%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL837-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n008.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 : Sun Jul 17 07:58:38 EDT 2022

% Result   : Timeout 300.08s 300.52s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL837-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n008.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 : Sat Jul  2 12:02:38 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.92/1.30  *** allocated 10000 integers for termspace/termends
% 0.92/1.30  *** allocated 10000 integers for clauses
% 0.92/1.30  *** allocated 10000 integers for justifications
% 0.92/1.30  *** allocated 15000 integers for termspace/termends
% 0.92/1.30  Bliksem 1.12
% 0.92/1.30  
% 0.92/1.30  
% 0.92/1.30  Automatic Strategy Selection
% 0.92/1.30  
% 0.92/1.30  Clauses:
% 0.92/1.30  [
% 0.92/1.30     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.92/1.30    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 0.92/1.30    'tc_nat' ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.92/1.30    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.92/1.30     ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.92/1.30     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.30    'tc_nat' ) ), =( Y, Z ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.30    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.92/1.30    , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.30    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.92/1.30    , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.92/1.30    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.92/1.30    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.92/1.30    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.92/1.30    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.92/1.30    , Y, X ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.92/1.30    Y, 'tc_nat' ) ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.92/1.30     ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.30    'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), T ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.92/1.30     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ), U ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), U ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.92/1.30    X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 
% 0.92/1.30    'c_Lambda_Olift', X ), T ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ), 
% 0.92/1.30    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 
% 0.92/1.30    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 
% 0.92/1.30    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.92/1.30     [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.30    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.30    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.92/1.30     ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.30    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.30    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.92/1.30     ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.30     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.30    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.30     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 0.92/1.30    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.30     ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.92/1.30     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.92/1.30    , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.92/1.30    X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 0.92/1.30    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.92/1.30    , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.92/1.30     ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.92/1.30     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.92/1.30    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 0.92/1.30    'tc_nat' ) ) ],
% 0.92/1.30     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.30    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.30    , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 0.92/1.30    , X ) ), T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.30    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.30    , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 0.92/1.30     ), Z ), T, X ) ) ],
% 0.92/1.30     [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), 
% 0.92/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~( 
% 0.92/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ), 
% 0.92/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~( 
% 0.92/1.30    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP( 
% 0.92/1.30    'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y, 
% 0.92/1.30    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.92/1.30    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.92/1.30    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ), 
% 0.92/1.30    'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.30    X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.92/1.30    'c_Power_Opower__class_Opower'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.30    'tc_nat' ), Z ), T ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.30    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.92/1.30    Y, T, X ), X ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.30    'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.30    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.30    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.92/1.30    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.30    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 0.92/1.30    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.30    X ), Y ), Z ) ), T ) ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.30    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.92/1.30    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.30    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.92/1.30    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.30    X ), Y ), Z ) ), T ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.92/1.30     ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.30    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.30    , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 0.92/1.30     ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.92/1.30    , Y, X ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.92/1.30    , Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.30    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.92/1.30     ), X ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.30    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.92/1.30     ), X ) ) ],
% 0.92/1.30     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y, 
% 0.92/1.30    'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.92/1.30    'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.92/1.30    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.92/1.30    Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.30    'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.92/1.30    , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.30    Z, T, 'tc_nat' ), X ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.92/1.30     ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    Z, X, 'tc_nat' ) ],
% 0.92/1.30     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.30    X, 'tc_nat' ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.92/1.30    'tc_nat' ), X, 'tc_nat' ) ],
% 0.92/1.30     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.30    X, 'tc_nat' ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 
% 0.92/1.30    'tc_nat' ), X, 'tc_nat' ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.92/1.30    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.30    Y, T, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.30    Y, Z, X ) ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.92/1.30    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.30    Y, T, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.30    Y, Z, X ) ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 0.92/1.30    Z, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), 
% 0.92/1.30    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 0.92/1.31    Z, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.92/1.31     ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 0.92/1.31     [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.92/1.31    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Power_Opower__class_Opower'( Y, 
% 0.92/1.31    Z, 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.92/1.31    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.92/1.31    , Y, X ), X ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.92/1.31    , Z, X ), X ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.92/1.31    , Z, X ), X ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.92/1.31     ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.92/1.31     ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.92/1.31     ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.92/1.31     ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.92/1.31     ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.92/1.31    , X, 'tc_nat' ), X ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.92/1.31     ), 'tc_nat' ), X ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.92/1.31     ],
% 0.92/1.31     [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), X, 'tc_nat' ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( X
% 0.92/1.31    , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.92/1.31     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.92/1.31    , X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), 'c_Divides_Odiv__class_Odiv'( 
% 0.92/1.31    Z, T, X ) ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y
% 0.92/1.31    , X ), X ) ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ), T ), hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    X ), 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X
% 0.92/1.31     ), Z, X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ), T ), hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.92/1.31     [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.92/1.31    , T, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.92/1.31    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.92/1.31    , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.92/1.31    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    X, Y, 'tc_nat' ) ), X, 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) )
% 0.92/1.31    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.92/1.31     ), 'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ), 
% 0.92/1.31    'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'( 
% 0.92/1.31    'tc_nat' ) ) ) ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    X, T, 'tc_nat' ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.92/1.31     [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.92/1.31    , Z ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.92/1.31    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.92/1.31    , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.92/1.31    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.92/1.31    , T, X ), X ), T, X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.92/1.31    Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( 
% 0.92/1.31    Y, Z, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), X ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), Z ), T ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), Z, X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), T ), 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.92/1.31    , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), T, X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Z ), 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.92/1.31    , X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X
% 0.92/1.31     ) ), 'c_HOL_Oone__class_Oone'( X ) ), Y, X ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.92/1.31    , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.92/1.31    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.92/1.31    , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.92/1.31    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.92/1.31    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.92/1.31    , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.92/1.31    , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.92/1.31    , Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.92/1.31     ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.92/1.31     ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ), =( Z, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.92/1.31    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.92/1.31     [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OAbs'( X ), 
% 0.92/1.31    'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.31    'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ), 'c_Suc'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ), 
% 0.92/1.31    'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.92/1.31     ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.31     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.92/1.31    , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.31     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.92/1.31    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.92/1.31    , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.92/1.31    , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.92/1.31    , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ), 
% 0.92/1.31    'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.92/1.31     ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'( 
% 0.92/1.31    'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.92/1.31    X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 
% 0.92/1.31    'c_Lambda_Olift', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.92/1.31    , T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( hAPP( 
% 0.92/1.31    'c_Lambda_Olift', Y ), T ) ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.92/1.31     ) ), 'c_Suc'( Z ) ), hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 
% 0.92/1.31    'c_Lambda_Olift', X ), Z ) ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Divides_Odiv__class_Omod'( Y, Z
% 0.92/1.31    , 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( X, Y, 
% 0.92/1.31    'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.92/1.31    ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.92/1.31    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.92/1.31    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.31    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.92/1.31    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.92/1.31    , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.92/1.31    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.92/1.31    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.92/1.31    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    X ), T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, 
% 0.92/1.31    Z, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Z, 'tc_nat' ) ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 'tc_nat' ) ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, X, 'tc_nat'
% 0.92/1.31     ), 'c_Power_Opower__class_Opower'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 
% 0.92/1.31    X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP( 
% 0.92/1.31    hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 0.92/1.31    Y, 'tc_nat' ) ), Z ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( Z, Y, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), T, X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), Z, X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.92/1.31     ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), T ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.31    X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( 'c_Divides_Odiv__class_Odiv'( Y
% 0.92/1.31    , X, 'tc_nat' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), =( Z, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Z, X
% 0.92/1.31    , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 0.92/1.31     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 0.92/1.31     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), X ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.92/1.31    , 'tc_nat' ), 'tc_nat' ) ],
% 0.92/1.31     [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.92/1.31    , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.92/1.31     ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z, 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ) ), X ), Y, 
% 0.92/1.31    'tc_nat' ) ) ) ), hBOOL( hAPP( Z, X ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.92/1.31    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.92/1.31    , 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.92/1.31    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.92/1.31    , 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.92/1.31    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.92/1.31    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.92/1.31     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.92/1.31     ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 0.92/1.31    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.31    , X ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.31     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.31     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.31     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.92/1.31    X ), Y ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.92/1.31    X ), Y ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.92/1.31    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.31     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.31     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.31     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.31     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ), hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ), hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z, 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ) ), X ), Y, 
% 0.92/1.31    'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.92/1.31    T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y, 
% 0.92/1.31    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.92/1.31     [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.92/1.31     [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ), 
% 0.92/1.31    'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X, 
% 0.92/1.31    'tc_nat' ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    Z, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.92/1.31    , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 0.92/1.31    Y, 'tc_nat' ) ), Z ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( 
% 0.92/1.31    'c_Suc'( Z ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.92/1.31    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    T, U, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, U, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    T, Z, X ) ) ) ), =( Z, U ), =( Y, T ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.92/1.31    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    T, U, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, U, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    T, Z, X ) ) ) ), =( Z, U ), =( Y, T ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 0.92/1.31    T, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ), 
% 0.92/1.31    =( Y, T ), =( X, Z ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 0.92/1.31    T, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ), 
% 0.92/1.31    =( Y, T ), =( X, Z ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.92/1.31    , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.92/1.31    , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.92/1.31    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.92/1.31    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T, 
% 0.92/1.31    X ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.92/1.31     ), Z ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), Z
% 0.92/1.31    , X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Otimes__class_Otimes'( Z, Y
% 0.92/1.31    , X ) ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.92/1.31    , X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( X, hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.92/1.31    , X ) ) ],
% 0.92/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.31    , Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.31    , Y, X ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ), 
% 0.92/1.31    'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.31    Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.92/1.31     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.92/1.31    , Y, X ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ), 
% 0.92/1.31    'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'( 
% 0.92/1.31    'tc_nat' ) ) ) ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.31     ), =( Z, Y ) ],
% 0.92/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.31     ) ],
% 0.92/1.31     [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 0.92/1.31     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 0.92/1.31     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 0.92/1.31     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.31     [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 0.92/1.31     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.92/1.31     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 0.92/1.31    'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.92/1.31     [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' )
% 0.92/1.31     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 0.92/1.31     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ), =( Y, X ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.92/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.31    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.92/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.31    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.92/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.31     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.92/1.31    T, X ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.92/1.31    , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.92/1.31    , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, X, 'tc_nat' ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.92/1.31     [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), Z, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 'c_Divides_Odiv__class_Odiv'( 
% 0.92/1.31    Y, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, 'c_Divides_Odiv__class_Omod'( Y, Z, 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.92/1.31    , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.92/1.31    , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( X
% 0.92/1.31    , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.92/1.31     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Z, X
% 0.92/1.31    , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 0.92/1.31     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.92/1.31    , Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.92/1.31    'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Odiv'( X, Y, 
% 0.92/1.31    'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( T, U, X ), X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    Y, U, 'tc_nat' ) ) ) ), =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' )
% 0.92/1.31    , 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.31    , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 0.92/1.31    X ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.92/1.31    Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.92/1.31     ), Y, X ) ), =( Z, T ) ],
% 0.92/1.31     [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.92/1.31     ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.92/1.31     ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.92/1.31    X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.92/1.31    , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.92/1.31    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.92/1.31    , X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.92/1.31    Y ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.92/1.31    Y ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.92/1.31    X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.92/1.31    Y ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.92/1.31    Y ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.92/1.31    Y ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.92/1.31    Y ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.92/1.31    Y ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.92/1.31    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.31    X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.92/1.31     [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.31    'tc_nat' ) ) ) ],
% 0.92/1.31     [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 0.92/1.31    , Y ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.31     ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 
% 0.92/1.31    'v_sko__List__Xlexn__Xinduct__1'( X ) ) ), ~( hBOOL( hAPP( X, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.92/1.31     [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( 
% 0.92/1.31    hAPP( X, 'c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1'( X ) ) ) ), ~( 
% 0.92/1.31    hBOOL( hAPP( X, Y ) ) ) ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), 
% 0.92/1.31    X ) ],
% 0.92/1.31     [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 0.92/1.31    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.92/1.31     [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL( 
% 0.92/1.31    hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ) ) ) ],
% 0.92/1.31     [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 0.92/1.31    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.31    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 
% 0.92/1.31    'c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1'( X ) ) ), ~( hBOOL( hAPP( X
% 0.92/1.31    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.31     ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.92/1.31     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.92/1.31     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.92/1.31     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.92/1.31     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 
% 0.92/1.31    'v_sko__List__Xreplicate__Xinduct__1'( X ) ) ), ~( hBOOL( hAPP( X, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.92/1.31     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinducts__1'( 
% 0.92/1.31    X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.92/1.31     ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinduct__1'( 
% 0.92/1.31    X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.92/1.31     ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.31     ), 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.31     ), 'tc_nat' ) ) ],
% 0.92/1.31     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__List__Xupt__Xinduct__1'( 
% 0.92/1.31    X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.92/1.31     ],
% 0.92/1.31     [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.31     ) ), X, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X, 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.31     ) ), X, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.92/1.31    , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.92/1.31     ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 0.92/1.31    , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.31     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.92/1.31    , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.92/1.31     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.92/1.31    , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.92/1.31     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.92/1.31    , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.92/1.31    Y ) ) ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.92/1.31     ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.92/1.31     ) ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.92/1.31    , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.92/1.31    Y ) ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.92/1.31     ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'( 
% 0.92/1.31    Z ) ) ) ],
% 0.92/1.31     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.92/1.31    Z ) ) ) ],
% 0.92/1.31     [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.92/1.31    Z ) ) ) ],
% 0.92/1.31     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( 
% 0.92/1.31    hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( 
% 0.92/1.31    hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.92/1.31     ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ), 
% 0.92/1.31    'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.92/1.31     ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ), 
% 0.92/1.31    'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'( 
% 0.92/1.31    Z ) ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.92/1.31    , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.92/1.31     ), Z ) ) ],
% 0.92/1.31     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.92/1.31    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.92/1.31     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.92/1.31    , 'c_List_Olist_ONil'( T ) ) ],
% 0.92/1.31     [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ), 
% 0.92/1.31    'c_List_Olist_ONil'( Z ) ) ],
% 0.92/1.31     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.92/1.31     ), Z, X ) ) ],
% 0.92/1.31     [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 
% 0.92/1.31    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 
% 0.92/1.31    'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 
% 0.92/1.31    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 
% 0.92/1.31    'tc_Lambda_OdB' ), X ) ) ],
% 0.92/1.31     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.92/1.31    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'( 
% 0.92/1.31    'tc_Lambda_OdB' ) ) ],
% 0.92/1.31     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.92/1.31    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.92/1.31    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.92/1.31    'tc_Lambda_OdB' ) ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.92/1.31    'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.92/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.92/1.31    'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.92/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.92/1.31     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.92/1.31    'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y, 
% 0.92/1.31    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.92/1.31     [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.92/1.31    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.92/1.31     ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.92/1.31     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.92/1.31    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'( 
% 0.92/1.31    'tc_Lambda_OdB' ) ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.92/1.31    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 
% 0.92/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.92/1.31     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.31     ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.92/1.31     ), X ), Y ) ],
% 0.92/1.31     [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ), 
% 0.92/1.31    hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'( 
% 0.92/1.31    X, T ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.92/1.31    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.92/1.31     ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.92/1.31    Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.92/1.31     [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.92/1.31    , X ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.92/1.31    , X ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.92/1.31    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.92/1.31    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.92/1.31    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 0.92/1.31    Z, 'c_Suc'( T ), 'tc_nat' ), 'tc_nat', X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.92/1.31     ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.92/1.31    , 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' )
% 0.92/1.31     ), 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ) ],
% 0.92/1.31     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.92/1.31     ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.92/1.31    , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 0.92/1.31    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 0.92/1.31    X ), T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 0.92/1.31    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 0.92/1.31    X ), T, X ) ) ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.92/1.31     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.92/1.31    , Y, X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.92/1.31    , 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 'c_Divides_Odiv__class_Omod'( 
% 0.92/1.31    Y, Z, 'tc_nat' ), 'tc_nat' ) ), T ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) )
% 0.92/1.31    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z
% 0.92/1.31    , 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.92/1.31    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Otimes__class_Otimes'( Z, U
% 0.92/1.31    , X ) ) ) ), =( T, U ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    Y, T, 'tc_nat' ) ) ) ), =( Z, T ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.92/1.31    , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.92/1.31     ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.92/1.31    , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.92/1.31     ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'( 
% 0.92/1.31    Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.31     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.31    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), 
% 0.92/1.31    ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.31    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.31     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.31    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), 
% 0.92/1.31    ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.31    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.92/1.31    , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.92/1.31     ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.92/1.31    , Z ), Y ), 'tc_nat' ) ) ],
% 0.92/1.31     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.92/1.31    , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.92/1.31     ],
% 0.92/1.31     [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Lambda_Obeta'( T, Y ) ), ~( 
% 0.92/1.31    'c_Type_Otyping'( X, T, Z ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.92/1.31    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 0.92/1.31    Z, 'c_Suc'( T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, 
% 0.92/1.31    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 0.92/1.31    , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ =( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, X
% 0.92/1.31    , 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ =( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.92/1.31    , 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.92/1.31    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.92/1.31    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.31     [ =( 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.92/1.31     ) ],
% 0.92/1.31     [ =( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 
% 0.92/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Oone__class_Oone'( 
% 0.92/1.31    'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X )
% 0.92/1.31     ), 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X )
% 0.92/1.31    , Z, X ) ), Y ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP( 
% 0.92/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.92/1.31     ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.92/1.31    , Y, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.92/1.31    , T, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.92/1.31    , T, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.92/1.31    , Y, X ), X ) ) ],
% 0.92/1.31     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.92/1.31    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.92/1.31    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.92/1.31    'tc_nat' ), 'c_Power_Opower__class_Opower'( Y, X, 'tc_nat' ), 'tc_nat' )
% 0.92/1.31     ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.92/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.92/1.31    , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.92/1.31     [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ), 
% 0.92/1.31    'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.92/1.31    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 0.92/1.31    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), T ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.31    , Y ), Z ), T, X ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.92/1.31    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 0.92/1.31    Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.92/1.31    X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y, 
% 0.92/1.31    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_Suc'( Z ), T, 'tc_nat' )
% 0.92/1.31    , 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ]
% 0.92/1.31    ,
% 0.92/1.31     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 0.92/1.31    'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( 
% 0.92/1.31    'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.92/1.31     [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ) ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Z, Y, X ) ), Z ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ) ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Y ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( 
% 0.92/1.31    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ) ), 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.92/1.31    , X ) ) ],
% 0.92/1.31     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.92/1.31    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.92/1.31    , X ) ) ],
% 0.92/1.31     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ), 
% 0.92/1.31    'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'( 
% 0.92/1.31    'tc_nat' ) ) ) ) ) ],
% 0.92/1.31     [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OAbs'( X ) ), hAPP( hAPP( 
% 0.92/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ), 
% 0.92/1.31    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.92/1.31     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X, 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y, 
% 0.92/1.31    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.92/1.31    T, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 0.92/1.31    X ), Z, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 0.92/1.31    T, X ), X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.92/1.31    X ), T, X ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.92/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 0.92/1.31    T, X ), X ) ) ],
% 0.92/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 0.92/1.31    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.92/1.31    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.31    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 0.95/1.31    X ), T, X ) ) ],
% 0.95/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.95/1.31    'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.31    , Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.95/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.95/1.31    Z, T, X ) ) ) ],
% 0.95/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 0.95/1.31    'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.31    , Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.95/1.31    'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.95/1.31    Z, T, X ) ) ) ],
% 0.95/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP( 
% 0.95/1.31    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.95/1.31    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), 
% 0.95/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ) ) ],
% 0.95/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( X, hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 0.95/1.31    Y, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ) ]
% 0.95/1.31    ,
% 0.95/1.31     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.95/1.31    'c_HOL_Otimes__class_Otimes'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.95/1.31    X ), Z ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.95/1.31    'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'( 
% 0.95/1.31    Y, T, X ) ) ) ],
% 0.95/1.31     [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP( 
% 0.95/1.31    hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.95/1.31    ,
% 0.95/1.31     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.31    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.31     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.31    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), 
% 0.95/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~( 
% 0.95/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~( 
% 0.95/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~( 
% 0.95/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), 
% 0.95/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~( 
% 0.95/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.31    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.31     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.31    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.31     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 0.95/1.31     ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), 
% 0.95/1.31    hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.95/1.31     ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 
% 0.95/1.31    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 0.95/1.31     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_Osubst', X ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ), 'c_Suc'( 
% 0.95/1.31    T ) ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ) ), Z ), hAPP( 
% 0.95/1.31    hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), 
% 0.95/1.31    U ), Z ) ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'( 
% 0.95/1.31    'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~( 
% 0.95/1.31    hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.95/1.31     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_Olift', X ), Y ), hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_Olift', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.31    , 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), 
% 0.95/1.31    ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 
% 0.95/1.31    'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ), 'v_a____', T ) ) ]
% 0.95/1.31    ,
% 0.95/1.31     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31     ) ), =( 'c_Finite__Set_Osetsum'( Y, 
% 0.95/1.31    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ), 
% 0.95/1.31    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 0.95/1.31    ,
% 0.95/1.31     [ =( 'c_Lambda_OdB_OdB__size'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y )
% 0.95/1.31     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ), 
% 0.95/1.31    'c_Lambda_OdB_OdB__size'( Y ) ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ) ) ) ],
% 0.95/1.31     [ =( 'c_Nat_Osize__class_Osize'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y
% 0.95/1.31     ), 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.95/1.31    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.95/1.31    'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ), 
% 0.95/1.31    'c_Nat_Osize__class_Osize'( Y, 'tc_Lambda_OdB' ) ) ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.95/1.31     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.95/1.31    X ) ), Y ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.31    , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), 
% 0.95/1.31    ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.95/1.31     [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____', 
% 0.95/1.31    'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ), 
% 0.95/1.31    'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.95/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.95/1.31    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.95/1.31    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.31     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.95/1.31    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.95/1.31    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.95/1.31    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.95/1.31    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.31     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.95/1.31     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.95/1.31    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.95/1.31    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ), 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31     [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1'( X ) )
% 0.95/1.31     ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.95/1.31    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.95/1.31    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( 
% 0.95/1.31    hAPP( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1'( X ) ) )
% 0.95/1.31     ), ~( hBOOL( hAPP( X, Y ) ) ) ],
% 0.95/1.31     [ ~( =( 'c_Power_Opower__class_Opower'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'( 
% 0.95/1.31    'v_sko__List__Xlexn__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.95/1.31     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.95/1.31     ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.95/1.31     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.95/1.31    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.95/1.31     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ), 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'( 
% 0.95/1.31    'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 
% 0.95/1.31    'c_Suc'( Y ), Z, T ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'( 
% 0.95/1.31    'c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1'( X ) ) ) ) ), ~( hBOOL( 
% 0.95/1.31    hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.95/1.31     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'( 
% 0.95/1.31    'v_sko__List__Xreplicate__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'( 
% 0.95/1.31    'v_sko__List__Xupt__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.95/1.31     [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1'( X ) )
% 0.95/1.31     ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.95/1.31     ) ],
% 0.95/1.31     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'( 
% 0.95/1.31    'v_sko__Nat__Xnat__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.95/1.31     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 0.95/1.31    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'( 
% 0.95/1.31    'v_sko__Nat__Xnat__Xinducts__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.95/1.31     [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1'( X
% 0.95/1.31     ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ],
% 0.95/1.31     [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.95/1.31    ,
% 0.95/1.31     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.95/1.31    'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.31     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.95/1.31    'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.31     [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 0.95/1.31    , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.95/1.31    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.95/1.31    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ =( 'c_Power_Opower__class_Opower'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ), X, 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ) ) ],
% 0.95/1.31     [ =( 'c_Power_Opower__class_Opower'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ), X, 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ) ) ],
% 0.95/1.31     [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 
% 0.95/1.31    'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.95/1.31     [ =( 'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'( 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 0.95/1.31     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'( 
% 0.95/1.31    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.95/1.31     ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.95/1.31    ,
% 0.95/1.31     [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.95/1.31    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.95/1.31    'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 
% 0.95/1.31    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.95/1.31     ) ) ],
% 0.95/1.31     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.95/1.31    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.95/1.31    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.95/1.31    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.95/1.31     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.95/1.31    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.95/1.31    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.95/1.31    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.95/1.31     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.95/1.31    'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.95/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.95/1.31     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.95/1.31    'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X, 
% 0.95/1.31    'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.95/1.31     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.95/1.31    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.95/1.31    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.95/1.31    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.95/1.31     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.95/1.31    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.95/1.31    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.95/1.31    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.95/1.31     [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 
% 0.95/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.31    , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 0.95/1.31     ) ],
% 0.95/1.31     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.95/1.31    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.95/1.31    , Y ) ],
% 0.95/1.31     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.95/1.31    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.95/1.31    , Y ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.95/1.31    , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.95/1.31     ) ) ) ],
% 0.95/1.31     [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 
% 0.95/1.31    'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 
% 0.95/1.31    'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat', 
% 0.95/1.31    'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 
% 0.95/1.31    'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.95/1.31    , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.95/1.31     [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.31    , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.95/1.31    'c_InductTermi_OIT', X ) ) ) ],
% 0.95/1.31     [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), 
% 0.95/1.31    'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.95/1.31    , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 
% 0.95/1.31    'c_Type_Otypings'( X, T, U ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.31    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ), Y )
% 0.95/1.31     ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( hBOOL( hAPP( 
% 0.95/1.31    'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y
% 0.95/1.31    , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.95/1.31    hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 
% 0.95/1.31    'tc_Lambda_OdB' ), T ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.31    , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 
% 0.95/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( 
% 0.95/1.31    'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.95/1.31    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.31    , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.95/1.31    , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.95/1.31     [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'( 
% 0.95/1.31    'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.95/1.31    , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 
% 0.95/1.31    'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X, 
% 0.95/1.31    'tc_Lambda_OdB' ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_a____' ) ) ],
% 0.95/1.31     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.95/1.31    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.31    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 
% 0.95/1.31    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 
% 0.95/1.31    'tc_Lambda_OdB' ) ) ) ],
% 0.95/1.31     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.95/1.31     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.95/1.31     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.31    , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'( 
% 0.95/1.31    'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ), 
% 0.95/1.31    'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.95/1.31    , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 
% 0.95/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.95/1.31     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.95/1.31     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.95/1.31     ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.95/1.31     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.31     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.31     [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.95/1.31    , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.95/1.31     ],
% 0.95/1.31     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'( 
% 0.95/1.31    'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.95/1.31    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 
% 0.95/1.31    'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 
% 0.95/1.31    'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat', 
% 0.95/1.31    'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.95/1.31    , 'tc_Lambda_OdB' ) ) ],
% 0.95/1.31     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.31     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.31     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.95/1.31    ,
% 0.95/1.31     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.95/1.31    'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 
% 0.95/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.95/1.31     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift', 
% 0.95/1.31    X ), Y ) ), Z ), Y ), X ) ],
% 0.95/1.31     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.31    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.95/1.31    'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.95/1.31    'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'v_u____'
% 0.95/1.31     ), 'v_i____' ) ) ) ],
% 0.95/1.31     [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 
% 0.95/1.31    'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 
% 0.95/1.31    hAPP( 'c_Lambda_Osubst', 'v_r____' ), hAPP( hAPP( 'c_Lambda_Olift', 
% 0.95/1.31    'v_u____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'( 
% 0.95/1.31    'v_i____' ) ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ), 
% 0.95/1.31    'v_u____' ), 'v_i____' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.95/1.31    'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 
% 0.95/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) )
% 0.95/1.31    , 'v_i____', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'v_as____', 
% 0.95/1.31    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) )
% 0.95/1.31     ) ) ],
% 0.95/1.31     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.95/1.31    'class_Orderings_Opreorder'( Y ) ) ],
% 0.95/1.31     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.95/1.31    'class_Orderings_Oorder'( Y ) ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.95/1.31     ],
% 0.95/1.31     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.95/1.31     ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.95/1.31     ],
% 0.95/1.31     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.95/1.31     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.95/1.31     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.95/1.31    ,
% 0.95/1.31     [ =( 'c_COMBB'( X, Y, Z, T, U, W ), hAPP( X, hAPP( Y, Z ) ) ) ],
% 0.95/1.31     [ 'c_fequal'( X, X, Y ) ],
% 0.95/1.31     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.95/1.31  ] .
% 0.95/1.31  
% 0.95/1.31  
% 0.95/1.31  percentage equality = 0.350689, percentage horn = 0.870528
% 0.95/1.31  This is a problem with some equality
% 0.95/1.31  
% 0.95/1.31  
% 0.95/1.31  
% 0.95/1.31  Options Used:
% 0.95/1.31  
% 0.95/1.31  useres =            1
% 0.95/1.31  useparamod =        1
% 0.95/1.31  useeqrefl =         1
% 0.95/1.31  useeqfact =         1
% 0.95/1.31  usefactor =         1
% 0.95/1.31  usesimpsplitting =  0
% 0.95/1.31  usesimpdemod =      5
% 0.95/1.31  usesimpres =        3
% 0.95/1.31  
% 0.95/1.31  resimpinuse      =  1000
% 0.95/1.31  resimpclauses =     20000
% 0.95/1.31  substype =          eqrewr
% 0.95/1.31  backwardsubs =      1
% 0.95/1.31  selectoldest =      5
% 0.95/1.31  
% 0.95/1.31  litorderings [0] =  split
% 0.95/1.31  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.95/1.31  
% 0.95/1.31  termordering =      kbo
% 0.95/1.31  
% 0.95/1.31  litapriori =        0
% 0.95/1.31  termapriori =       1
% 0.95/1.31  litaposteriori =    0
% 0.95/1.31  termaposteriori =   0
% 0.95/1.31  demodaposteriori =  0
% 0.95/1.31  ordereqreflfact =   0
% 0.95/1.31  
% 0.95/1.31  litselect =         negord
% 0.95/1.31  
% 0.95/1.31  maxweight =         15
% 0.95/1.31  maxdepth =          30000
% 0.95/1.31  maxlength =         115
% 0.95/1.31  maxnrvars =         195
% 0.95/1.31  excuselevel =       1
% 0.95/1.31  increasemaxweight = 1
% 0.95/1.31  
% 0.95/1.31  maxselected =       10000000
% 0.95/1.31  maxnrclauses =      10000000
% 0.95/1.31  
% 0.95/1.31  showgenerated =    0
% 0.95/1.31  showkept =         0
% 0.95/1.31  showselected =     0
% 0.95/1.31  showdeleted =      0
% 0.95/1.31  showresimp =       1
% 0.95/1.31  showstatus =       2000
% 0.95/1.31  
% 0.95/1.31  prologoutput =     1
% 0.95/1.31  nrgoals =          5000000
% 0.95/1.31  totalproof =       1
% 0.95/1.31  
% 0.95/1.31  Symbols occurring in the translation:
% 0.95/1.31  
% 0.95/1.31  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.95/1.31  .  [1, 2]      (w:1, o:151, a:1, s:1, b:0), 
% 0.95/1.31  !  [4, 1]      (w:0, o:88, a:1, s:1, b:0), 
% 0.95/1.31  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.95/1.31  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.95/1.31  'tc_nat'  [41, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.95/1.31  'c_HOL_Otimes__class_Otimes'  [42, 3]      (w:1, o:181, a:1, s:1, b:0), 
% 0.95/1.31  'c_HOL_Oone__class_Oone'  [43, 1]      (w:1, o:93, a:1, s:1, b:0), 
% 0.95/1.31  'class_Ring__and__Field_Osemiring__1'  [45, 1]      (w:1, o:97, a:1, s:1
% 0.95/1.31    , b:0), 
% 0.95/1.31  'c_Nat_Osemiring__1__class_Oof__nat'  [46, 2]      (w:1, o:176, a:1, s:1
% 0.95/1.31    , b:0), 
% 0.95/1.31  'c_HOL_Ozero__class_Ozero'  [48, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 0.95/1.31  'c_HOL_Oord__class_Oless'  [49, 3]      (w:1, o:182, a:1, s:1, b:0), 
% 0.95/1.31  'c_Suc'  [50, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 0.95/1.31  'c_HOL_Oplus__class_Oplus'  [51, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 0.95/1.31  hAPP  [52, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 0.95/1.31  'class_Ring__and__Field_Oordered__semidom'  [53, 1]      (w:1, o:104, a:1
% 0.95/1.31    , s:1, b:0), 
% 0.95/1.31  'c_Power_Opower__class_Opower'  [55, 3]      (w:1, o:183, a:1, s:1, b:0), 
% 0.95/1.31  'class_Ring__and__Field_Osemiring'  [59, 1]      (w:1, o:105, a:1, s:1, b:0
% 0.95/1.31    ), 
% 0.95/1.31  'c_Lambda_Olift'  [63, 0]      (w:1, o:42, a:1, s:1, b:0), 
% 0.95/1.31  'c_Lambda_Osubst'  [64, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 0.95/1.31  'c_Lambda_OdB_OVar'  [69, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 0.95/1.31  'c_Type_Otyping'  [70, 3]      (w:1, o:185, a:1, s:1, b:0), 
% 0.95/1.31  'class_OrderedGroup_Opordered__comm__monoid__add'  [71, 1]      (w:1, o:108
% 0.95/1.31    , a:1, s:1, b:0), 
% 0.95/1.31  'class_Divides_Osemiring__div'  [72, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 0.95/1.31  'c_Divides_Odiv__class_Omod'  [73, 3]      (w:1, o:186, a:1, s:1, b:0), 
% 0.95/1.31  'c_Ring__and__Field_Odvd__class_Odvd'  [74, 3]      (w:1, o:187, a:1, s:1
% 0.95/1.31    , b:0), 
% 0.95/1.31  'c_Divides_Odiv__class_Odiv'  [75, 3]      (w:1, o:188, a:1, s:1, b:0), 
% 0.95/1.31  'class_Ring__and__Field_Oordered__ring__strict'  [76, 1]      (w:1, o:103
% 0.95/1.31    , a:1, s:1, b:0), 
% 0.95/1.31  'class_OrderedGroup_Omonoid__mult'  [79, 1]      (w:1, o:111, a:1, s:1, b:0
% 0.95/1.31    ), 
% 0.95/1.31  'class_OrderedGroup_Oab__group__add'  [80, 1]      (w:1, o:112, a:1, s:1
% 0.95/1.31    , b:0), 
% 0.95/1.31  'class_Ring__and__Field_Ocomm__semiring__1'  [81, 1]      (w:1, o:113, a:1
% 0.95/1.31    , s:1, b:0), 
% 0.95/1.31  'class_OrderedGroup_Oab__semigroup__add'  [83, 1]      (w:1, o:114, a:1, s:
% 0.95/1.31    1, b:0), 
% 0.95/1.31  'class_OrderedGroup_Ocomm__monoid__add'  [84, 1]      (w:1, o:115, a:1, s:1
% 0.95/1.31    , b:0), 
% 0.95/1.31  'class_Orderings_Oorder'  [85, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.95/1.31  'class_Orderings_Opreorder'  [86, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 0.95/1.31  'class_Power_Opower'  [88, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 0.95/1.31  'class_Ring__and__Field_Oidom'  [90, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 0.95/1.31  'class_Int_Onumber__ring'  [91, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 0.95/1.31  'class_Ring__and__Field_Odvd'  [92, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 0.95/1.31  'class_OrderedGroup_Ocomm__monoid__mult'  [93, 1]      (w:1, o:118, a:1, s:
% 0.95/1.31    1, b:0), 
% 0.95/1.31  'c_List_Olist_ONil'  [95, 1]      (w:1, o:133, a:1, s:1, b:0), 
% 0.95/1.31  'c_List_Olistsp'  [96, 3]      (w:1, o:189, a:1, s:1, b:0), 
% 0.95/1.31  'c_Lambda_OdB_OdB__size'  [98, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 0.95/1.31  'c_Lambda_OdB_OAbs'  [100, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 0.95/1.31  'c_Lambda_Osubstn'  [101, 3]      (w:1, o:190, a:1, s:1, b:0), 
% 0.95/1.31  'class_Nat_Osemiring__char__0'  [103, 1]      (w:1, o:107, a:1, s:1, b:0), 
% 9.96/10.40    
% 9.96/10.40  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [105, 1]      (w:1, o:119
% 9.96/10.40    , a:1, s:1, b:0), 
% 9.96/10.40  'class_OrderedGroup_Ocancel__semigroup__add'  [106, 1]      (w:1, o:120, a:
% 9.96/10.40    1, s:1, b:0), 
% 9.96/10.40  'tc_Lambda_OdB'  [108, 0]      (w:1, o:59, a:1, s:1, b:0), 
% 9.96/10.40  'c_Nat_Osize__class_Osize'  [109, 2]      (w:1, o:178, a:1, s:1, b:0), 
% 9.96/10.40  'c_Lambda_Oliftn'  [110, 3]      (w:1, o:191, a:1, s:1, b:0), 
% 9.96/10.40  'class_Ring__and__Field_Oordered__semiring__strict'  [111, 1]      (w:1, o:
% 9.96/10.40    136, a:1, s:1, b:0), 
% 9.96/10.40  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [112, 1]      
% 9.96/10.40    (w:1, o:137, a:1, s:1, b:0), 
% 9.96/10.40  'tc_Type_Otype'  [115, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 9.96/10.40  'c_Type_Oshift'  [116, 4]      (w:1, o:194, a:1, s:1, b:0), 
% 9.96/10.40  'c_Lambda_Obeta'  [117, 2]      (w:1, o:179, a:1, s:1, b:0), 
% 9.96/10.40  hBOOL  [119, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 9.96/10.40  'class_OrderedGroup_Olordered__ab__group__add'  [120, 1]      (w:1, o:110
% 9.96/10.40    , a:1, s:1, b:0), 
% 9.96/10.40  'class_Ring__and__Field_Ozero__neq__one'  [121, 1]      (w:1, o:139, a:1
% 9.96/10.40    , s:1, b:0), 
% 9.96/10.40  'class_Ring__and__Field_Ono__zero__divisors'  [122, 1]      (w:1, o:102, a:
% 9.96/10.40    1, s:1, b:0), 
% 9.96/10.40  'class_Ring__and__Field_Omult__zero'  [123, 1]      (w:1, o:101, a:1, s:1
% 9.96/10.40    , b:0), 
% 9.96/10.40  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [124, 1]      (w:1
% 9.96/10.40    , o:94, a:1, s:1, b:0), 
% 9.96/10.40  'class_Ring__and__Field_Oring__no__zero__divisors'  [125, 1]      (w:1, o:
% 9.96/10.40    95, a:1, s:1, b:0), 
% 9.96/10.40  'class_Ring__and__Field_Oordered__idom'  [129, 1]      (w:1, o:140, a:1, s:
% 9.96/10.40    1, b:0), 
% 9.96/10.40  'class_Orderings_Olinorder'  [135, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 9.96/10.40  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [136, 1]      
% 9.96/10.40    (w:1, o:122, a:1, s:1, b:0), 
% 9.96/10.40  'class_OrderedGroup_Oab__semigroup__idem__mult'  [137, 1]      (w:1, o:123
% 9.96/10.40    , a:1, s:1, b:0), 
% 9.96/10.40  'class_OrderedGroup_Omonoid__add'  [140, 1]      (w:1, o:124, a:1, s:1, b:0
% 9.96/10.40    ), 
% 9.96/10.40  'class_Ring__and__Field_Osemiring__0'  [141, 1]      (w:1, o:96, a:1, s:1
% 9.96/10.40    , b:0), 
% 9.96/10.40  'v_sko__List__Xlexn__Xinduct__1'  [142, 1]      (w:1, o:141, a:1, s:1, b:0)
% 9.96/10.40    , 
% 9.96/10.40  'c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1'  [143, 1]      (w:1, o:142
% 9.96/10.40    , a:1, s:1, b:0), 
% 9.96/10.40  'c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1'  [144, 1]      (w:1, o:143
% 9.96/10.40    , a:1, s:1, b:0), 
% 9.96/10.40  'v_sko__List__Xreplicate__Xinduct__1'  [145, 1]      (w:1, o:144, a:1, s:1
% 9.96/10.40    , b:0), 
% 9.96/10.40  'v_sko__Nat__Xnat__Xinducts__1'  [146, 1]      (w:1, o:145, a:1, s:1, b:0)
% 9.96/10.40    , 
% 9.96/10.40  'v_sko__Nat__Xnat__Xinduct__1'  [147, 1]      (w:1, o:146, a:1, s:1, b:0), 
% 9.96/10.40    
% 9.96/10.40  'v_sko__List__Xupt__Xinduct__1'  [148, 1]      (w:1, o:147, a:1, s:1, b:0)
% 9.96/10.40    , 
% 9.96/10.40  'c_Lambda_OdB_OApp'  [149, 0]      (w:1, o:66, a:1, s:1, b:0), 
% 9.96/10.40  'c_List_Omap'  [157, 4]      (w:1, o:195, a:1, s:1, b:0), 
% 9.96/10.40  'c_List_Ofoldl'  [159, 5]      (w:1, o:197, a:1, s:1, b:0), 
% 9.96/10.40  'class_OrderedGroup_Osemigroup__add'  [162, 1]      (w:1, o:125, a:1, s:1
% 9.96/10.40    , b:0), 
% 9.96/10.40  'c_SetInterval_Oord__class_OatLeastLessThan'  [164, 3]      (w:1, o:184, a:
% 9.96/10.40    1, s:1, b:0), 
% 9.96/10.40  'c_Finite__Set_Osetsum'  [165, 4]      (w:1, o:196, a:1, s:1, b:0), 
% 9.96/10.40  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [166, 1]      
% 9.96/10.40    (w:1, o:126, a:1, s:1, b:0), 
% 9.96/10.40  'v_e____'  [169, 0]      (w:1, o:71, a:1, s:1, b:0), 
% 9.96/10.40  'v_u____'  [170, 0]      (w:1, o:72, a:1, s:1, b:0), 
% 9.96/10.40  'v_T____'  [171, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 9.96/10.40  'class_OrderedGroup_Oab__semigroup__mult'  [172, 1]      (w:1, o:127, a:1
% 9.96/10.40    , s:1, b:0), 
% 9.96/10.40  'class_Ring__and__Field_Ocomm__semiring'  [173, 1]      (w:1, o:131, a:1
% 9.96/10.40    , s:1, b:0), 
% 9.96/10.40  'c_InductTermi_OIT'  [175, 0]      (w:1, o:74, a:1, s:1, b:0), 
% 9.96/10.40  'v_ua______'  [176, 0]      (w:1, o:75, a:1, s:1, b:0), 
% 9.96/10.40  'v_a____'  [177, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 9.96/10.40  'v_i____'  [180, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 9.96/10.40  'v_r____'  [181, 0]      (w:1, o:78, a:1, s:1, b:0), 
% 9.96/10.40  'v_as____'  [182, 0]      (w:1, o:79, a:1, s:1, b:0), 
% 9.96/10.40  'v_T_H____'  [183, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 9.96/10.40  'c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1'  [184, 1]      (w:1, o:148
% 9.96/10.40    , a:1, s:1, b:0), 
% 9.96/10.40  'c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1'  [185, 1]      (w:1, o:149
% 9.96/10.40    , a:1, s:1, b:0), 
% 9.96/10.40  'c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1'  [186, 1]      (w:1
% 9.96/10.40    , o:150, a:1, s:1, b:0), 
% 38.72/39.11  'tc_fun'  [187, 2]      (w:1, o:180, a:1, s:1, b:0), 
% 38.72/39.11  'c_COMBC'  [188, 5]      (w:1, o:198, a:1, s:1, b:0), 
% 38.72/39.11  'c_Type_Otypings'  [190, 3]      (w:1, o:192, a:1, s:1, b:0), 
% 38.72/39.11  'c_COMBB'  [196, 6]      (w:1, o:199, a:1, s:1, b:0), 
% 38.72/39.11  'c_fequal'  [197, 3]      (w:1, o:193, a:1, s:1, b:0).
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Starting Search:
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    4473
% 38.72/39.11  Kept:         2021
% 38.72/39.11  Inuse:        135
% 38.72/39.11  Deleted:      6
% 38.72/39.11  Deletedinuse: 0
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    12329
% 38.72/39.11  Kept:         4027
% 38.72/39.11  Inuse:        276
% 38.72/39.11  Deleted:      10
% 38.72/39.11  Deletedinuse: 0
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    20732
% 38.72/39.11  Kept:         6039
% 38.72/39.11  Inuse:        370
% 38.72/39.11  Deleted:      13
% 38.72/39.11  Deletedinuse: 0
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    29767
% 38.72/39.11  Kept:         8234
% 38.72/39.11  Inuse:        442
% 38.72/39.11  Deleted:      23
% 38.72/39.11  Deletedinuse: 9
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    36683
% 38.72/39.11  Kept:         10392
% 38.72/39.11  Inuse:        481
% 38.72/39.11  Deleted:      24
% 38.72/39.11  Deletedinuse: 9
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    49005
% 38.72/39.11  Kept:         12769
% 38.72/39.11  Inuse:        500
% 38.72/39.11  Deleted:      25
% 38.72/39.11  Deletedinuse: 9
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    65126
% 38.72/39.11  Kept:         14795
% 38.72/39.11  Inuse:        521
% 38.72/39.11  Deleted:      25
% 38.72/39.11  Deletedinuse: 9
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    75350
% 38.72/39.11  Kept:         16796
% 38.72/39.11  Inuse:        565
% 38.72/39.11  Deleted:      26
% 38.72/39.11  Deletedinuse: 9
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    88217
% 38.72/39.11  Kept:         19945
% 38.72/39.11  Inuse:        615
% 38.72/39.11  Deleted:      26
% 38.72/39.11  Deletedinuse: 9
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying clauses:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    97569
% 38.72/39.11  Kept:         21950
% 38.72/39.11  Inuse:        660
% 38.72/39.11  Deleted:      354
% 38.72/39.11  Deletedinuse: 10
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    108634
% 38.72/39.11  Kept:         24324
% 38.72/39.11  Inuse:        704
% 38.72/39.11  Deleted:      355
% 38.72/39.11  Deletedinuse: 11
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    117487
% 38.72/39.11  Kept:         26325
% 38.72/39.11  Inuse:        741
% 38.72/39.11  Deleted:      356
% 38.72/39.11  Deletedinuse: 12
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    128682
% 38.72/39.11  Kept:         28680
% 38.72/39.11  Inuse:        759
% 38.72/39.11  Deleted:      358
% 38.72/39.11  Deletedinuse: 14
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    139604
% 38.72/39.11  Kept:         30713
% 38.72/39.11  Inuse:        774
% 38.72/39.11  Deleted:      358
% 38.72/39.11  Deletedinuse: 14
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    150978
% 38.72/39.11  Kept:         33274
% 38.72/39.11  Inuse:        803
% 38.72/39.11  Deleted:      359
% 38.72/39.11  Deletedinuse: 14
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    169056
% 38.72/39.11  Kept:         35728
% 38.72/39.11  Inuse:        838
% 38.72/39.11  Deleted:      360
% 38.72/39.11  Deletedinuse: 15
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    186154
% 38.72/39.11  Kept:         37941
% 38.72/39.11  Inuse:        868
% 38.72/39.11  Deleted:      360
% 38.72/39.11  Deletedinuse: 15
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    194819
% 38.72/39.11  Kept:         40066
% 38.72/39.11  Inuse:        926
% 38.72/39.11  Deleted:      362
% 38.72/39.11  Deletedinuse: 15
% 38.72/39.11  
% 38.72/39.11  Resimplifying clauses:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    205740
% 38.72/39.11  Kept:         42215
% 38.72/39.11  Inuse:        951
% 38.72/39.11  Deleted:      760
% 38.72/39.11  Deletedinuse: 15
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    234928
% 38.72/39.11  Kept:         44819
% 38.72/39.11  Inuse:        966
% 38.72/39.11  Deleted:      760
% 38.72/39.11  Deletedinuse: 15
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    263859
% 38.72/39.11  Kept:         46942
% 38.72/39.11  Inuse:        971
% 38.72/39.11  Deleted:      760
% 38.72/39.11  Deletedinuse: 15
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    287636
% 38.72/39.11  Kept:         50111
% 38.72/39.11  Inuse:        986
% 38.72/39.11  Deleted:      760
% 38.72/39.11  Deletedinuse: 15
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  Resimplifying inuse:
% 38.72/39.11  Done
% 38.72/39.11  
% 38.72/39.11  
% 38.72/39.11  Intermediate Status:
% 38.72/39.11  Generated:    298182
% 38.72/39.11  Kept:         52267
% 38.72/39.11  Inuse:        1016
% 108.48/108.91  Deleted:      760
% 108.48/108.91  Deletedinuse: 15
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    313177
% 108.48/108.91  Kept:         57493
% 108.48/108.91  Inuse:        1045
% 108.48/108.91  Deleted:      761
% 108.48/108.91  Deletedinuse: 16
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    328854
% 108.48/108.91  Kept:         62238
% 108.48/108.91  Inuse:        1047
% 108.48/108.91  Deleted:      761
% 108.48/108.91  Deletedinuse: 16
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  Resimplifying clauses:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    336963
% 108.48/108.91  Kept:         65813
% 108.48/108.91  Inuse:        1048
% 108.48/108.91  Deleted:      990
% 108.48/108.91  Deletedinuse: 16
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    354235
% 108.48/108.91  Kept:         68106
% 108.48/108.91  Inuse:        1056
% 108.48/108.91  Deleted:      990
% 108.48/108.91  Deletedinuse: 16
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    368588
% 108.48/108.91  Kept:         70306
% 108.48/108.91  Inuse:        1071
% 108.48/108.91  Deleted:      990
% 108.48/108.91  Deletedinuse: 16
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    379517
% 108.48/108.91  Kept:         72317
% 108.48/108.91  Inuse:        1101
% 108.48/108.91  Deleted:      991
% 108.48/108.91  Deletedinuse: 17
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    390990
% 108.48/108.91  Kept:         74319
% 108.48/108.91  Inuse:        1125
% 108.48/108.91  Deleted:      991
% 108.48/108.91  Deletedinuse: 17
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    403401
% 108.48/108.91  Kept:         76375
% 108.48/108.91  Inuse:        1151
% 108.48/108.91  Deleted:      991
% 108.48/108.91  Deletedinuse: 17
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    419298
% 108.48/108.91  Kept:         78409
% 108.48/108.91  Inuse:        1172
% 108.48/108.91  Deleted:      993
% 108.48/108.91  Deletedinuse: 19
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    432491
% 108.48/108.91  Kept:         80834
% 108.48/108.91  Inuse:        1181
% 108.48/108.91  Deleted:      993
% 108.48/108.91  Deletedinuse: 19
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  Resimplifying clauses:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    447714
% 108.48/108.91  Kept:         84033
% 108.48/108.91  Inuse:        1206
% 108.48/108.91  Deleted:      1598
% 108.48/108.91  Deletedinuse: 19
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  
% 108.48/108.91  Intermediate Status:
% 108.48/108.91  Generated:    459059
% 108.48/108.91  Kept:         86262
% 108.48/108.91  Inuse:        1231
% 108.48/108.91  Deleted:      1598
% 108.48/108.91  Deletedinuse: 19
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.91  Done
% 108.48/108.91  
% 108.48/108.91  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    471609
% 108.48/108.92  Kept:         90026
% 108.48/108.92  Inuse:        1246
% 108.48/108.92  Deleted:      1598
% 108.48/108.92  Deletedinuse: 19
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    498159
% 108.48/108.92  Kept:         93040
% 108.48/108.92  Inuse:        1256
% 108.48/108.92  Deleted:      1598
% 108.48/108.92  Deletedinuse: 19
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    532601
% 108.48/108.92  Kept:         96182
% 108.48/108.92  Inuse:        1266
% 108.48/108.92  Deleted:      1598
% 108.48/108.92  Deletedinuse: 19
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    561801
% 108.48/108.92  Kept:         98197
% 108.48/108.92  Inuse:        1275
% 108.48/108.92  Deleted:      1598
% 108.48/108.92  Deletedinuse: 19
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    575562
% 108.48/108.92  Kept:         100438
% 108.48/108.92  Inuse:        1286
% 108.48/108.92  Deleted:      1598
% 108.48/108.92  Deletedinuse: 19
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    595820
% 108.48/108.92  Kept:         102539
% 108.48/108.92  Inuse:        1301
% 108.48/108.92  Deleted:      1598
% 108.48/108.92  Deletedinuse: 19
% 108.48/108.92  
% 108.48/108.92  Resimplifying clauses:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    617259
% 108.48/108.92  Kept:         106009
% 108.48/108.92  Inuse:        1316
% 108.48/108.92  Deleted:      2053
% 108.48/108.92  Deletedinuse: 19
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    636757
% 108.48/108.92  Kept:         109034
% 108.48/108.92  Inuse:        1336
% 108.48/108.92  Deleted:      2054
% 108.48/108.92  Deletedinuse: 20
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    652355
% 108.48/108.92  Kept:         111050
% 108.48/108.92  Inuse:        1359
% 108.48/108.92  Deleted:      2054
% 108.48/108.92  Deletedinuse: 20
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    664850
% 108.48/108.92  Kept:         113086
% 108.48/108.92  Inuse:        1377
% 108.48/108.92  Deleted:      2054
% 108.48/108.92  Deletedinuse: 20
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    675172
% 108.48/108.92  Kept:         115162
% 108.48/108.92  Inuse:        1387
% 108.48/108.92  Deleted:      2054
% 108.48/108.92  Deletedinuse: 20
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  
% 108.48/108.92  Intermediate Status:
% 108.48/108.92  Generated:    693844
% 108.48/108.92  Kept:         117224
% 108.48/108.92  Inuse:        1396
% 108.48/108.92  Deleted:      2054
% 108.48/108.92  Deletedinuse: 20
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 108.48/108.92  
% 108.48/108.92  Resimplifying inuse:
% 108.48/108.92  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    706839
% 207.97/208.48  Kept:         119403
% 207.97/208.48  Inuse:        1406
% 207.97/208.48  Deleted:      2054
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    720042
% 207.97/208.48  Kept:         121713
% 207.97/208.48  Inuse:        1416
% 207.97/208.48  Deleted:      2054
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    733568
% 207.97/208.48  Kept:         124299
% 207.97/208.48  Inuse:        1429
% 207.97/208.48  Deleted:      2054
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying clauses:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    740934
% 207.97/208.48  Kept:         126433
% 207.97/208.48  Inuse:        1431
% 207.97/208.48  Deleted:      2425
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    758966
% 207.97/208.48  Kept:         128563
% 207.97/208.48  Inuse:        1456
% 207.97/208.48  Deleted:      2425
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    776141
% 207.97/208.48  Kept:         130633
% 207.97/208.48  Inuse:        1481
% 207.97/208.48  Deleted:      2425
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    790038
% 207.97/208.48  Kept:         132802
% 207.97/208.48  Inuse:        1501
% 207.97/208.48  Deleted:      2425
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    804770
% 207.97/208.48  Kept:         134836
% 207.97/208.48  Inuse:        1519
% 207.97/208.48  Deleted:      2425
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    817671
% 207.97/208.48  Kept:         137114
% 207.97/208.48  Inuse:        1536
% 207.97/208.48  Deleted:      2425
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    833790
% 207.97/208.48  Kept:         139378
% 207.97/208.48  Inuse:        1556
% 207.97/208.48  Deleted:      2425
% 207.97/208.48  Deletedinuse: 20
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    873333
% 207.97/208.48  Kept:         142053
% 207.97/208.48  Inuse:        1561
% 207.97/208.48  Deleted:      2426
% 207.97/208.48  Deletedinuse: 21
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    913044
% 207.97/208.48  Kept:         144639
% 207.97/208.48  Inuse:        1566
% 207.97/208.48  Deleted:      2426
% 207.97/208.48  Deletedinuse: 21
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying clauses:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    927382
% 207.97/208.48  Kept:         146659
% 207.97/208.48  Inuse:        1574
% 207.97/208.48  Deleted:      2717
% 207.97/208.48  Deletedinuse: 21
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    940819
% 207.97/208.48  Kept:         148876
% 207.97/208.48  Inuse:        1581
% 207.97/208.48  Deleted:      2717
% 207.97/208.48  Deletedinuse: 21
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    951360
% 207.97/208.48  Kept:         151178
% 207.97/208.48  Inuse:        1586
% 207.97/208.48  Deleted:      2718
% 207.97/208.48  Deletedinuse: 22
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    968801
% 207.97/208.48  Kept:         154546
% 207.97/208.48  Inuse:        1598
% 207.97/208.48  Deleted:      2719
% 207.97/208.48  Deletedinuse: 23
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    976703
% 207.97/208.48  Kept:         157641
% 207.97/208.48  Inuse:        1599
% 207.97/208.48  Deleted:      2719
% 207.97/208.48  Deletedinuse: 23
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    988868
% 207.97/208.48  Kept:         159644
% 207.97/208.48  Inuse:        1613
% 207.97/208.48  Deleted:      2719
% 207.97/208.48  Deletedinuse: 23
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    1003960
% 207.97/208.48  Kept:         161648
% 207.97/208.48  Inuse:        1629
% 207.97/208.48  Deleted:      2719
% 207.97/208.48  Deletedinuse: 23
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    1021324
% 207.97/208.48  Kept:         164099
% 207.97/208.48  Inuse:        1641
% 207.97/208.48  Deleted:      2719
% 207.97/208.48  Deletedinuse: 23
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying clauses:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    1039749
% 207.97/208.48  Kept:         166115
% 207.97/208.48  Inuse:        1655
% 207.97/208.48  Deleted:      3084
% 207.97/208.48  Deletedinuse: 25
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    1056012
% 207.97/208.48  Kept:         168520
% 207.97/208.48  Inuse:        1676
% 207.97/208.48  Deleted:      3084
% 207.97/208.48  Deletedinuse: 25
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    1072053
% 207.97/208.48  Kept:         171495
% 207.97/208.48  Inuse:        1689
% 207.97/208.48  Deleted:      3084
% 207.97/208.48  Deletedinuse: 25
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    1086109
% 207.97/208.48  Kept:         173501
% 207.97/208.48  Inuse:        1696
% 207.97/208.48  Deleted:      3084
% 207.97/208.48  Deletedinuse: 25
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  Resimplifying inuse:
% 207.97/208.48  Done
% 207.97/208.48  
% 207.97/208.48  
% 207.97/208.48  Intermediate Status:
% 207.97/208.48  Generated:    1099696
% 207.97/208.48  Kept:         175568
% 207.97/208.48  Inuse:        1714
% 207.97/208.48  Deleted:      3085
% 207.97/208.48  Deletedinuse: 26Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------