  .
% 3.15/3.56  clause( 20203, [] )
% 3.15/3.56  .
% 3.15/3.56  
% 3.15/3.56  
% 3.15/3.56  % SZS output end Refutation
% 3.15/3.56  found a proof!
% 3.15/3.56  
% 3.15/3.56  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.15/3.56  
% 3.15/3.56  initialclauses(
% 3.15/3.56  [ clause( 20205, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.56    'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' )
% 3.15/3.56     ] )
% 3.15/3.56  , clause( 20206, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 3.15/3.56    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.56    'tc_nat' ) ), 'tc_nat' ) ) ] )
% 3.15/3.56  , clause( 20207, [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 3.15/3.56     ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 3.15/3.56    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_Suc'( 
% 3.15/3.56    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ] )
% 3.15/3.56  , clause( 20208, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.56    'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 3.15/3.56  , clause( 20209, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.56    'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 3.15/3.56  , clause( 20210, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.56    =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.56    'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.15/3.56  , clause( 20211, [ ~( 'class_Power_Opower'( X ) ), =( 
% 3.15/3.56    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 3.15/3.56    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.15/3.56  , clause( 20212, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 3.15/3.56    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 3.15/3.56    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.15/3.56     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 3.15/3.56  , clause( 20213, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 3.15/3.56    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 3.15/3.56    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 3.15/3.56     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 3.15/3.56    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 3.15/3.56    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 3.15/3.56  , clause( 20214, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 3.15/3.56    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 3.15/3.56    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 3.15/3.56     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.56    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 3.15/3.57  , clause( 20215, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.57    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20216, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.57    'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20217, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 3.15/3.57     ) ) ) ] )
% 3.15/3.57  , clause( 20218, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 3.15/3.57     ) ) ) ] )
% 3.15/3.57  , clause( 20219, [ ~( 'c_HOL_Oord__class_Oless'( X, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20220, [ ~( 'c_HOL_Oord__class_Oless'( X, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20221, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X
% 3.15/3.57     ) ) ) ] )
% 3.15/3.57  , clause( 20222, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X
% 3.15/3.57     ) ) ) ] )
% 3.15/3.57  , clause( 20223, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 3.15/3.57    , X ), X ) ] )
% 3.15/3.57  , clause( 20224, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20225, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 3.15/3.57    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 3.15/3.57    X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.15/3.57  , clause( 20226, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 3.15/3.57    , Z, X ) ) ] )
% 3.15/3.57  , clause( 20227, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 3.15/3.57    X ), X ) ) ] )
% 3.15/3.57  , clause( 20228, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 3.15/3.57    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 3.15/3.57    X ), X ) ) ] )
% 3.15/3.57  , clause( 20229, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 3.15/3.57    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 3.15/3.57    X ), X ) ) ] )
% 3.15/3.57  , clause( 20230, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 3.15/3.57    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 3.15/3.57    X ), X ) ) ] )
% 3.15/3.57  , clause( 20231, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 3.15/3.57    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 3.15/3.57    X ), X ) ) ] )
% 3.15/3.57  , clause( 20232, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Y, Y, X ) ) ] )
% 3.15/3.57  , clause( 20233, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Y, Z, X ) ) ] )
% 3.15/3.57  , clause( 20234, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20235, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20236, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20237, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20238, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20239, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20240, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20241, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20242, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20243, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 3.15/3.57     ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 3.15/3.57    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20244, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 3.15/3.57     ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.15/3.57    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20245, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 3.15/3.57    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 3.15/3.57    X ), X ) ) ] )
% 3.15/3.57  , clause( 20246, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 3.15/3.57    X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20247, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 3.15/3.57    Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20248, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 3.15/3.57    Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20249, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 3.15/3.57    X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20250, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 3.15/3.57    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.57    X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20251, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 3.15/3.57    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.57    X ), T, X ) ) ] )
% 3.15/3.57  , clause( 20252, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 3.15/3.57    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20253, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 3.15/3.57    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20254, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 3.15/3.57    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Y, T, X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20255, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 3.15/3.57    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Y, T, X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20256, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 3.15/3.57    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 3.15/3.57    , Y, X ) ) ] )
% 3.15/3.57  , clause( 20257, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 3.15/3.57    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 3.15/3.57    , Z, X ) ] )
% 3.15/3.57  , clause( 20258, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 3.15/3.57    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 3.15/3.57    , Z, X ) ] )
% 3.15/3.57  , clause( 20259, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 3.15/3.57     ), X ) ) ] )
% 3.15/3.57  , clause( 20260, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 3.15/3.57    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 3.15/3.57     ), X ) ) ] )
% 3.15/3.57  , clause( 20261, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 3.15/3.57    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 3.15/3.57    , T, X ) ] )
% 3.15/3.57  , clause( 20262, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 3.15/3.57    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 3.15/3.57    , T, X ) ] )
% 3.15/3.57  , clause( 20263, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 3.15/3.57    Z, X ) ) ] )
% 3.15/3.57  , clause( 20264, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 3.15/3.57  , clause( 20265, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 3.15/3.57  , clause( 20266, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 3.15/3.57     ), X ) ) ] )
% 3.15/3.57  , clause( 20267, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 3.15/3.57     ), X ) ) ] )
% 3.15/3.57  , clause( 20268, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 3.15/3.57    , Y, X ) ) ] )
% 3.15/3.57  , clause( 20269, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 3.15/3.57    , Y, X ) ) ] )
% 3.15/3.57  , clause( 20270, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 3.15/3.57    , X ), X ) ) ] )
% 3.15/3.57  , clause( 20271, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Z, Y, X ) ) ] )
% 3.15/3.57  , clause( 20272, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 
% 3.15/3.57    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20273, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20274, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 
% 3.15/3.57    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20275, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 3.15/3.57    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 3.15/3.57    , Y, X ) ) ] )
% 3.15/3.57  , clause( 20276, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 3.15/3.57    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 3.15/3.57  , clause( 20277, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 3.15/3.57     ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 3.15/3.57     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20278, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), 
% 3.15/3.57    ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.57    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20279, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), 
% 3.15/3.57    ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.57    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20280, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 3.15/3.57    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20281, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 3.15/3.57    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Y, T, X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20282, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.15/3.57    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20283, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.15/3.57    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20284, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.15/3.57    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20285, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20286, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20287, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20288, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20289, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 3.15/3.57     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20290, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 3.15/3.57     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20291, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 3.15/3.57  , clause( 20292, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 3.15/3.57  , clause( 20293, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 3.15/3.57  , clause( 20294, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.15/3.57    , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.57    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20295, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 3.15/3.57    'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 3.15/3.57    , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20296, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.15/3.57    , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20297, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.15/3.57    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 3.15/3.57  , clause( 20298, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20299, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20300, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20301, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 3.15/3.57    'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20302, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20303, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20304, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20305, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20306, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.15/3.57    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 3.15/3.57    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20307, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.15/3.57    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 3.15/3.57    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20308, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 3.15/3.57    =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20309, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20310, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 3.15/3.57    =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20311, [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 3.15/3.57    X ) ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20312, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 3.15/3.57     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20313, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.15/3.57     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20314, [ =( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 
% 3.15/3.57    X ) ] )
% 3.15/3.57  , clause( 20315, [ =( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 
% 3.15/3.57    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ) ] )
% 3.15/3.57  , clause( 20316, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 3.15/3.57    , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 3.15/3.57  , clause( 20317, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20318, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 3.15/3.57     ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20319, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.15/3.57    , Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20320, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 3.15/3.57    , T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20321, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 3.15/3.57    , T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20322, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.15/3.57    , Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20323, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20324, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20325, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20326, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20327, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20328, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20329, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.15/3.57    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 3.15/3.57    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20330, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.15/3.57    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 3.15/3.57    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20331, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20332, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20333, [ ~( 
% 3.15/3.57    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 3.15/3.57  , clause( 20334, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20335, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20336, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.15/3.57  , clause( 20337, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 3.15/3.57  , clause( 20338, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20339, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20340, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 3.15/3.57  , clause( 20341, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 3.15/3.57  , clause( 20342, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20343, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.15/3.57    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 3.15/3.57    X ), T, X ) ) ] )
% 3.15/3.57  , clause( 20344, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20345, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.15/3.57    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20346, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.15/3.57     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20347, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20348, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20349, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.15/3.57    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20350, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20351, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20352, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20353, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20354, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.15/3.57     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20355, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20356, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 3.15/3.57    , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20357, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 3.15/3.57    , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20358, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 3.15/3.57    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20359, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 3.15/3.57  , clause( 20360, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20361, [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20362, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20363, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20364, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 3.15/3.57     ), Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ] )
% 3.15/3.57  , clause( 20365, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z
% 3.15/3.57    , X ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ] )
% 3.15/3.57  , clause( 20366, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 3.15/3.57     ), X ) ) ] )
% 3.15/3.57  , clause( 20367, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    Y, X ) ) ] )
% 3.15/3.57  , clause( 20368, [ ~( 'class_Power_Opower'( X ) ), =( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 3.15/3.57     ), X ) ) ] )
% 3.15/3.57  , clause( 20369, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 3.15/3.57     ), X ) ) ] )
% 3.15/3.57  , clause( 20370, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20371, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 3.15/3.57    , =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 3.15/3.57    Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.15/3.57  , clause( 20372, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 3.15/3.57  , clause( 20373, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 3.15/3.57    , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20374, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20375, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20376, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.15/3.57     ), Y ) ] )
% 3.15/3.57  , clause( 20377, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.15/3.57     ), Y ) ] )
% 3.15/3.57  , clause( 20378, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20379, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20380, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.15/3.57     ), Y ) ] )
% 3.15/3.57  , clause( 20381, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20382, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20383, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20384, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20385, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20386, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20387, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 3.15/3.57    =( 'c_Suc'( X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20388, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20389, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20390, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20391, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20392, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 3.15/3.57     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20393, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.15/3.57     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20394, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 3.15/3.57     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20395, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 3.15/3.57     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20396, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    Y, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20397, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 3.15/3.57  , clause( 20398, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 3.15/3.57     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20399, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 3.15/3.57     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20400, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 3.15/3.57    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.15/3.57  , clause( 20401, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 3.15/3.57     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 3.15/3.57  , clause( 20402, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 3.15/3.57    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 
% 3.15/3.57    'tc_RealDef_Oreal' ) ) ] )
% 3.15/3.57  , clause( 20403, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20404, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20405, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.15/3.57     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20406, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 3.15/3.57    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20407, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 3.15/3.57     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20408, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20409, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20410, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 3.15/3.57  , clause( 20411, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20412, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.15/3.57    , X ) ) ), =( Y, Z ) ] )
% 3.15/3.57  , clause( 20413, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.15/3.57    , X ) ) ), =( Y, Z ) ] )
% 3.15/3.57  , clause( 20414, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 3.15/3.57  , clause( 20415, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 3.15/3.57  , clause( 20416, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 3.15/3.57    ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20417, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20418, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20419, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 3.15/3.57  , clause( 20420, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20421, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20422, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20423, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20424, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20425, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 3.15/3.57    ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20426, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20427, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 3.15/3.57     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 3.15/3.57  , clause( 20428, [ =( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z, 
% 3.15/3.57    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 3.15/3.57    'tc_RealDef_Oreal' ) ) ] )
% 3.15/3.57  , clause( 20429, [ =( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), Z, 
% 3.15/3.57    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 3.15/3.57    'tc_RealDef_Oreal' ) ) ] )
% 3.15/3.57  , clause( 20430, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.15/3.57     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20431, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.15/3.57     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 3.15/3.57    Y, X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20432, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 3.15/3.57    , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20433, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 3.15/3.57    , X ) ) ] )
% 3.15/3.57  , clause( 20434, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 3.15/3.57  , clause( 20435, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 3.15/3.57    , X ) ) ] )
% 3.15/3.57  , clause( 20436, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 3.15/3.57  , clause( 20437, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20438, [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20439, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20440, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20441, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20442, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20443, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20444, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20445, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.15/3.57  , clause( 20446, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 3.15/3.57  , clause( 20447, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20448, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 3.15/3.57  , clause( 20449, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 3.15/3.57  , clause( 20450, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 3.15/3.57    , X ) ) ] )
% 3.15/3.57  , clause( 20451, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 3.15/3.57     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 3.15/3.57  , clause( 20452, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 3.15/3.57     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 3.15/3.57  , clause( 20453, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y )
% 3.15/3.57    , 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20454, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X )
% 3.15/3.57    , 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20455, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 
% 3.15/3.57    ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20456, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 3.15/3.57    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20457, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 3.15/3.57    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20458, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20459, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20460, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20461, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20462, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 3.15/3.57    , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.15/3.57    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20463, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.15/3.57     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20464, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20465, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20466, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20467, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20468, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20469, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20470, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.15/3.57    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.15/3.57  , clause( 20471, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 3.15/3.57     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 3.15/3.57  , clause( 20472, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.15/3.57    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 3.15/3.57    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 3.15/3.57  , clause( 20473, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20474, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 3.15/3.57    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20475, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 3.15/3.57    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 3.15/3.57    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.15/3.57  , clause( 20476, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 3.15/3.57     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 3.15/3.57  , clause( 20477, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 3.15/3.57  , clause( 20478, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 3.15/3.57  , clause( 20479, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20480, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 3.15/3.57    X ), T, X ) ) ] )
% 3.15/3.57  , clause( 20481, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ] )
% 3.15/3.57  , clause( 20482, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 3.15/3.57    X ), T, X ) ) ] )
% 3.15/3.57  , clause( 20483, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20484, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 3.15/3.57    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 3.15/3.57     ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20485, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ), 
% 3.15/3.57    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 
% 3.15/3.57    'tc_RealDef_Oreal' ) ) ] )
% 3.15/3.57  , clause( 20486, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 3.15/3.57    , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 
% 3.15/3.57    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ] )
% 3.15/3.57  , clause( 20487, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20488, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 3.15/3.57    Y, X ) ) ] )
% 3.15/3.57  , clause( 20489, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 3.15/3.57    Y, X ) ) ] )
% 3.15/3.57  , clause( 20490, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 3.15/3.57    Y, X ) ) ] )
% 3.15/3.57  , clause( 20491, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 3.15/3.57    Y, X ) ) ] )
% 3.15/3.57  , clause( 20492, [ ~( 
% 3.15/3.57    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Y, T, X ) ) ] )
% 3.15/3.57  , clause( 20493, [ ~( 
% 3.15/3.57    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Y, T, X ) ) ] )
% 3.15/3.57  , clause( 20494, [ ~( 
% 3.15/3.57    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 3.15/3.57    X ), X ) ) ] )
% 3.15/3.57  , clause( 20495, [ ~( 
% 3.15/3.57    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Z, T, X ) ) ] )
% 3.15/3.57  , clause( 20496, [ ~( 
% 3.15/3.57    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Z, T, X ) ) ] )
% 3.15/3.57  , clause( 20497, [ ~( 
% 3.15/3.57    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 3.15/3.57    X ), X ) ) ] )
% 3.15/3.57  , clause( 20498, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 3.15/3.57    , T ) ] )
% 3.15/3.57  , clause( 20499, [ ~( 
% 3.15/3.57    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.15/3.57  , clause( 20500, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 3.15/3.57  , clause( 20501, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20502, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 3.15/3.57  , clause( 20503, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 3.15/3.57  , clause( 20504, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 3.15/3.57    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20505, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 3.15/3.57    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20506, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 3.15/3.57    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.15/3.57    , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), 
% 3.15/3.57    =( Y, T ) ] )
% 3.15/3.57  , clause( 20507, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 3.15/3.57    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.15/3.57    , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), 
% 3.15/3.57    =( Y, T ) ] )
% 3.15/3.57  , clause( 20508, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20509, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    Y, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20510, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 3.15/3.57    X ) ) ] )
% 3.15/3.57  , clause( 20511, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, 
% 3.15/3.57    Y, X ) ) ] )
% 3.15/3.57  , clause( 20512, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, 
% 3.15/3.57    Y, X ) ) ] )
% 3.15/3.57  , clause( 20513, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.15/3.57    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 3.15/3.57  , clause( 20514, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.15/3.57  , clause( 20515, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 
% 3.15/3.57    =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X )
% 3.15/3.57    , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.15/3.57  , clause( 20516, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 3.15/3.57    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    T, Z, X ) ) ), =( Y, T ) ] )
% 3.15/3.57  , clause( 20517, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 3.15/3.57    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    Y, T, X ) ) ), =( Z, T ) ] )
% 3.15/3.57  , clause( 20518, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.15/3.57     ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 3.15/3.57  , clause( 20519, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 3.15/3.57    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 3.15/3.57    , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 3.15/3.57  , clause( 20520, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 3.15/3.57    X ), X ) ) ] )
% 3.15/3.57  , clause( 20521, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 3.15/3.57    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20522, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.15/3.57     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 3.15/3.57    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 3.15/3.57    X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 3.15/3.57  , clause( 20523, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20524, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.15/3.57     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20525, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 3.15/3.57    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 3.15/3.57     ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20526, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.15/3.57     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20527, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.15/3.57     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20528, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 3.15/3.57     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20529, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 3.15/3.57     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20530, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.15/3.57    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 3.15/3.57     ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20531, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 3.15/3.57     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 3.15/3.57    , X ), T, X ) ) ] )
% 3.15/3.57  , clause( 20532, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 3.15/3.57     ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 3.15/3.57    , T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20533, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 3.15/3.57     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 3.15/3.57    , X ), T, X ) ) ] )
% 3.15/3.57  , clause( 20534, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20535, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 3.15/3.57    T, X ), Z, X ) ) ] )
% 3.15/3.57  , clause( 20536, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 3.15/3.57    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 3.15/3.57    T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20537, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 3.15/3.57    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 3.15/3.57    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20538, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 3.15/3.57     ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 3.15/3.57  , clause( 20539, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 3.15/3.57     ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 3.15/3.57  , clause( 20540, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 3.15/3.57     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 3.15/3.57    , Y, X ) ) ] )
% 3.15/3.57  , clause( 20541, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 3.15/3.57     ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, 
% 3.15/3.57    Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 3.15/3.57  , clause( 20542, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 3.15/3.57  , clause( 20543, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 3.15/3.57     ), =( Z, Y ) ] )
% 3.15/3.57  , clause( 20544, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20545, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20546, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 3.15/3.57  , clause( 20547, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 3.15/3.57     ), =( Z, Y ) ] )
% 3.15/3.57  , clause( 20548, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 3.15/3.57     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 3.15/3.57    , Y, X ) ) ] )
% 3.15/3.57  , clause( 20549, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 3.15/3.57  , clause( 20550, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 3.15/3.57  , clause( 20551, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.15/3.57    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 3.15/3.57  , clause( 20552, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20553, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20554, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20555, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20556, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20557, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20558, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 3.15/3.57    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 3.15/3.57    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20559, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 3.15/3.57    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 3.15/3.57    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 3.15/3.57  , clause( 20560, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Z, Y, X ) ) ] )
% 3.15/3.57  , clause( 20561, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    Z, Y, X ) ) ] )
% 3.15/3.57  , clause( 20562, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 3.15/3.57    , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 3.15/3.57  , clause( 20563, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 3.15/3.57    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.15/3.57  , clause( 20564, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.15/3.57    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20565, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 3.15/3.57    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20566, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 3.15/3.57    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.15/3.57    , X ) ) ] )
% 3.15/3.57  , clause( 20567, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.15/3.57    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20568, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 3.15/3.57    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20569, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 3.15/3.57    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.15/3.57    , X ) ) ] )
% 3.15/3.57  , clause( 20570, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, 
% 3.15/3.57    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 3.15/3.57    , X ) ) ] )
% 3.15/3.57  , clause( 20571, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 3.15/3.57    X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 3.15/3.57    , X ) ) ] )
% 3.15/3.57  , clause( 20572, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 3.15/3.57    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, 
% 3.15/3.57    X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 3.15/3.57    , X ) ) ] )
% 3.15/3.57  , clause( 20573, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 3.15/3.57     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 3.15/3.57  , clause( 20574, [ 'v_thesis____', ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 3.15/3.57    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20575, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 3.15/3.57  , clause( 20576, [ 'c_HOL_Oord__class_Oless'( 'v_m____', 'v_na____', 
% 3.15/3.57    'tc_nat' ) ] )
% 3.15/3.57  , clause( 20577, [ ~( =( 'v_m____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20578, [ 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 'v_m____', 'tc_Complex_Ocomplex'
% 3.15/3.57     ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 3.15/3.57    'tc_RealDef_Oreal' ), =( 'v_m____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 3.15/3.57     ) ), ~( 'c_HOL_Oord__class_Oless'( 'v_m____', 'v_na____', 'tc_nat' ) ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20579, [ ~( 'v_thesis____' ) ] )
% 3.15/3.57  , clause( 20580, [ 'v_thesis____', ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 3.15/3.57    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20581, [ 
% 3.15/3.57    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20582, [ 
% 3.15/3.57    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20583, [ 
% 3.15/3.57    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20584, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    'tc_nat' ) ] )
% 3.15/3.57  , clause( 20585, [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 3.15/3.57    'tc_nat' ) ] )
% 3.15/3.57  , clause( 20586, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 3.15/3.57    'tc_nat' ) ] )
% 3.15/3.57  , clause( 20587, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20588, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20589, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20590, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20591, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20592, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20593, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20594, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20595, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20596, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20597, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20598, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20599, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20600, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20601, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20602, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20603, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20604, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20605, [ 'class_Power_Opower'( 'tc_nat' ) ] )
% 3.15/3.57  , clause( 20606, [ 
% 3.15/3.57    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20607, [ 
% 3.15/3.57    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20608, [ 
% 3.15/3.57    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20609, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20610, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20611, [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20612, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20613, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20614, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20615, [ 'class_RealVector_Oreal__normed__div__algebra'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20616, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20617, [ 'class_OrderedGroup_Olordered__ab__group__add'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20618, [ 'class_OrderedGroup_Oordered__ab__group__add'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20619, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20620, [ 'class_RealVector_Oreal__normed__algebra__1'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20621, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20622, [ 'class_Ring__and__Field_Odivision__by__zero'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20623, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20624, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20625, [ 'class_RealVector_Oreal__normed__algebra'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20626, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20627, [ 'class_RealVector_Oreal__normed__vector'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20628, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20629, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20630, [ 'class_Ring__and__Field_Oordered__field'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20631, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20632, [ 'class_RealVector_Oreal__normed__field'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20633, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20634, [ 'class_Ring__and__Field_Ozero__neq__one'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20635, [ 'class_Ring__and__Field_Oordered__idom'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20636, [ 'class_Ring__and__Field_Osemiring__0'( 
% 3.15/3.57    'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20637, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20638, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20639, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20640, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20641, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20642, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20643, [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20644, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20645, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20646, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 3.15/3.57     )
% 3.15/3.57  , clause( 20647, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20648, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20649, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20650, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20651, [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 20652, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20653, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20654, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20655, [ 'class_RealVector_Oreal__normed__div__algebra'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20656, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20657, [ 'class_RealVector_Oreal__normed__algebra__1'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20658, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20659, [ 'class_Ring__and__Field_Odivision__by__zero'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20660, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20661, [ 'class_RealVector_Oreal__normed__algebra'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20662, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20663, [ 'class_RealVector_Oreal__normed__vector'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20664, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20665, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20666, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20667, [ 'class_RealVector_Oreal__normed__field'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20668, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20669, [ 'class_Ring__and__Field_Ozero__neq__one'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20670, [ 'class_Ring__and__Field_Osemiring__0'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20671, [ 'class_OrderedGroup_Oab__group__add'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20672, [ 'class_Ring__and__Field_Omult__zero'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20673, [ 'class_OrderedGroup_Omonoid__mult'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20674, [ 'class_Ring__and__Field_Osemiring'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20675, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20676, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20677, [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex'
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20678, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20679, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20680, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20681, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  , clause( 20682, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 3.15/3.57  ] ).
% 3.15/3.57  
% 3.15/3.57  
% 3.15/3.57  
% 3.15/3.57  subsumption(
% 3.15/3.57  clause( 299, [ 'c_HOL_Oord__class_Oless'( 'v_m____', 'v_na____', 'tc_nat' )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 20576, [ 'c_HOL_Oord__class_Oless'( 'v_m____', 'v_na____', 
% 3.15/3.57    'tc_nat' ) ] )
% 3.15/3.57  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.57  
% 3.15/3.57  
% 3.15/3.57  eqswap(
% 3.15/3.57  clause( 21553, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____' )
% 3.15/3.57     ) ] )
% 3.15/3.57  , clause( 20577, [ ~( =( 'v_m____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , 0, substitution( 0, [] )).
% 3.15/3.57  
% 3.15/3.57  
% 3.15/3.57  subsumption(
% 3.15/3.57  clause( 300, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____' ) )
% 3.15/3.57     ] )
% 3.15/3.57  , clause( 21553, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____'
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.57  
% 3.15/3.57  
% 3.15/3.57  resolution(
% 3.15/3.57  clause( 21994, [ 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 'v_m____', 'tc_Complex_Ocomplex'
% 3.15/3.57     ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 3.15/3.57    'tc_RealDef_Oreal' ), =( 'v_m____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 3.15/3.57     ) ) ] )
% 3.15/3.57  , clause( 20578, [ 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( 
% 3.15/3.57    'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 'v_m____', 'tc_Complex_Ocomplex'
% 3.15/3.57     ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 3.15/3.57    'tc_RealDef_Oreal' ), =( 'v_m____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 3.15/3.57     ) ), ~( 'c_HOL_Oord__class_Oless'( 'v_m____', 'v_na____', 'tc_nat' ) ) ]
% 3.15/3.57     )
% 3.15/3.57  , 2, clause( 299, [ 'c_HOL_Oord__class_Oless'( 'v_m____', 'v_na____', 
% 3.15/3.57    'tc_nat' ) ] )
% 3.15/3.57  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.15/3.57  
% 3.15/3.57  
% 3.15/3.57  eqswap(
% 3.15/3.57  clause( 21995, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____' ), 
% 3.15/3.57    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 3.15/3.57    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 
% 3.15/3.57    'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'( 'v_b', 
% 3.15/3.57    'c_Power_Opower__class_Opower'( 'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 
% 3.15/3.57    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.15/3.57  , clause( 21994, [ 'c_HOL_Oord__class_Oless'( 
% 3.15/3.57    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.57    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( 
% 3.15/3.58    'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 'v_m____', 'tc_Complex_Ocomplex'
% 3.15/3.58     ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 3.15/3.58    'tc_RealDef_Oreal' ), =( 'v_m____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 3.15/3.58     ) ) ] )
% 3.15/3.58  , 1, substitution( 0, [] )).
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  subsumption(
% 3.15/3.58  clause( 301, [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 3.15/3.58    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'( 'v_b', 
% 3.15/3.58    'c_Power_Opower__class_Opower'( 'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 
% 3.15/3.58    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( 
% 3.15/3.58    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____' ) ] )
% 3.15/3.58  , clause( 21995, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____' ), 
% 3.15/3.58    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 3.15/3.58    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'( 'v_b', 
% 3.15/3.58    'c_Power_Opower__class_Opower'( 'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 
% 3.15/3.58    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.15/3.58  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.15/3.58     ).
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  subsumption(
% 3.15/3.58  clause( 302, [ ~( 'v_thesis____' ) ] )
% 3.15/3.58  , clause( 20579, [ ~( 'v_thesis____' ) ] )
% 3.15/3.58  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  resolution(
% 3.15/3.58  clause( 22870, [ ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.58    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 3.15/3.58    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.15/3.58     )
% 3.15/3.58  , clause( 302, [ ~( 'v_thesis____' ) ] )
% 3.15/3.58  , 0, clause( 20574, [ 'v_thesis____', ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.58    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 3.15/3.58    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.15/3.58     )
% 3.15/3.58  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  subsumption(
% 3.15/3.58  clause( 303, [ ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.58    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 3.15/3.58    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.15/3.58     )
% 3.15/3.58  , clause( 22870, [ ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.58    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 3.15/3.58    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.15/3.58     )
% 3.15/3.58  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  resolution(
% 3.15/3.58  clause( 22873, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____' ) ]
% 3.15/3.58     )
% 3.15/3.58  , clause( 303, [ ~( 'c_HOL_Oord__class_Oless'( 
% 3.15/3.58    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( X, 
% 3.15/3.58    'v_m____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.15/3.58     )
% 3.15/3.58  , 0, clause( 301, [ 'c_HOL_Oord__class_Oless'( 
% 3.15/3.58    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( 
% 3.15/3.58    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'c_HOL_Otimes__class_Otimes'( 'v_b', 'c_Power_Opower__class_Opower'( 
% 3.15/3.58    'v_sko__CHAINED__1'( 'v_b', 'v_m____' ), 'v_m____', 'tc_Complex_Ocomplex'
% 3.15/3.58     ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 
% 3.15/3.58    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 3.15/3.58    'tc_RealDef_Oreal' ), =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 3.15/3.58    'v_m____' ) ] )
% 3.15/3.58  , 0, substitution( 0, [ :=( X, 'v_sko__CHAINED__1'( 'v_b', 'v_m____' ) )] )
% 3.15/3.58    , substitution( 1, [] )).
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  resolution(
% 3.15/3.58  clause( 22874, [] )
% 3.15/3.58  , clause( 300, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____' )
% 3.15/3.58     ) ] )
% 3.15/3.58  , 0, clause( 22873, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m____'
% 3.15/3.58     ) ] )
% 3.15/3.58  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  subsumption(
% 3.15/3.58  clause( 20203, [] )
% 3.15/3.58  , clause( 22874, [] )
% 3.15/3.58  , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  end.
% 3.15/3.58  
% 3.15/3.58  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.15/3.58  
% 3.15/3.58  Memory use:
% 3.15/3.58  
% 3.15/3.58  space for terms:        611141
% 3.15/3.58  space for clauses:      885201
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  clauses generated:      100091
% 3.15/3.58  clauses kept:           20204
% 3.15/3.58  clauses selected:       595
% 3.15/3.58  clauses deleted:        526
% 3.15/3.58  clauses inuse deleted:  0
% 3.15/3.58  
% 3.15/3.58  subsentry:          246892
% 3.15/3.58  literals s-matched: 153198
% 3.15/3.58  literals matched:   137014
% 3.15/3.58  full subsumption:   78778
% 3.15/3.58  
% 3.15/3.58  checksum:           2075991557
% 3.15/3.58  
% 3.15/3.58  
% 3.15/3.58  Bliksem ended
%------------------------------------------------------------------------------