Bliksem---1.12.UNS-Ref.s

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : ALG436-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.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 12:10:56 EDT 2022

% Result   : Unsatisfiable 2.59s 2.96s
% Output   : Refutation 2.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG436-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Wed Jun  8 09:55:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.81/1.22  *** allocated 10000 integers for termspace/termends
% 0.81/1.22  *** allocated 10000 integers for clauses
% 0.81/1.22  *** allocated 10000 integers for justifications
% 0.81/1.22  Bliksem 1.12
% 0.81/1.22  
% 0.81/1.22  
% 0.81/1.22  Automatic Strategy Selection
% 0.81/1.22  
% 0.81/1.22  Clauses:
% 0.81/1.22  [
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.81/1.22    , X ) ) ), =( Y, Z ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.22    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.22    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.22     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.81/1.22    , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.81/1.22    , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.81/1.22    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.81/1.22    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.22     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.22    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.81/1.22    , X ) ) ), =( Y, Z ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.81/1.22    Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.81/1.22    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.81/1.22    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.81/1.22    , Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 0.81/1.22    X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.81/1.22     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 0.81/1.22    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( T, U, X ), X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.81/1.22     ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.81/1.22     ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.81/1.22    , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.81/1.22    , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 0.81/1.22    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.81/1.22     ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.81/1.22    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.81/1.22    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.81/1.22    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.81/1.22    , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.81/1.22    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.81/1.22     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.81/1.22    Y, X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.81/1.22    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.81/1.22    Y, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.81/1.22     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.81/1.22     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.81/1.22    Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'( 
% 0.81/1.22    Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.81/1.22    X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.81/1.22    X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.81/1.22    T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.81/1.22    X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.81/1.22    T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.81/1.22    X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.81/1.22    T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.81/1.22    X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 0.81/1.22    T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 
% 0.81/1.22    Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ), 
% 0.81/1.22    Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.81/1.22     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22     ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, 
% 0.81/1.22    Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 0.81/1.22    T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.22    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'( 
% 0.81/1.22    X ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.81/1.22     ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.81/1.22    Y, X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.81/1.22    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.81/1.22    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.81/1.22    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.81/1.22    X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.81/1.22    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.81/1.22    X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.81/1.22    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.81/1.22    X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.81/1.22    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.81/1.22    X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    Y, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.81/1.22    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.81/1.22    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.81/1.22    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 0.81/1.22    Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.81/1.22    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 0.81/1.22    X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_Rational_Orat' ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 0.81/1.22    'tc_Rational_Orat' ), 'tc_Rational_Orat' ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 0.81/1.22    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 0.81/1.22    Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.81/1.22    , T, X ), X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.81/1.22    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.81/1.22    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.81/1.22    , X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.81/1.22    , X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.81/1.22    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.81/1.22    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ), 
% 0.81/1.22    'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ), 
% 0.81/1.22    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.81/1.22     ), Y ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.81/1.22     ), X ), Y ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.22    , Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.22    , Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.81/1.22    , T, X ), X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.81/1.22     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.81/1.22    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.81/1.22     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.81/1.22     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.81/1.22    , T, X ) ) ), =( Z, T ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.81/1.22    , T, X ) ) ), =( Y, Z ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.81/1.22    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    Y, Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.81/1.22    , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( 
% 0.81/1.22    Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.81/1.22     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.81/1.22     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.81/1.22     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.81/1.22     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ), =( Y, Z ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ), =( Y, Z ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.81/1.22    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.81/1.22    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.81/1.22    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.81/1.22    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.81/1.22    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.81/1.22    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.81/1.22    , U, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.81/1.22    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.81/1.22    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.81/1.22    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.81/1.22    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.81/1.22    X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.81/1.22     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.81/1.22    , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.81/1.22    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.22    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.22    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.81/1.22    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    Y, T, X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.81/1.22    , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.81/1.22    , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.81/1.22    X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 0.81/1.22    'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ), 
% 0.81/1.22    'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22     ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.81/1.22     ), Y ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.81/1.22    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.81/1.22    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22     ), Y ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22     ), Y ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22     ), Y ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.81/1.22     ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.81/1.22    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.81/1.22    X ) ) ), =( Z, T ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.81/1.22    X ) ) ), =( Z, T ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.81/1.22    X ) ) ), =( Y, T ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.81/1.22    , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.81/1.22    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.81/1.22     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.81/1.22    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.81/1.22    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.81/1.22    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.81/1.22    , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.81/1.22    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 0.81/1.22    W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 0.81/1.22    W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.81/1.22    , X ), W, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 0.81/1.22    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.81/1.22     ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.81/1.22    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.81/1.22    , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z, 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.81/1.22    , T, X ), X ), T, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.81/1.22    Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( 
% 0.81/1.22    Y, Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.81/1.22     ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.81/1.22     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.81/1.22    , X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.81/1.22    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.81/1.22     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ), 
% 0.81/1.22    Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.22     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.22     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.81/1.22    T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y, 
% 0.81/1.22    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.81/1.22    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.81/1.22    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.81/1.22    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.81/1.22    , X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.81/1.22     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.81/1.22    Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.81/1.22    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 0.81/1.22    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.81/1.22    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T, 
% 0.81/1.22    X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.81/1.22    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.81/1.22    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.81/1.22    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.81/1.22     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.81/1.22     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.81/1.22    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T, 
% 0.81/1.22    X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.81/1.22    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 0.81/1.22    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 0.81/1.22    X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Rational_Orat' ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oinverse__class_Oinverse'( Y, 
% 0.81/1.22    'tc_Rational_Orat' ), 'tc_Rational_Orat' ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.81/1.22    Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( 
% 0.81/1.22    Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.81/1.22    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.81/1.22    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.81/1.22    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 0.81/1.22    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 0.81/1.22    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.81/1.22    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.81/1.22    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.81/1.22    , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.81/1.22    , X ), X ), Y ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22     ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.81/1.22    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.81/1.22    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.81/1.22    , X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.81/1.22    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.81/1.22    , X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.81/1.22    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.81/1.22     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.81/1.22    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 0.81/1.22    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.81/1.22    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.81/1.22    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 0.81/1.22    X ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.81/1.22    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 0.81/1.22    X ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.81/1.22     ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.81/1.22     ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.81/1.22     ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.81/1.22     ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.81/1.22    Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 0.81/1.22    Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22    , X ) ],
% 0.81/1.22     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_p_H', 
% 0.81/1.22    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 0.81/1.22    T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 0.81/1.22    Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.81/1.22    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y, 
% 0.81/1.22    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.81/1.22    , X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.81/1.22    , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.81/1.22    , X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 0.81/1.22    Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 0.81/1.22    Z, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.81/1.22    , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 0.81/1.22    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.81/1.22    , X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.81/1.22    , X ), Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.22    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.22    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 0.81/1.22    X ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.81/1.22    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.81/1.22    , T, X ), X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.81/1.22    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.81/1.22    , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.81/1.22    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.22    , Y, X ), X ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.81/1.22    , Z, X ), X ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.81/1.22    , Z, X ), X ) ],
% 0.81/1.22     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_Polynomial_Osmult'( Y, Z
% 0.81/1.22    , 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' )
% 0.81/1.22     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_Polynomial_Opoly'( 
% 0.81/1.22    'tc_Complex_Ocomplex' ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, 
% 0.81/1.22    X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.81/1.22     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22     ) ],
% 0.81/1.22     [ =( 'c_HOL_Ominus__class_Ominus'( 'v_q', 'v_r', 'tc_Rational_Orat' ), 
% 0.81/1.22    'c_HOL_Oplus__class_Oplus'( 'v_q', 'c_HOL_Ouminus__class_Ouminus'( 'v_r'
% 0.81/1.22    , 'tc_Rational_Orat' ), 'tc_Rational_Orat' ) ) ],
% 0.81/1.22     [ =( 'c_HOL_Oinverse__class_Odivide'( 'v_q', 'v_r', 'tc_Rational_Orat' )
% 0.81/1.22    , 'c_HOL_Otimes__class_Otimes'( 'v_q', 'c_HOL_Oinverse__class_Oinverse'( 
% 0.81/1.22    'v_r', 'tc_Rational_Orat' ), 'tc_Rational_Orat' ) ) ],
% 0.81/1.22     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.81/1.22    , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.81/1.22     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 0.81/1.22    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 0.81/1.22    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.81/1.22     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 0.81/1.22    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 0.81/1.22    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.81/1.22     [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 0.81/1.22    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ), ~( 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 0.81/1.22    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.81/1.22     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 0.81/1.22    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 
% 0.81/1.22    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 0.81/1.22    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'( 
% 0.81/1.22    X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.81/1.22     ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Rational_Orat' )
% 0.81/1.22     ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 0.81/1.22    'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 0.81/1.22    'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Rational_Orat'
% 0.81/1.22     ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Rational_Orat' )
% 0.81/1.22     ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Rational_Orat' )
% 0.81/1.22     ],
% 0.81/1.22     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Rational_Orat' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Rational_Orat' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Rational_Orat' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Rational_Orat' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Rational_Orat' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Rational_Orat' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oordered__field'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Osemiring'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring__1'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ofield'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oidom'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Odvd'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Int_Onumber__ring'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Power_Opower'( 'tc_Rational_Orat' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 0.81/1.22    'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 0.81/1.22    'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 0.81/1.22    'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.81/1.22     ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.81/1.22     ],
% 0.81/1.22     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.81/1.22     ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 0.81/1.22    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 0.81/1.22    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 0.81/1.22    X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 0.81/1.22    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.81/1.22    ,
% 0.81/1.22     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 0.81/1.22    'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'( 
% 0.81/1.22    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'( 
% 0.81/1.22    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.81/1.22     ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.81/1.22     ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.81/1.22     ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.81/1.22     ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.81/1.22     ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.81/1.22    , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ), 
% 0.81/1.22    ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ), 
% 0.81/1.22    ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ), 
% 0.81/1.22    ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.81/1.22     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.81/1.22     [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.81/1.22     [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.81/1.22     [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 0.81/1.22    'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.81/1.22     [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.17/2.59    'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 2.17/2.59     [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.17/2.59    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ]
% 2.17/2.59  ] .
% 2.17/2.59  
% 2.17/2.59  
% 2.17/2.59  percentage equality = 0.386254, percentage horn = 0.878378
% 2.17/2.59  This is a problem with some equality
% 2.17/2.59  
% 2.17/2.59  
% 2.17/2.59  
% 2.17/2.59  Options Used:
% 2.17/2.59  
% 2.17/2.59  useres =            1
% 2.17/2.59  useparamod =        1
% 2.17/2.59  useeqrefl =         1
% 2.17/2.59  useeqfact =         1
% 2.17/2.59  usefactor =         1
% 2.17/2.59  usesimpsplitting =  0
% 2.17/2.59  usesimpdemod =      5
% 2.17/2.59  usesimpres =        3
% 2.17/2.59  
% 2.17/2.59  resimpinuse      =  1000
% 2.17/2.59  resimpclauses =     20000
% 2.17/2.59  substype =          eqrewr
% 2.17/2.59  backwardsubs =      1
% 2.17/2.59  selectoldest =      5
% 2.17/2.59  
% 2.17/2.59  litorderings [0] =  split
% 2.17/2.59  litorderings [1] =  extend the termordering, first sorting on arguments
% 2.17/2.59  
% 2.17/2.59  termordering =      kbo
% 2.17/2.59  
% 2.17/2.59  litapriori =        0
% 2.17/2.59  termapriori =       1
% 2.17/2.59  litaposteriori =    0
% 2.17/2.59  termaposteriori =   0
% 2.17/2.59  demodaposteriori =  0
% 2.17/2.59  ordereqreflfact =   0
% 2.17/2.59  
% 2.17/2.59  litselect =         negord
% 2.17/2.59  
% 2.17/2.59  maxweight =         15
% 2.17/2.59  maxdepth =          30000
% 2.17/2.59  maxlength =         115
% 2.17/2.59  maxnrvars =         195
% 2.17/2.59  excuselevel =       1
% 2.17/2.59  increasemaxweight = 1
% 2.17/2.59  
% 2.17/2.59  maxselected =       10000000
% 2.17/2.59  maxnrclauses =      10000000
% 2.17/2.59  
% 2.17/2.59  showgenerated =    0
% 2.17/2.59  showkept =         0
% 2.17/2.59  showselected =     0
% 2.17/2.59  showdeleted =      0
% 2.17/2.59  showresimp =       1
% 2.17/2.59  showstatus =       2000
% 2.17/2.59  
% 2.17/2.59  prologoutput =     1
% 2.17/2.59  nrgoals =          5000000
% 2.17/2.59  totalproof =       1
% 2.17/2.59  
% 2.17/2.59  Symbols occurring in the translation:
% 2.17/2.59  
% 2.17/2.59  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 2.17/2.59  .  [1, 2]      (w:1, o:99, a:1, s:1, b:0), 
% 2.17/2.59  !  [4, 1]      (w:0, o:47, a:1, s:1, b:0), 
% 2.17/2.59  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 2.17/2.59  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 2.17/2.59  'class_OrderedGroup_Ogroup__add'  [40, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 2.17/2.59    
% 2.17/2.59  'c_HOL_Ouminus__class_Ouminus'  [42, 2]      (w:1, o:124, a:1, s:1, b:0), 
% 2.17/2.59  'class_Ring__and__Field_Ofield'  [44, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 2.17/2.59  'c_HOL_Ozero__class_Ozero'  [46, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 2.17/2.59  'c_HOL_Otimes__class_Otimes'  [47, 3]      (w:1, o:127, a:1, s:1, b:0), 
% 2.17/2.59  'c_HOL_Oinverse__class_Odivide'  [48, 3]      (w:1, o:128, a:1, s:1, b:0), 
% 2.17/2.59    
% 2.17/2.59  'class_Ring__and__Field_Odivision__by__zero'  [49, 1]      (w:1, o:60, a:1
% 2.17/2.59    , s:1, b:0), 
% 2.17/2.59  'class_Ring__and__Field_Ocomm__semiring__1'  [50, 1]      (w:1, o:58, a:1
% 2.17/2.59    , s:1, b:0), 
% 2.17/2.59  'class_Divides_Osemiring__div'  [55, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 2.17/2.59  'c_Divides_Odiv__class_Odiv'  [56, 3]      (w:1, o:129, a:1, s:1, b:0), 
% 2.17/2.59  'class_Ring__and__Field_Ozero__neq__one'  [57, 1]      (w:1, o:63, a:1, s:1
% 2.17/2.59    , b:0), 
% 2.17/2.59  'c_HOL_Oone__class_Oone'  [58, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 2.17/2.59  'class_Ring__and__Field_Oring__no__zero__divisors'  [59, 1]      (w:1, o:65
% 2.17/2.59    , a:1, s:1, b:0), 
% 2.17/2.59  'class_Ring__and__Field_Ono__zero__divisors'  [60, 1]      (w:1, o:67, a:1
% 2.17/2.59    , s:1, b:0), 
% 2.17/2.59  'c_HOL_Ominus__class_Ominus'  [61, 3]      (w:1, o:130, a:1, s:1, b:0), 
% 2.17/2.59  'class_RealVector_Oreal__normed__field'  [62, 1]      (w:1, o:68, a:1, s:1
% 2.17/2.59    , b:0), 
% 2.17/2.59  'class_OrderedGroup_Olordered__ab__group__add'  [66, 1]      (w:1, o:69, a:
% 2.17/2.59    1, s:1, b:0), 
% 2.17/2.59  'c_HOL_Oplus__class_Oplus'  [67, 3]      (w:1, o:131, a:1, s:1, b:0), 
% 2.17/2.59  'class_OrderedGroup_Oab__group__add'  [68, 1]      (w:1, o:70, a:1, s:1, b:
% 2.17/2.59    0), 
% 2.17/2.59  'class_Ring__and__Field_Oidom'  [69, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 2.17/2.59  'class_Int_Onumber__ring'  [70, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 2.17/2.59  'class_Lattices_Oboolean__algebra'  [71, 1]      (w:1, o:73, a:1, s:1, b:0)
% 2.17/2.59    , 
% 2.17/2.59  'c_Power_Opower__class_Opower'  [73, 3]      (w:1, o:132, a:1, s:1, b:0), 
% 2.17/2.59  'c_Ring__and__Field_Odvd__class_Odvd'  [74, 3]      (w:1, o:133, a:1, s:1
% 2.17/2.59    , b:0), 
% 2.17/2.59  'class_Ring__and__Field_Oordered__idom'  [75, 1]      (w:1, o:74, a:1, s:1
% 2.17/2.59    , b:0), 
% 2.17/2.59  'c_HOL_Oabs__class_Oabs'  [76, 2]      (w:1, o:125, a:1, s:1, b:0), 
% 2.17/2.59  'class_Ring__and__Field_Oring'  [79, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 2.17/2.59  'class_OrderedGroup_Oab__semigroup__idem__mult'  [80, 1]      (w:1, o:76
% 2.17/2.59    , a:1, s:1, b:0), 
% 2.17/2.59  'class_Ring__and__Field_Omult__zero'  [81, 1]      (w:1, o:66, a:1, s:1, b:
% 2.17/2.59    0), 
% 2.17/2.59  'class_Power_Opower'  [82, 1]      (w:1, o:88, a:1, s:1, b:0), 
% 2.17/2.59  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [83, 1]      (w:1
% 2.17/2.59    , o:89, a:1, s:1, b:0), 
% 2.17/2.59  'c_Divides_Odiv__class_Omod'  [84, 3]      (w:1, o:134, a:1, s:1, b:0), 
% 2.59/2.96  'c_HOL_Oinverse__class_Oinverse'  [85, 2]      (w:1, o:126, a:1, s:1, b:0)
% 2.59/2.96    , 
% 2.59/2.96  'class_Ring__and__Field_Oordered__ring__strict'  [89, 1]      (w:1, o:90
% 2.59/2.96    , a:1, s:1, b:0), 
% 2.59/2.96  'class_Ring__and__Field_Odivision__ring'  [90, 1]      (w:1, o:91, a:1, s:1
% 2.59/2.96    , b:0), 
% 2.59/2.96  'class_OrderedGroup_Ocomm__monoid__mult'  [92, 1]      (w:1, o:77, a:1, s:1
% 2.59/2.96    , b:0), 
% 2.59/2.96  'class_Ring__and__Field_Odvd'  [93, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 2.59/2.96  'class_Ring__and__Field_Ocomm__ring'  [94, 1]      (w:1, o:55, a:1, s:1, b:
% 2.59/2.96    0), 
% 2.59/2.96  'class_Divides_Oring__div'  [98, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 2.59/2.96  'class_OrderedGroup_Oab__semigroup__mult'  [99, 1]      (w:1, o:78, a:1, s:
% 2.59/2.96    1, b:0), 
% 2.59/2.96  'class_RealVector_Oreal__normed__algebra'  [100, 1]      (w:1, o:93, a:1
% 2.59/2.96    , s:1, b:0), 
% 2.59/2.96  'class_Ring__and__Field_Ocomm__semiring'  [104, 1]      (w:1, o:59, a:1, s:
% 2.59/2.96    1, b:0), 
% 2.59/2.96  'c_Polynomial_Osmult'  [106, 3]      (w:1, o:135, a:1, s:1, b:0), 
% 2.59/2.96  'tc_Polynomial_Opoly'  [107, 1]      (w:1, o:94, a:1, s:1, b:0), 
% 2.59/2.96  'class_OrderedGroup_Opordered__ab__group__add__abs'  [108, 1]      (w:1, o:
% 2.59/2.96    80, a:1, s:1, b:0), 
% 2.59/2.96  'class_OrderedGroup_Oordered__ab__group__add'  [109, 1]      (w:1, o:79, a:
% 2.59/2.96    1, s:1, b:0), 
% 2.59/2.96  'tc_Rational_Orat'  [111, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 2.59/2.96  'class_OrderedGroup_Omonoid__mult'  [113, 1]      (w:1, o:81, a:1, s:1, b:0
% 2.59/2.96    ), 
% 2.59/2.96  'c_Polynomial_Opoly__gcd'  [114, 3]      (w:1, o:136, a:1, s:1, b:0), 
% 2.59/2.96  'class_OrderedGroup_Ocomm__monoid__add'  [115, 1]      (w:1, o:82, a:1, s:1
% 2.59/2.96    , b:0), 
% 2.59/2.96  'class_OrderedGroup_Oab__semigroup__add'  [116, 1]      (w:1, o:83, a:1, s:
% 2.59/2.96    1, b:0), 
% 2.59/2.96  'class_Ring__and__Field_Osemiring'  [119, 1]      (w:1, o:96, a:1, s:1, b:0
% 2.59/2.96    ), 
% 2.59/2.96  'class_Ring__and__Field_Oordered__field'  [120, 1]      (w:1, o:97, a:1, s:
% 2.59/2.96    1, b:0), 
% 2.59/2.96  'class_Ring__and__Field_Ocomm__semiring__0'  [121, 1]      (w:1, o:57, a:1
% 2.59/2.96    , s:1, b:0), 
% 2.59/2.96  'class_OrderedGroup_Omonoid__add'  [122, 1]      (w:1, o:84, a:1, s:1, b:0)
% 2.59/2.96    , 
% 2.59/2.96  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [123, 1]      (w:1, o:85
% 2.59/2.96    , a:1, s:1, b:0), 
% 2.59/2.96  'class_OrderedGroup_Ocancel__semigroup__add'  [124, 1]      (w:1, o:86, a:1
% 2.59/2.96    , s:1, b:0), 
% 2.59/2.96  'class_RealVector_Oreal__field'  [126, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 2.59/2.96    
% 2.59/2.96  'class_Ring__and__Field_Oring__1'  [127, 1]      (w:1, o:95, a:1, s:1, b:0)
% 2.59/2.96    , 
% 2.59/2.96  'v_p'  [129, 0]      (w:1, o:41, a:1, s:1, b:0), 
% 2.59/2.96  'v_p_H'  [130, 0]      (w:1, o:42, a:1, s:1, b:0), 
% 2.59/2.96  'tc_Complex_Ocomplex'  [131, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 2.59/2.96  'class_Ring__and__Field_Ocomm__ring__1'  [132, 1]      (w:1, o:56, a:1, s:1
% 2.59/2.96    , b:0), 
% 2.59/2.96  'v_q'  [133, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 2.59/2.96  'v_r'  [134, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 2.59/2.96  'class_OrderedGroup_Ocancel__comm__monoid__add'  [136, 1]      (w:1, o:87
% 2.59/2.96    , a:1, s:1, b:0).
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Starting Search:
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Intermediate Status:
% 2.59/2.96  Generated:    6907
% 2.59/2.96  Kept:         2107
% 2.59/2.96  Inuse:        103
% 2.59/2.96  Deleted:      3
% 2.59/2.96  Deletedinuse: 0
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Intermediate Status:
% 2.59/2.96  Generated:    12581
% 2.59/2.96  Kept:         4111
% 2.59/2.96  Inuse:        170
% 2.59/2.96  Deleted:      4
% 2.59/2.96  Deletedinuse: 0
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Intermediate Status:
% 2.59/2.96  Generated:    27705
% 2.59/2.96  Kept:         6379
% 2.59/2.96  Inuse:        212
% 2.59/2.96  Deleted:      4
% 2.59/2.96  Deletedinuse: 0
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Intermediate Status:
% 2.59/2.96  Generated:    44300
% 2.59/2.96  Kept:         8381
% 2.59/2.96  Inuse:        245
% 2.59/2.96  Deleted:      5
% 2.59/2.96  Deletedinuse: 0
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Intermediate Status:
% 2.59/2.96  Generated:    57471
% 2.59/2.96  Kept:         10838
% 2.59/2.96  Inuse:        296
% 2.59/2.96  Deleted:      5
% 2.59/2.96  Deletedinuse: 0
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Intermediate Status:
% 2.59/2.96  Generated:    71161
% 2.59/2.96  Kept:         12953
% 2.59/2.96  Inuse:        361
% 2.59/2.96  Deleted:      5
% 2.59/2.96  Deletedinuse: 0
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Intermediate Status:
% 2.59/2.96  Generated:    82919
% 2.59/2.96  Kept:         15464
% 2.59/2.96  Inuse:        396
% 2.59/2.96  Deleted:      5
% 2.59/2.96  Deletedinuse: 0
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Intermediate Status:
% 2.59/2.96  Generated:    105700
% 2.59/2.96  Kept:         17643
% 2.59/2.96  Inuse:        420
% 2.59/2.96  Deleted:      6
% 2.59/2.96  Deletedinuse: 0
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  Intermediate Status:
% 2.59/2.96  Generated:    121720
% 2.59/2.96  Kept:         19842
% 2.59/2.96  Inuse:        455
% 2.59/2.96  Deleted:      6
% 2.59/2.96  Deletedinuse: 0
% 2.59/2.96  
% 2.59/2.96  Resimplifying inuse:
% 2.59/2.96  Done
% 2.59/2.96  
% 2.59/2.96  Resimplifying clauses:
% 2.59/2.96  
% 2.59/2.96  Bliksems!, er is een bewijs:
% 2.59/2.96  % SZS status Unsatisfiable
% 2.59/2.96  % SZS output start Refutation
% 2.59/2.96  
% 2.59/2.96  clause( 311, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.96    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.96    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.96  .
% 2.59/2.96  clause( 312, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.96    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.96    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.96  .
% 2.59/2.96  clause( 313, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.96    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.96  .
% 2.59/2.96  clause( 314, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.96    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.96  .
% 2.59/2.96  clause( 20408, [] )
% 2.59/2.96  .
% 2.59/2.96  
% 2.59/2.96  
% 2.59/2.96  % SZS output end Refutation
% 2.59/2.96  found a proof!
% 2.59/2.96  
% 2.59/2.96  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.59/2.96  
% 2.59/2.96  initialclauses(
% 2.59/2.96  [ clause( 20410, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 2.59/2.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 2.59/2.96    , X ) ) ), =( Y, Z ) ] )
% 2.59/2.96  , clause( 20411, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 2.59/2.96  , clause( 20412, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 2.59/2.96  , clause( 20413, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 2.59/2.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.96    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20414, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.96    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20415, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.96    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 2.59/2.96  , clause( 20416, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.96    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 2.59/2.96  , clause( 20417, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.96    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 2.59/2.96  , clause( 20418, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 2.59/2.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.59/2.96     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20419, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 2.59/2.96    , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20420, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 2.59/2.96    , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20421, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 2.59/2.96    =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 2.59/2.96     )
% 2.59/2.96  , clause( 20422, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 2.59/2.96     ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.96     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20423, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), 
% 2.59/2.96    ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.96    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20424, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), 
% 2.59/2.96    ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.96    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20425, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 2.59/2.96    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.96    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 2.59/2.96  , clause( 20426, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 2.59/2.96    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.96    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 2.59/2.96  , clause( 20427, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20428, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20429, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.59/2.96    , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.96    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20430, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.96    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.96     ) ] )
% 2.59/2.96  , clause( 20431, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.96    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.96     ) ] )
% 2.59/2.96  , clause( 20432, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.96    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 2.59/2.96     ) ] )
% 2.59/2.96  , clause( 20433, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.96    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.96     ) ] )
% 2.59/2.96  , clause( 20434, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.96    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, 
% 2.59/2.96    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20435, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 2.59/2.96    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 2.59/2.96     )
% 2.59/2.96  , clause( 20436, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.96    'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 2.59/2.96    , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20437, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 2.59/2.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 2.59/2.96    , X ) ) ), =( Y, Z ) ] )
% 2.59/2.96  , clause( 20438, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.96    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.59/2.96     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.96    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 2.59/2.96    Z, T, X ), X ) ) ] )
% 2.59/2.96  , clause( 20439, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ] )
% 2.59/2.96  , clause( 20440, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ] )
% 2.59/2.96  , clause( 20441, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 2.59/2.96    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 2.59/2.96  , clause( 20442, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.59/2.96    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 2.59/2.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 2.59/2.96    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 2.59/2.96  , clause( 20443, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 2.59/2.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.96    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 2.59/2.96    , Z, X ) ) ] )
% 2.59/2.96  , clause( 20444, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 2.59/2.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.96    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 2.59/2.96    X ), X ) ) ] )
% 2.59/2.96  , clause( 20445, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 2.59/2.96     ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, 
% 2.59/2.96    Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 2.59/2.96  , clause( 20446, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 2.59/2.96     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.96     ) ) ] )
% 2.59/2.96  , clause( 20447, [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 2.59/2.96    X ) ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.96     ) ) ] )
% 2.59/2.96  , clause( 20448, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( T, U, X ), X ), 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~( 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~( 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 2.59/2.96  , clause( 20449, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.96    X ) ) ] )
% 2.59/2.96  , clause( 20450, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 2.59/2.96     ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ] )
% 2.59/2.96  , clause( 20451, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 2.59/2.96     ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 2.59/2.96  , clause( 20452, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 2.59/2.96  , clause( 20453, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 2.59/2.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 2.59/2.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ), 
% 2.59/2.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 2.59/2.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 2.59/2.96    , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 2.59/2.96    , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.96     ) ) ] )
% 2.59/2.96  , clause( 20454, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 2.59/2.96    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 2.59/2.96  , clause( 20455, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.96    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.96    Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20456, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.59/2.96     ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 2.59/2.96    , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.96     ) ) ] )
% 2.59/2.96  , clause( 20457, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.59/2.96     ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 2.59/2.96    , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.96     ) ) ] )
% 2.59/2.96  , clause( 20458, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 2.59/2.96     ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ] )
% 2.59/2.96  , clause( 20459, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 2.59/2.96     ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 2.59/2.96  , clause( 20460, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 2.59/2.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 2.59/2.96  , clause( 20461, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 2.59/2.96    =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 2.59/2.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.96     ) ] )
% 2.59/2.96  , clause( 20462, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 2.59/2.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20463, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.59/2.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.96  , clause( 20464, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 2.59/2.96     ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 2.59/2.96    Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 2.59/2.96  , clause( 20465, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 2.59/2.96    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.96    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 2.59/2.96    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 2.59/2.96  , clause( 20466, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ), 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.59/2.96     ) ) ] )
% 2.59/2.96  , clause( 20467, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 2.59/2.96     ) ) ] )
% 2.59/2.96  , clause( 20468, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.96    'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 2.59/2.96    , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 2.59/2.96    'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~( 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ] )
% 2.59/2.96  , clause( 20469, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 2.59/2.96    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 2.59/2.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z, 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~( 
% 2.59/2.96    'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ] )
% 2.59/2.96  , clause( 20470, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, 
% 2.59/2.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ] )
% 2.59/2.96  , clause( 20471, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ] )
% 2.59/2.96  , clause( 20472, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ), 
% 2.59/2.96    'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ] )
% 2.59/2.96  , clause( 20473, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 2.59/2.96     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 2.59/2.96    Y, X ), Z, X ) ) ] )
% 2.59/2.96  , clause( 20474, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 2.59/2.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 2.59/2.96    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 2.59/2.96    Y, X ), X ) ) ] )
% 2.59/2.96  , clause( 20475, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 2.59/2.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 2.59/2.96     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 2.59/2.96  , clause( 20476, [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 2.59/2.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 2.59/2.96     ) ) ] )
% 2.59/2.96  , clause( 20477, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 2.59/2.96    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 2.59/2.96    X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 2.59/2.96  , clause( 20478, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 2.59/2.96    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 2.59/2.96    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 2.59/2.96    X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 2.59/2.96  , clause( 20479, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 2.59/2.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 2.59/2.96    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 2.59/2.96    T, X ), X ) ) ] )
% 2.59/2.96  , clause( 20480, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.96    , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 2.59/2.96    T, X ), Z, X ) ) ] )
% 2.59/2.96  , clause( 20481, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.96    , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.96    Z, T, X ), X ) ) ] )
% 2.59/2.96  , clause( 20482, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 2.59/2.96     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 2.59/2.96    , X ), T, X ) ) ] )
% 2.59/2.96  , clause( 20483, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 2.59/2.96     ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 2.59/2.96    , T, X ), X ) ) ] )
% 2.59/2.96  , clause( 20484, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 2.59/2.96     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 2.59/2.96    , X ), T, X ) ) ] )
% 2.59/2.96  , clause( 20485, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.59/2.96    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 2.59/2.96     ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.59/2.96  , clause( 20486, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20487, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20488, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20489, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20490, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 2.59/2.97    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 2.59/2.97     ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20491, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20492, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 2.59/2.97    T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 
% 2.59/2.97    Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20493, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ), 
% 2.59/2.97    Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 2.59/2.97  , clause( 20494, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 2.59/2.97     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97     ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20495, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, 
% 2.59/2.97    Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20496, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 2.59/2.97    T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.59/2.97    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'( 
% 2.59/2.97    X ) ) ) ] )
% 2.59/2.97  , clause( 20497, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 2.59/2.97     ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 2.59/2.97  , clause( 20498, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 2.59/2.97    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 2.59/2.97     ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 2.59/2.97     ), X ) ) ] )
% 2.59/2.97  , clause( 20499, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.59/2.97     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20500, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.59/2.97     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 2.59/2.97    Y, X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20501, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.59/2.97    , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20502, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20503, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20504, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20505, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 2.59/2.97  , clause( 20506, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20507, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.59/2.97    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.59/2.97    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20508, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 2.59/2.97    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 2.59/2.97    X ), X ) ) ] )
% 2.59/2.97  , clause( 20509, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 2.59/2.97    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 2.59/2.97    X ), X ) ) ] )
% 2.59/2.97  , clause( 20510, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 2.59/2.97    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 2.59/2.97    X ), X ) ) ] )
% 2.59/2.97  , clause( 20511, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 2.59/2.97    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 2.59/2.97    X ), X ) ) ] )
% 2.59/2.97  , clause( 20512, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Y, Y, X ) ) ] )
% 2.59/2.97  , clause( 20513, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20514, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 2.59/2.97    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20515, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 2.59/2.97    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20516, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 2.59/2.97    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20517, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20518, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20519, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 2.59/2.97    X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20520, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ] )
% 2.59/2.97  , clause( 20521, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 2.59/2.97    Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20522, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20523, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 2.59/2.97  , clause( 20524, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20525, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.59/2.97    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20526, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 2.59/2.97    X ), X ) ) ] )
% 2.59/2.97  , clause( 20527, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20528, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 2.59/2.97    'tc_Rational_Orat' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Rational_Orat' ), 
% 2.59/2.97    'tc_Rational_Orat' ) ) ] )
% 2.59/2.97  , clause( 20529, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20530, [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20531, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20532, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20533, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20534, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 2.59/2.97    , T, X ), X ), T, X ) ) ] )
% 2.59/2.97  , clause( 20535, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20536, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20537, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), 
% 2.59/2.97    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20538, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20539, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 2.59/2.97  , clause( 20540, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 2.59/2.97  , clause( 20541, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 2.59/2.97    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20542, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20543, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20544, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20545, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20546, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20547, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20548, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20549, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 2.59/2.97    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 2.59/2.97    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20550, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.59/2.97     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20551, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20552, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.97    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 2.59/2.97    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20553, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.97    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 2.59/2.97    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20554, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ), 
% 2.59/2.97    'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20555, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ), 
% 2.59/2.97    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20556, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 2.59/2.97     ), Y ) ] )
% 2.59/2.97  , clause( 20557, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 2.59/2.97     ), X ), Y ) ] )
% 2.59/2.97  , clause( 20558, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Z, Y, X ) ) ] )
% 2.59/2.97  , clause( 20559, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.59/2.97    , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20560, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Z, Y, X ) ) ] )
% 2.59/2.97  , clause( 20561, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 2.59/2.97    , T, X ), X ), T, X ) ) ] )
% 2.59/2.97  , clause( 20562, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 2.59/2.97    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.59/2.97    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20563, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.59/2.97    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20564, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 2.59/2.97    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20565, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 2.59/2.97    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20566, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.59/2.97    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20567, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 2.59/2.97    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20568, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 2.59/2.97    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20569, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, 
% 2.59/2.97    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20570, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 2.59/2.97    X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20571, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, 
% 2.59/2.97    X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20572, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 2.59/2.97     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 2.59/2.97  , clause( 20573, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 2.59/2.97    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 2.59/2.97  , clause( 20574, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 2.59/2.97     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20575, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 2.59/2.97     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20576, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 2.59/2.97  , clause( 20577, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 2.59/2.97  , clause( 20578, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 2.59/2.97    , T, X ) ) ), =( Z, T ) ] )
% 2.59/2.97  , clause( 20579, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 2.59/2.97    , T, X ) ) ), =( Y, Z ) ] )
% 2.59/2.97  , clause( 20580, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20581, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 2.59/2.97    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.97    Y, Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20582, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 2.59/2.97    , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( 
% 2.59/2.97    Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ] )
% 2.59/2.97  , clause( 20583, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 2.59/2.97     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 2.59/2.97  , clause( 20584, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 2.59/2.97     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20585, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 2.59/2.97     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20586, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.59/2.97     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20587, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 2.59/2.97     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20588, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ), =( Y, Z ) ] )
% 2.59/2.97  , clause( 20589, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ), =( Y, Z ) ] )
% 2.59/2.97  , clause( 20590, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.97    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, 
% 2.59/2.97    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 2.59/2.97  , clause( 20591, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 2.59/2.97    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 2.59/2.97    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20592, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 2.59/2.97    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 2.59/2.97    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20593, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 2.59/2.97    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20594, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 2.59/2.97    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20595, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 2.59/2.97    , U, X ), X ) ) ] )
% 2.59/2.97  , clause( 20596, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.59/2.97    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20597, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.59/2.97    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20598, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.59/2.97    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20599, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.59/2.97    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20600, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 2.59/2.97    X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 2.59/2.97  , clause( 20601, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 2.59/2.97     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 2.59/2.97  , clause( 20602, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 2.59/2.97    , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20603, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20604, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 2.59/2.97    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20605, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 2.59/2.97  , clause( 20606, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 2.59/2.97  , clause( 20607, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.59/2.97    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 2.59/2.97  , clause( 20608, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.97    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20609, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.97    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20610, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.59/2.97    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Y, T, X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20611, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 2.59/2.97    , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20612, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 2.59/2.97    , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 2.59/2.97  , clause( 20613, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 2.59/2.97    X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20614, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20615, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ] )
% 2.59/2.97  , clause( 20616, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 2.59/2.97    =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ), 
% 2.59/2.97    'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20617, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20618, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20619, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20620, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20621, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20622, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.97    'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.59/2.97  , clause( 20623, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20624, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20625, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20626, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20627, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 2.59/2.97     ), Y ) ] )
% 2.59/2.97  , clause( 20628, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 2.59/2.97    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20629, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 2.59/2.97    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20630, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.59/2.97     ), Y ) ] )
% 2.59/2.97  , clause( 20631, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20632, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20633, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.59/2.97     ), Y ) ] )
% 2.59/2.97  , clause( 20634, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.59/2.97     ), Y ) ] )
% 2.59/2.97  , clause( 20635, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20636, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 2.59/2.97    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 2.59/2.97  , clause( 20637, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 2.59/2.97    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 2.59/2.97     ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 2.59/2.97  , clause( 20638, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.97    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 2.59/2.97    , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 2.59/2.97  , clause( 20639, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 2.59/2.97     ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 2.59/2.97  , clause( 20640, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 2.59/2.97    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    Y, T, X ) ) ), =( Z, T ) ] )
% 2.59/2.97  , clause( 20641, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 2.59/2.97    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    T, Z, X ) ) ), =( Y, T ) ] )
% 2.59/2.97  , clause( 20642, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 2.59/2.97    , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20643, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 2.59/2.97    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20644, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 2.59/2.97  , clause( 20645, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ] )
% 2.59/2.97  , clause( 20646, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 2.59/2.97     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20647, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 2.59/2.97    =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20648, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 2.59/2.97    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20649, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 2.59/2.97    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 2.59/2.97  , clause( 20650, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 2.59/2.97    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20651, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 2.59/2.97  , clause( 20652, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 2.59/2.97  , clause( 20653, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.59/2.97    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 2.59/2.97  , clause( 20654, [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.59/2.97    , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 2.59/2.97  , clause( 20655, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20656, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 2.59/2.97    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20657, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20658, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 2.59/2.97    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 2.59/2.97    , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 2.59/2.97  , clause( 20659, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 2.59/2.97    W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 2.59/2.97  , clause( 20660, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 2.59/2.97    W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 2.59/2.97    , X ), W, X ) ) ] )
% 2.59/2.97  , clause( 20661, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ] )
% 2.59/2.97  , clause( 20662, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ] )
% 2.59/2.97  , clause( 20663, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20664, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20665, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, 
% 2.59/2.97    Y, X ) ) ] )
% 2.59/2.97  , clause( 20666, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, 
% 2.59/2.97    Y, X ) ) ] )
% 2.59/2.97  , clause( 20667, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20668, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 2.59/2.97    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 2.59/2.97     ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20669, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 2.59/2.97    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20670, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 2.59/2.97    , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z, 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20671, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 2.59/2.97    , T, X ), X ), T, X ) ) ] )
% 2.59/2.97  , clause( 20672, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 2.59/2.97    Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( 
% 2.59/2.97    Y, Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20673, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 2.59/2.97     ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20674, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 2.59/2.97     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20675, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 2.59/2.97  , clause( 20676, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20677, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 2.59/2.97    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 2.59/2.97     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ), 
% 2.59/2.97    Z, X ) ) ] )
% 2.59/2.97  , clause( 20678, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.59/2.97     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 2.59/2.97  , clause( 20679, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.59/2.97     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 2.59/2.97  , clause( 20680, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 2.59/2.97    T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y, 
% 2.59/2.97    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 2.59/2.97  , clause( 20681, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.97    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.59/2.97    , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), 
% 2.59/2.97    =( Y, T ) ] )
% 2.59/2.97  , clause( 20682, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 2.59/2.97    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.59/2.97    , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), 
% 2.59/2.97    =( Y, T ) ] )
% 2.59/2.97  , clause( 20683, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20684, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 2.59/2.97     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 2.59/2.97    Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20685, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 2.59/2.97    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 2.59/2.97    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20686, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 2.59/2.97    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T, 
% 2.59/2.97    X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20687, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.59/2.97    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20688, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.59/2.97    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20689, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.59/2.97    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20690, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.59/2.97    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20691, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.59/2.97    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20692, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20693, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20694, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20695, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20696, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.59/2.97    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20697, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20698, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20699, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 2.59/2.97     ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 2.59/2.97    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20700, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 2.59/2.97     ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20701, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20702, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20703, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 2.59/2.97  , clause( 20704, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20705, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 2.59/2.97    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T, 
% 2.59/2.97    X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20706, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 2.59/2.97  , clause( 20707, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 2.59/2.97  , clause( 20708, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 2.59/2.97  , clause( 20709, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 2.59/2.97    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 2.59/2.97  , clause( 20710, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.59/2.97  , clause( 20711, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20712, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 2.59/2.97    =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.97    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20713, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20714, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 2.59/2.97    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 2.59/2.97    X ), X ) ) ] )
% 2.59/2.97  , clause( 20715, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20716, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.59/2.97    , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.59/2.97    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20717, [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y, 
% 2.59/2.97    'tc_Rational_Orat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_Rational_Orat' ), 
% 2.59/2.97    'tc_Rational_Orat' ) ) ] )
% 2.59/2.97  , clause( 20718, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20719, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 2.59/2.97    Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( 
% 2.59/2.97    Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20720, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20721, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 2.59/2.97    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.59/2.97     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 2.59/2.97    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 2.59/2.97    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20722, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 2.59/2.97    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 2.59/2.97    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 2.59/2.97    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20723, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 2.59/2.97    X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 2.59/2.97    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20724, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 2.59/2.97    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20725, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 2.59/2.97    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20726, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 2.59/2.97    , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20727, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 2.59/2.97    , X ), X ), Y ) ] )
% 2.59/2.97  , clause( 20728, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.59/2.97     ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20729, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.59/2.97  , clause( 20730, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 2.59/2.97  , clause( 20731, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.59/2.97    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 2.59/2.97    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 2.59/2.97  , clause( 20732, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20733, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 2.59/2.97    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20734, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 2.59/2.97    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 2.59/2.97    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.59/2.97  , clause( 20735, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 2.59/2.97  , clause( 20736, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 2.59/2.97     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20737, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 2.59/2.97    =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 2.59/2.97    , 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ] )
% 2.59/2.97  , clause( 20738, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 2.59/2.97  , clause( 20739, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 2.59/2.97    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ] )
% 2.59/2.97  , clause( 20740, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 2.59/2.97    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 2.59/2.97    X ) ) ) ] )
% 2.59/2.97  , clause( 20741, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 2.59/2.97    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 2.59/2.97    X ) ) ) ] )
% 2.59/2.97  , clause( 20742, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 2.59/2.97     ), Y, 'tc_Polynomial_Opoly'( X ) ) ] )
% 2.59/2.97  , clause( 20743, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 2.59/2.97     ), Z, 'tc_Polynomial_Opoly'( X ) ) ] )
% 2.59/2.97  , clause( 20744, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 2.59/2.97     ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20745, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 2.59/2.97     ), X ) ) ] )
% 2.59/2.97  , clause( 20746, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 2.59/2.97    Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20747, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 2.59/2.97    Z, X ) ) ] )
% 2.59/2.97  , clause( 20748, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.59/2.97    , X ) ] )
% 2.59/2.97  , clause( 20749, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_p_H', 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.97  , clause( 20750, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 2.59/2.97    T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 2.59/2.97  , clause( 20751, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 2.59/2.97    Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 2.59/2.97  , clause( 20752, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 2.59/2.97  , clause( 20753, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 2.59/2.97    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ] )
% 2.59/2.97  , clause( 20754, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 2.59/2.97    , X ) ) ] )
% 2.59/2.97  , clause( 20755, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 2.59/2.97    , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20756, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 2.59/2.97    , X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20757, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 2.59/2.97    Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20758, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 2.59/2.97    Z, X ), X ) ) ] )
% 2.59/2.97  , clause( 20759, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 2.59/2.97  , clause( 20760, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 2.59/2.97    , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 2.59/2.97  , clause( 20761, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 2.59/2.97    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20762, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 2.59/2.97    , X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20763, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 2.59/2.97    , X ), Z, X ) ) ] )
% 2.59/2.97  , clause( 20764, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 2.59/2.97    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20765, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 2.59/2.97    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 2.59/2.97  , clause( 20766, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 2.59/2.97    X ) ] )
% 2.59/2.97  , clause( 20767, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 2.59/2.97  , clause( 20768, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ] )
% 2.59/2.97  , clause( 20769, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 2.59/2.97    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20770, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 2.59/2.97    , T, X ), X ) ) ] )
% 2.59/2.97  , clause( 20771, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 2.59/2.97    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 2.59/2.97  , clause( 20772, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 2.59/2.97    , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20773, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 2.59/2.97    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 2.59/2.97  , clause( 20774, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 2.59/2.97    , Y, X ), X ) ] )
% 2.59/2.97  , clause( 20775, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 2.59/2.97    , Z, X ), X ) ] )
% 2.59/2.97  , clause( 20776, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 2.59/2.97    , Z, X ), X ) ] )
% 2.59/2.97  , clause( 20777, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 
% 2.59/2.97    'c_Polynomial_Osmult'( Y, Z, 'tc_Complex_Ocomplex' ), 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_Polynomial_Opoly'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.97  , clause( 20778, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, 
% 2.59/2.97    X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 2.59/2.97  , clause( 20779, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 2.59/2.97     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20780, [ =( 'c_HOL_Ominus__class_Ominus'( 'v_q', 'v_r', 
% 2.59/2.97    'tc_Rational_Orat' ), 'c_HOL_Oplus__class_Oplus'( 'v_q', 
% 2.59/2.97    'c_HOL_Ouminus__class_Ouminus'( 'v_r', 'tc_Rational_Orat' ), 
% 2.59/2.97    'tc_Rational_Orat' ) ) ] )
% 2.59/2.97  , clause( 20781, [ =( 'c_HOL_Oinverse__class_Odivide'( 'v_q', 'v_r', 
% 2.59/2.97    'tc_Rational_Orat' ), 'c_HOL_Otimes__class_Otimes'( 'v_q', 
% 2.59/2.97    'c_HOL_Oinverse__class_Oinverse'( 'v_r', 'tc_Rational_Orat' ), 
% 2.59/2.97    'tc_Rational_Orat' ) ) ] )
% 2.59/2.97  , clause( 20782, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 2.59/2.97    , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 2.59/2.97  , clause( 20783, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.97  , clause( 20784, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.97  , clause( 20785, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ), ~( 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.97  , clause( 20786, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 
% 2.59/2.97    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.97    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.97  , clause( 20787, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 2.59/2.97  , clause( 20788, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20789, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20790, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20791, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20792, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20793, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20794, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20795, [ 'class_OrderedGroup_Oordered__ab__group__add'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20796, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20797, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20798, [ 'class_Ring__and__Field_Odivision__by__zero'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20799, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20800, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20801, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20802, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20803, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20804, [ 'class_Ring__and__Field_Oordered__field'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20805, [ 'class_Ring__and__Field_Odivision__ring'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20806, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20807, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20808, [ 'class_Ring__and__Field_Ozero__neq__one'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20809, [ 'class_Ring__and__Field_Oordered__idom'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20810, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 2.59/2.97    'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20811, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Rational_Orat'
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20812, [ 'class_Ring__and__Field_Omult__zero'( 'tc_Rational_Orat'
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20813, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Rational_Orat'
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20814, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Rational_Orat' )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20815, [ 'class_Ring__and__Field_Osemiring'( 'tc_Rational_Orat' )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20816, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Rational_Orat' )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20817, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Rational_Orat' ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20818, [ 'class_Ring__and__Field_Oring__1'( 'tc_Rational_Orat' )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20819, [ 'class_Ring__and__Field_Ofield'( 'tc_Rational_Orat' ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20820, [ 'class_Ring__and__Field_Oring'( 'tc_Rational_Orat' ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20821, [ 'class_Ring__and__Field_Oidom'( 'tc_Rational_Orat' ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20822, [ 'class_Ring__and__Field_Odvd'( 'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20823, [ 'class_Int_Onumber__ring'( 'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20824, [ 'class_Power_Opower'( 'tc_Rational_Orat' ) ] )
% 2.59/2.97  , clause( 20825, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20826, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20827, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20828, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20829, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20830, [ 'class_Ring__and__Field_Odivision__by__zero'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20831, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20832, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20833, [ 'class_RealVector_Oreal__normed__algebra'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20834, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20835, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20836, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20837, [ 'class_Ring__and__Field_Odivision__ring'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20838, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20839, [ 'class_RealVector_Oreal__normed__field'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20840, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20841, [ 'class_Ring__and__Field_Ozero__neq__one'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20842, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20843, [ 'class_OrderedGroup_Oab__group__add'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20844, [ 'class_Ring__and__Field_Omult__zero'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20845, [ 'class_Ring__and__Field_Ocomm__ring'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20846, [ 'class_OrderedGroup_Omonoid__mult'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20847, [ 'class_Ring__and__Field_Osemiring'( 
% 2.59/2.97    'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20848, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20849, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20850, [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex'
% 2.59/2.97     ) ] )
% 2.59/2.97  , clause( 20851, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20852, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20853, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20854, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 2.59/2.97     ] )
% 2.59/2.97  , clause( 20855, [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20856, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20857, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 2.59/2.97  , clause( 20858, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20859, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20860, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20861, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 2.59/2.97  , clause( 20862, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20863, [ 'class_OrderedGroup_Oordered__ab__group__add'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20864, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 2.59/2.97  , clause( 20865, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 2.59/2.97     )
% 2.59/2.97  , clause( 20866, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 2.59/2.97  , clause( 20867, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 2.59/2.97  , clause( 20868, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 2.59/2.97  , clause( 20869, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 2.59/2.97  , clause( 20870, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20871, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 2.59/2.97  , clause( 20872, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20873, [ 'class_Ring__and__Field_Ozero__neq__one'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 2.59/2.97  , clause( 20874, [ 'class_Ring__and__Field_Oordered__idom'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20875, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( 
% 2.59/2.97    X ) ) ] )
% 2.59/2.97  , clause( 20876, [ 'class_OrderedGroup_Oab__group__add'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20877, [ 'class_Ring__and__Field_Omult__zero'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 2.59/2.97  , clause( 20878, [ 'class_Ring__and__Field_Ocomm__ring'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 2.59/2.97     ) ) ] )
% 2.59/2.97  , clause( 20879, [ 'class_OrderedGroup_Omonoid__mult'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 2.59/2.97  , clause( 20880, [ 'class_Ring__and__Field_Osemiring'( 
% 2.59/2.97    'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.97    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 2.59/2.97  , clause( 20881, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( 
% 2.59/2.97    X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ] )
% 2.59/2.97  , clause( 20882, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( 
% 2.59/2.97    X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 2.59/2.97  , clause( 20883, [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( 
% 2.59/2.97    X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 2.59/2.97  , clause( 20884, [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X
% 2.59/2.97     ) ), ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 2.59/2.97  , clause( 20885, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X
% 2.59/2.97     ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 2.59/2.97  , clause( 20886, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X
% 2.59/2.97     ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 2.59/2.97  , clause( 20887, [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X
% 2.59/2.97     ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 2.59/2.97  , clause( 20888, [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.97    , ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 2.59/2.98  , clause( 20889, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 2.59/2.98    , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 2.59/2.98  , clause( 20890, [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 2.59/2.98    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 2.59/2.98  ] ).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  subsumption(
% 2.59/2.98  clause( 311, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , clause( 20783, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.59/2.98     ).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  subsumption(
% 2.59/2.98  clause( 312, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , clause( 20784, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.59/2.98     ).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  resolution(
% 2.59/2.98  clause( 22835, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , clause( 20785, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , 0, clause( 312, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  factor(
% 2.59/2.98  clause( 22836, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , clause( 22835, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , 0, 1, substitution( 0, [] )).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  subsumption(
% 2.59/2.98  clause( 313, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , clause( 22836, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  resolution(
% 2.59/2.98  clause( 23495, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.98  , clause( 312, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , 1, clause( 20786, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.98  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  factor(
% 2.59/2.98  clause( 23496, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.98  , clause( 23495, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.98  , 0, 1, substitution( 0, [] )).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  subsumption(
% 2.59/2.98  clause( 314, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.98  , clause( 23496, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.98  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  resolution(
% 2.59/2.98  clause( 23497, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , clause( 313, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , 0, clause( 311, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_q', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), ~( 
% 2.59/2.98    'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  resolution(
% 2.59/2.98  clause( 23498, [] )
% 2.59/2.98  , clause( 23497, [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 2.59/2.98  , 0, clause( 314, [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_p', 'v_r', 
% 2.59/2.98    'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ] )
% 2.59/2.98  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  subsumption(
% 2.59/2.98  clause( 20408, [] )
% 2.59/2.98  , clause( 23498, [] )
% 2.59/2.98  , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  end.
% 2.59/2.98  
% 2.59/2.98  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.59/2.98  
% 2.59/2.98  Memory use:
% 2.59/2.98  
% 2.59/2.98  space for terms:        585964
% 2.59/2.98  space for clauses:      1007007
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  clauses generated:      126077
% 2.59/2.98  clauses kept:           20409
% 2.59/2.98  clauses selected:       460
% 2.59/2.98  clauses deleted:        81
% 2.59/2.98  clauses inuse deleted:  0
% 2.59/2.98  
% 2.59/2.98  subsentry:          200545
% 2.59/2.98  literals s-matched: 130915
% 2.59/2.98  literals matched:   112917
% 2.59/2.98  full subsumption:   78947
% 2.59/2.98  
% 2.59/2.98  checksum:           1133402951
% 2.59/2.98  
% 2.59/2.98  
% 2.59/2.98  Bliksem ended
%------------------------------------------------------------------------------