%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV882-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n015.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 : Wed Jul 20 16:29:01 EDT 2022

% Result   : Timeout 300.02s 300.50s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV882-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Tue Jun 14 16:56:54 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.87/1.29  *** allocated 10000 integers for termspace/termends
% 0.87/1.29  *** allocated 10000 integers for clauses
% 0.87/1.29  *** allocated 10000 integers for justifications
% 0.87/1.29  *** allocated 15000 integers for termspace/termends
% 0.87/1.29  Bliksem 1.12
% 0.87/1.29  
% 0.87/1.29  
% 0.87/1.29  Automatic Strategy Selection
% 0.87/1.29  
% 0.87/1.29  Clauses:
% 0.87/1.29  [
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.87/1.29    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.29    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.87/1.29     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.87/1.29    'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 
% 0.87/1.29    'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.87/1.29    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.29    , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.29     [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.87/1.29     [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.87/1.29    , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, 
% 0.87/1.29    Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.87/1.29    X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, 
% 0.87/1.29    Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 0.87/1.29     ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.87/1.29     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.87/1.29     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 
% 0.87/1.29    Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.87/1.29    X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.87/1.29    X ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    X, T, 'tc_nat' ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.87/1.29    X ) ) ],
% 0.87/1.29     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.87/1.29    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.29     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.29     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.29     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.29     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 0.87/1.29    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.87/1.29    , U ) ) ],
% 0.87/1.29     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 0.87/1.29    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.87/1.29    , U ) ) ],
% 0.87/1.29     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 0.87/1.29    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.29     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.29    , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.29    , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ), =( X
% 0.87/1.29    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29     [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.29     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.29    , X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29    , Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29    , Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.87/1.29    X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.29     ), =( Z, Y ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29     ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.29     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 0.87/1.29    'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.29     ) ],
% 0.87/1.29     [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.87/1.29    'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.87/1.29    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.87/1.29    , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.29     ), 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.29     ), 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.29    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.87/1.29     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.29    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.87/1.29     ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.87/1.29     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'( 
% 0.87/1.29    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.87/1.29    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.87/1.29    X ) ) ), =( Z, T ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.87/1.29    X ) ) ), =( Z, T ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.87/1.29    X ) ) ), =( Y, T ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 0.87/1.29    X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.87/1.29    , X ), X ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.87/1.29    , X ), X ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.29    , X, 'tc_nat' ), X ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.29     ), 'tc_nat' ), X ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.87/1.29    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.29     ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.87/1.29     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.29     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.29    , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~( 
% 0.87/1.29    'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~( 
% 0.87/1.29    'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~( 
% 0.87/1.29    'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.87/1.29     ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~( 'c_in'( Y, T, U ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.87/1.29    , Z, U ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.87/1.29    , Z, U ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.87/1.29    , Z, U ) ) ],
% 0.87/1.29     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U, 
% 0.87/1.29    T ), U ) ) ],
% 0.87/1.29     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U, 
% 0.87/1.29    T ), U ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.87/1.29    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 0.87/1.29    'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.87/1.29    , X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.87/1.29    , X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.87/1.29    Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X ), X ), ~( 
% 0.87/1.29    'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.87/1.29    X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 0.87/1.29    X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.87/1.29     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.87/1.29    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.29    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.29    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.29     [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.87/1.29     ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29    , X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.87/1.29    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29    , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.87/1.29    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.29    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.87/1.29     ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    Y, T, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    Y, T, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 0.87/1.29    X ), X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    Z, T, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    Z, T, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.87/1.29    X ), X ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.87/1.29     ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.87/1.29     ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.29    , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.87/1.29    X, T, U ), Z ) ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.87/1.29    hAPP( X, U ) ) ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 0.87/1.29    'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( hAPP( Y, Z ), 'c_Finite__Set_Osetsum'( Y, T, 
% 0.87/1.29    U, X ), X ) ), 'c_in'( Z, T, U ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.29     ) ), ~( 'c_in'( Y, X, Z ) ), 'c_in'( Y, T, Z ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.29    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.29    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( 
% 0.87/1.29    U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U, 
% 0.87/1.29    X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.87/1.29    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( X, Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 0.87/1.29    , Y ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.29     ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Z ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29    , X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.87/1.29    'c_in'( X, T, Z ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 
% 0.87/1.29    T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.87/1.29    , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), ~( 'c_in'( Y, Z, T ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.87/1.29    , Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Y, 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( T, hAPP( Y, T ), 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.87/1.29    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 
% 0.87/1.29    'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ), 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), 'c_in'( T, Z, U ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.87/1.29     ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, 
% 0.87/1.29    X, T ), T ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.87/1.29    Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 0.87/1.29    Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.87/1.29    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ) ), 'c_in'( Y, Z, T ) ],
% 0.87/1.29     [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.29    T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( 
% 0.87/1.29    Y, Z, T ), T, U ) ) ],
% 0.87/1.29     [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 'c_in'( hAPP( 
% 0.87/1.29    X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~( 
% 0.87/1.29    'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.87/1.29    , 'tc_bool' ) ), Z ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), T ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.87/1.29    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.87/1.29    Y, Z ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.87/1.29    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.87/1.29    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.29    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Set_Oinsert'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.87/1.29     ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, 
% 0.87/1.29    X, T ), T ) ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ), 
% 0.87/1.29    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, 
% 0.87/1.29    'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.87/1.29    'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.87/1.29    , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.87/1.29    , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.29    'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.87/1.29     ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.29     ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.87/1.29    , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ), 
% 0.87/1.29    ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.87/1.29    ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.87/1.29    , 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y, 
% 0.87/1.29    'tc_nat' ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 
% 0.87/1.29    'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.87/1.29     ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z, 
% 0.87/1.29    'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 
% 0.87/1.29    'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.29    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29     [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( X, 
% 0.87/1.29    T, Y ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.29    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.29    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.87/1.29    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.87/1.29     ), Y ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.87/1.29    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29     ) ), =( Y, Z ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29     ) ), =( Y, Z ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.87/1.29     ), Y ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), 
% 0.87/1.29    ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.29     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.87/1.29    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.29     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.87/1.29    'tc_bool' ) ), Y, Z ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.29     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.29     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.87/1.29    , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.87/1.29    , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.87/1.29     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.87/1.29     ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.87/1.29    'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.87/1.29     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.87/1.29    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.87/1.29     [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( 
% 0.87/1.29    T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.87/1.29    , Z, 'tc_fun'( T, X ) ) ) ],
% 0.87/1.29     [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.87/1.29     ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.87/1.29     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.29    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.87/1.29    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.29    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.87/1.29    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.87/1.29    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.29     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U, 
% 0.87/1.29    Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.87/1.29    , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), 
% 0.87/1.29    ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( 
% 0.87/1.29    Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Y ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( Z, Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Y ), 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ), X ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 0.87/1.29    Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ) ],
% 0.87/1.29     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.87/1.29     ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.87/1.29     ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), X ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.87/1.29    ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ) ), hBOOL( 
% 0.87/1.29    hAPP( X, Z ) ) ],
% 0.87/1.29     [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ) ), hBOOL( 
% 0.87/1.29    hAPP( X, Z ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.29     ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 0.87/1.29    Y, U ), 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.87/1.29    'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, X ), X ) ), ~( 'c_in'( 
% 0.87/1.29    U, Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.29    , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), 
% 0.87/1.29    'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( 
% 0.87/1.29    Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.87/1.29     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 0.87/1.29     ), X, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 0.87/1.29    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.87/1.29    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.87/1.29    , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.87/1.29    ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.87/1.29    , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.87/1.29    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 
% 0.87/1.29    'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( 
% 0.87/1.29    Y, T ), X ) ), ~( 'c_in'( T, Z, U ) ), ~( 'c_Finite__Set_Ofinite'( Z, U )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'( 
% 0.87/1.29    Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'( 
% 0.87/1.29    U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( 'c_in'( T
% 0.87/1.29    , Z, U ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( T, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_in'( T, X, Z ) ), ~( 'c_in'( Y, X, Z ) ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.29    X, Z ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_in'( Y, X, Z ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Ocard'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'c_in'( Y, Z, T ), 
% 0.87/1.29    ~( 'c_in'( Y, X, T ) ), ~( 'c_Finite__Set_Ofinite'( X, T ) ) ],
% 0.87/1.29     [ 'v_wt'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' ) ), ~( 
% 0.87/1.29    'c_in'( X, 'v_U', 'tc_Com_Opname' ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( 'c_in'( Z, Y, X
% 0.87/1.29     ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 'c_in'( Y, Z, X )
% 0.87/1.29     ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'( 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ), =( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'( 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ), =( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.87/1.29    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ), ~( 
% 0.87/1.29    'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ), 
% 0.87/1.29    T ) ],
% 0.87/1.29     [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), T ), U, T ), U ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.87/1.29    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.87/1.29    , Z ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ), 
% 0.87/1.29    'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y
% 0.87/1.29    , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.87/1.29    'c_in'( Y, X, T ), 'c_in'( Y, Z, T ) ],
% 0.87/1.29     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.29    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.87/1.29    'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( 
% 0.87/1.29    Y, T ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 0.87/1.29    hAPP( Y, 
% 0.87/1.29    'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1'( Y, 
% 0.87/1.29    X ) ), hAPP( Y, 'c_Suc'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1'( Y, 
% 0.87/1.29    X ) ) ), X ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.87/1.29     ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.87/1.29     ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), 'c_Finite__Set_Ofinite'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.87/1.29     ), T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.87/1.29     ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), 'c_in'( 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( 
% 0.87/1.29    Y, U, X, Z, T ), Y, Z ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), ~( 'c_in'( hAPP( X, 
% 0.87/1.29    'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ) ), 
% 0.87/1.29    U, T ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), 'c_in'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ), Y
% 0.87/1.29    , Z ) ],
% 0.87/1.29     [ 'c_in'( hAPP( X, Y ), 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z
% 0.87/1.29    , 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, 
% 0.87/1.29    U, W, T ), hAPP( Z, 'c_Set_Oimage'( X, U, W, T ) ), 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_in'( Y, U, W ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), ~( 'c_in'( hAPP( X, 
% 0.87/1.29    'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ) ), U, T
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.29    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Ocard'( X, Z ), 
% 0.87/1.29    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), ~( 'c_in'( Y, X, Z )
% 0.87/1.29     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.87/1.29    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.87/1.29    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( 
% 0.87/1.29    X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.87/1.29    , Z ) ) ],
% 0.87/1.29     [ =( X, 'c_Set_Oimage'( Y, 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 0.87/1.29    , T, U ), T, U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 
% 0.87/1.29    'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, U ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.87/1.29    , T, U ), T ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X, T, U ), 
% 0.87/1.29    'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.87/1.29     ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.87/1.29    , T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.87/1.29     [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 
% 0.87/1.29    'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.29    , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.87/1.29    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.87/1.29    , Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), 
% 0.87/1.29    'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 
% 0.87/1.29    X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.87/1.29     ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( hAPP( 'v_mgt__call', Y
% 0.87/1.29     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a'
% 0.87/1.29     ) ) ), ~( hBOOL( hAPP( hAPP( 'v_P', 'c_Set_Oinsert'( hAPP( 'v_mgt__call'
% 0.87/1.29    , Y ), X, 't_a' ) ), 'c_Set_Oinsert'( 'v_mgt'( 'c_Option_Othe'( 
% 0.87/1.29    'c_Com_Obody'( Y ), 'tc_Com_Ocom' ) ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.87/1.29     ), Z, T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.29    T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' )
% 0.87/1.29     ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ), 
% 0.87/1.29    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.29     ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.29    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.29    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.87/1.29    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 0.87/1.29    'c_in'( U, T, Z ) ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z
% 0.87/1.29     ), Z ), 'c_Suc'( 'c_Finite__Set_Ocard'( Y, Z ) ) ), =( 
% 0.87/1.29    'c_Finite__Set_Ocard'( Y, Z ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), 
% 0.87/1.29    ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ), Z ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_Finite__Set_Ocard'( X, Z ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' )
% 0.87/1.29     ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( X, Z ) ), 'c_in'( Y, X, Z ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'( 
% 0.87/1.29    'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( 
% 0.87/1.29    X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X
% 0.87/1.29    , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 0.87/1.29    , Z ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( 
% 0.87/1.29    Z, T ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_Set_Oimage'( U, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.87/1.29     ) ), ~( 'c_Fun_Oinj__on'( U, X, Y, T ) ) ],
% 0.87/1.29     [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( X, Z ) ), ~( 'c_in'( Y, X, Z ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 0.87/1.29     ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( hAPP( 
% 0.87/1.29    'v_mgt__call', 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U', 
% 0.87/1.29    'v_mgt__call' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 
% 0.87/1.29    'tc_bool' ) ), 't_a' ) ) ) ), ~( 'v_wt'( Y ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 0.87/1.29     ), 'c_in'( 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U', 'v_mgt__call'
% 0.87/1.29     ), 'v_U', 'tc_Com_Opname' ), ~( 'v_wt'( Y ) ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.87/1.29     ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.87/1.29     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.29     ), ~( 'c_in'( X, T, Z ) ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.87/1.29    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.87/1.29    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.87/1.29    , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.87/1.29    , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.87/1.29     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.29    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.29    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.87/1.29    Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.29    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.29    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.87/1.29    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.87/1.29    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.87/1.29    'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.87/1.29    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), 
% 0.87/1.29    'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.87/1.29    'c_lessequals'( Z, Y, X ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.29     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.87/1.29     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.29     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.87/1.29    , T, Z ) ) ],
% 0.87/1.29     [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y, 
% 0.87/1.29    'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.87/1.29    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.87/1.29     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.29     ), Y ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.29     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.29     ), Y ) ) ],
% 0.87/1.29     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.29     ), Y ) ) ],
% 0.87/1.29     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.29    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.29    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.29     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.87/1.29    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.87/1.29    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_in'( X, Y, Z ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.29    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.87/1.29     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.29    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.87/1.29     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.29    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.87/1.29     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.29    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.29    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.29    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.29    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.87/1.29    , Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.87/1.29    , Z ) ) ],
% 0.87/1.29     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29     ) ), Y ) ) ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_lessequals'( 'c_Finite__Set_Ocard'( Y, Z ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.87/1.29     ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.29     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( 
% 0.87/1.29    'c_Set_Oinsert'( Z, X, Y ), Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.29    X, Y ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ), X ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.29    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.29    , X, 'tc_nat' ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.87/1.29    X, T ), Y ) ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.87/1.29    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.87/1.29     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.29     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.29    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( 
% 0.87/1.29    Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.87/1.29    , U ) ) ],
% 0.87/1.29     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.87/1.29     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'( 
% 0.87/1.29    'c_Finite__Set_Ocard'( Y, Z ) ) ), 'c_in'( X, Y, Z ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.29    , Y ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), 
% 0.87/1.29    'c_Suc'( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.29    Y, 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.87/1.29    'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.87/1.29    , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.87/1.29    'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.87/1.29     ],
% 0.87/1.29     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.29    , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.29    , T, X ) ) ), =( Z, T ) ],
% 0.87/1.29     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.29    , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.87/1.29    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X, 
% 0.87/1.29    'tc_nat' ) ],
% 0.87/1.29     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.29    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.87/1.29     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.87/1.29    , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.29    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.29     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.87/1.29     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.87/1.29    , X, 'tc_nat' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X, 
% 0.87/1.29    'tc_nat' ) ],
% 0.87/1.29     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.87/1.29    'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.87/1.29    , T ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ), 
% 0.87/1.29    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.29     ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.87/1.30    , T ) ],
% 0.87/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.30    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.87/1.30    , Z ) ],
% 0.87/1.30     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.87/1.30    'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.87/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 
% 0.87/1.30    X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ), 
% 0.87/1.30    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.30    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.87/1.30     [ hBOOL( hAPP( hAPP( 'v_P', X ), Y ) ), ~( 'c_lessequals'( Y, X, 
% 0.87/1.30    'tc_fun'( 't_a', 'tc_bool' ) ) ) ],
% 0.87/1.30     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.87/1.30     [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.30     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.30    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30     ) ), Z, X ) ) ],
% 0.87/1.30     [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( 
% 0.87/1.30    Z, Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.87/1.30    , ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.30     [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T
% 0.87/1.30     ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.30    Y, Z ) ) ],
% 0.87/1.30     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.87/1.30    Y, X ) ],
% 0.87/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.87/1.30    , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.87/1.30    ,
% 0.87/1.30     [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~( 
% 0.87/1.30    'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.30     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.87/1.30    , U ), U ) ],
% 0.87/1.30     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.87/1.30    , U ), U ) ],
% 0.87/1.30     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.87/1.30    , Z, T ) ) ],
% 0.87/1.30     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.87/1.30    , Z, T ) ) ],
% 0.87/1.30     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.87/1.30    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.87/1.30     [ 'c_Finite__Set_Ofinite'( 'v_U', 'tc_Com_Opname' ) ],
% 0.87/1.30     [ 'c_lessequals'( 'v_G', 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 
% 0.87/1.30    'tc_Com_Opname', 't_a' ), 'tc_fun'( 't_a', 'tc_bool' ) ) ],
% 0.87/1.30     [ 'c_lessequals'( 'c_Suc'( 'v_na' ), 'c_Finite__Set_Ocard'( 
% 0.87/1.30    'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname', 't_a' ), 't_a' ), 
% 0.87/1.30    'tc_nat' ) ],
% 0.87/1.30     [ =( 'c_Finite__Set_Ocard'( 'v_G', 't_a' ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.30    'c_Finite__Set_Ocard'( 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 
% 0.87/1.30    'tc_Com_Opname', 't_a' ), 't_a' ), 'c_Suc'( 'v_na' ), 'tc_nat' ) ) ],
% 0.87/1.30     [ 'c_in'( 'v_pn', 'v_U', 'tc_Com_Opname' ) ],
% 0.87/1.30     [ 'c_in'( hAPP( 'v_mgt__call', 'v_pn' ), 'v_G', 't_a' ) ],
% 0.87/1.30     [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_G' ), 'c_Set_Oinsert'( hAPP( 
% 0.87/1.30    'v_mgt__call', 'v_pn' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a'
% 0.87/1.30    , 'tc_bool' ) ), 't_a' ) ) ) ) ],
% 0.87/1.30     [ ~( =( 'c_Finite__Set_Ocard'( X, 't_a' ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.30    'c_Finite__Set_Ocard'( 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 
% 0.87/1.30    'tc_Com_Opname', 't_a' ), 't_a' ), 'v_na', 'tc_nat' ) ) ), ~( 
% 0.87/1.30    'c_lessequals'( X, 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname'
% 0.87/1.30    , 't_a' ), 'tc_fun'( 't_a', 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'v_P', X
% 0.87/1.30     ), 'c_Set_Oinsert'( 'v_mgt'( Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.30    'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ), ~( 'v_wt'( Y ) ) ],
% 0.87/1.30     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.30    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.87/1.30     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.30    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.87/1.30    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.30     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.30    'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.30     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.30    'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.30     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.87/1.30    Y ) ) ],
% 0.87/1.30     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.30    ,
% 0.87/1.30     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.87/1.30     ],
% 0.87/1.30     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.87/1.30     ) ],
% 0.87/1.30     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.87/1.30     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.87/1.30     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.87/1.30     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.30     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.30     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.30     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.87/1.30     [ 'c_fequal'( X, X, Y ) ],
% 0.87/1.30     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.87/1.30  ] .
% 0.87/1.30  
% 0.87/1.30  
% 0.87/1.30  percentage equality = 0.224125, percentage horn = 0.865922
% 0.87/1.30  This is a problem with some equality
% 0.87/1.30  
% 0.87/1.30  
% 0.87/1.30  
% 0.87/1.30  Options Used:
% 0.87/1.30  
% 0.87/1.30  useres =            1
% 0.87/1.30  useparamod =        1
% 0.87/1.30  useeqrefl =         1
% 0.87/1.30  useeqfact =         1
% 0.87/1.30  usefactor =         1
% 0.87/1.30  usesimpsplitting =  0
% 0.87/1.30  usesimpdemod =      5
% 0.87/1.30  usesimpres =        3
% 0.87/1.30  
% 0.87/1.30  resimpinuse      =  1000
% 0.87/1.30  resimpclauses =     20000
% 0.87/1.30  substype =          eqrewr
% 0.87/1.30  backwardsubs =      1
% 0.87/1.30  selectoldest =      5
% 0.87/1.30  
% 0.87/1.30  litorderings [0] =  split
% 0.87/1.30  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.87/1.30  
% 0.87/1.30  termordering =      kbo
% 0.87/1.30  
% 0.87/1.30  litapriori =        0
% 0.87/1.30  termapriori =       1
% 0.87/1.30  litaposteriori =    0
% 0.87/1.30  termaposteriori =   0
% 0.87/1.30  demodaposteriori =  0
% 0.87/1.30  ordereqreflfact =   0
% 0.87/1.30  
% 0.87/1.30  litselect =         negord
% 0.87/1.30  
% 0.87/1.30  maxweight =         15
% 0.87/1.30  maxdepth =          30000
% 0.87/1.30  maxlength =         115
% 0.87/1.30  maxnrvars =         195
% 0.87/1.30  excuselevel =       1
% 0.87/1.30  increasemaxweight = 1
% 0.87/1.30  
% 0.87/1.30  maxselected =       10000000
% 0.87/1.30  maxnrclauses =      10000000
% 0.87/1.30  
% 0.87/1.30  showgenerated =    0
% 0.87/1.30  showkept =         0
% 0.87/1.30  showselected =     0
% 0.87/1.30  showdeleted =      0
% 0.87/1.30  showresimp =       1
% 0.87/1.30  showstatus =       2000
% 0.87/1.30  
% 0.87/1.30  prologoutput =     1
% 0.87/1.30  nrgoals =          5000000
% 0.87/1.30  totalproof =       1
% 0.87/1.30  
% 0.87/1.30  Symbols occurring in the translation:
% 0.87/1.30  
% 0.87/1.30  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.87/1.30  .  [1, 2]      (w:1, o:108, a:1, s:1, b:0), 
% 0.87/1.30  !  [4, 1]      (w:0, o:65, a:1, s:1, b:0), 
% 0.87/1.30  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.87/1.30  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.87/1.30  'class_OrderedGroup_Oab__semigroup__add'  [40, 1]      (w:1, o:71, a:1, s:1
% 0.87/1.30    , b:0), 
% 0.87/1.30  'c_HOL_Oplus__class_Oplus'  [43, 3]      (w:1, o:145, a:1, s:1, b:0), 
% 0.87/1.30  'class_OrderedGroup_Ocomm__monoid__add'  [45, 1]      (w:1, o:72, a:1, s:1
% 0.87/1.30    , b:0), 
% 0.87/1.30  'tc_nat'  [48, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.87/1.30  'class_OrderedGroup_Oab__group__add'  [53, 1]      (w:1, o:73, a:1, s:1, b:
% 0.87/1.30    0), 
% 0.87/1.30  'class_Ring__and__Field_Ocomm__semiring__1'  [54, 1]      (w:1, o:74, a:1
% 0.87/1.30    , s:1, b:0), 
% 0.87/1.30  'class_Orderings_Oorder'  [55, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 0.87/1.30  'c_HOL_Oord__class_Oless'  [56, 3]      (w:1, o:144, a:1, s:1, b:0), 
% 0.87/1.30  'tc_bool'  [59, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 0.87/1.30  'tc_fun'  [60, 2]      (w:1, o:133, a:1, s:1, b:0), 
% 0.87/1.30  'class_Orderings_Opreorder'  [62, 1]      (w:1, o:76, a:1, s:1, b:0), 
% 0.87/1.30  'class_OrderedGroup_Opordered__comm__monoid__add'  [63, 1]      (w:1, o:77
% 0.87/1.30    , a:1, s:1, b:0), 
% 0.87/1.30  'c_HOL_Ozero__class_Ozero'  [64, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 0.87/1.30  'c_lessequals'  [65, 3]      (w:1, o:146, a:1, s:1, b:0), 
% 0.87/1.30  'class_OrderedGroup_Olordered__ab__group__add'  [66, 1]      (w:1, o:79, a:
% 0.87/1.30    1, s:1, b:0), 
% 0.87/1.30  'c_Suc'  [67, 1]      (w:1, o:80, a:1, s:1, b:0), 
% 6.54/7.00  'c_HOL_Oone__class_Oone'  [68, 1]      (w:1, o:81, a:1, s:1, b:0), 
% 6.54/7.00  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [69, 1]      
% 6.54/7.00    (w:1, o:82, a:1, s:1, b:0), 
% 6.54/7.00  'c_HOL_Ominus__class_Ominus'  [71, 3]      (w:1, o:147, a:1, s:1, b:0), 
% 6.54/7.00  'c_Fun_Oinj__on'  [73, 4]      (w:1, o:154, a:1, s:1, b:0), 
% 6.54/7.00  'c_Set_Ovimage'  [74, 4]      (w:1, o:155, a:1, s:1, b:0), 
% 6.54/7.00  'c_COMBK'  [76, 3]      (w:1, o:148, a:1, s:1, b:0), 
% 6.54/7.00  'c_Finite__Set_Osetsum'  [77, 4]      (w:1, o:156, a:1, s:1, b:0), 
% 6.54/7.00  'class_Nat_Osemiring__char__0'  [80, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 6.54/7.00  'c_Nat_Osemiring__1__class_Oof__nat'  [81, 2]      (w:1, o:134, a:1, s:1
% 6.54/7.00    , b:0), 
% 6.54/7.00  'class_Ring__and__Field_Oidom'  [82, 1]      (w:1, o:83, a:1, s:1, b:0), 
% 6.54/7.00  'class_Int_Onumber__ring'  [83, 1]      (w:1, o:85, a:1, s:1, b:0), 
% 6.54/7.00  hAPP  [85, 2]      (w:1, o:135, a:1, s:1, b:0), 
% 6.54/7.00  'c_OrderedGroup_Oab__semigroup__mult'  [86, 2]      (w:1, o:136, a:1, s:1
% 6.54/7.00    , b:0), 
% 6.54/7.00  'class_Ring__and__Field_Oordered__idom'  [87, 1]      (w:1, o:86, a:1, s:1
% 6.54/7.00    , b:0), 
% 6.54/7.00  'class_Ring__and__Field_Oordered__semidom'  [88, 1]      (w:1, o:87, a:1
% 6.54/7.00    , s:1, b:0), 
% 6.54/7.00  'class_Ring__and__Field_Ozero__neq__one'  [89, 1]      (w:1, o:88, a:1, s:1
% 6.54/7.00    , b:0), 
% 6.54/7.00  'c_Finite__Set_Ofinite'  [90, 2]      (w:1, o:137, a:1, s:1, b:0), 
% 6.54/7.00  'c_Orderings_Obot__class_Obot'  [91, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 6.54/7.00  'class_Orderings_Olinorder'  [92, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 6.54/7.00  hBOOL  [94, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 6.54/7.00  'class_Ring__and__Field_Osemiring__1'  [98, 1]      (w:1, o:94, a:1, s:1
% 6.54/7.00    , b:0), 
% 6.54/7.00  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [99, 1]      (w:1, o:95
% 6.54/7.00    , a:1, s:1, b:0), 
% 6.54/7.00  'class_OrderedGroup_Ocancel__semigroup__add'  [100, 1]      (w:1, o:96, a:1
% 6.54/7.00    , s:1, b:0), 
% 6.54/7.00  'class_OrderedGroup_Omonoid__add'  [101, 1]      (w:1, o:97, a:1, s:1, b:0)
% 6.54/7.00    , 
% 6.54/7.00  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [102, 1]      
% 6.54/7.00    (w:1, o:98, a:1, s:1, b:0), 
% 6.54/7.00  'c_in'  [103, 3]      (w:1, o:149, a:1, s:1, b:0), 
% 6.54/7.00  'class_OrderedGroup_Opordered__ab__group__add'  [105, 1]      (w:1, o:99
% 6.54/7.00    , a:1, s:1, b:0), 
% 6.54/7.00  'class_Complete__Lattice_Ocomplete__lattice'  [106, 1]      (w:1, o:100, a:
% 6.54/7.00    1, s:1, b:0), 
% 6.54/7.00  'c_Inductive_Ocomplete__lattice__class_Ogfp'  [108, 2]      (w:1, o:138, a:
% 6.54/7.00    1, s:1, b:0), 
% 6.54/7.00  'class_OrderedGroup_Opordered__ab__semigroup__add'  [109, 1]      (w:1, o:
% 6.54/7.00    101, a:1, s:1, b:0), 
% 6.54/7.00  'c_Set_Oinsert'  [111, 3]      (w:1, o:150, a:1, s:1, b:0), 
% 6.54/7.00  'c_Finite__Set_Ocard'  [112, 2]      (w:1, o:139, a:1, s:1, b:0), 
% 6.54/7.00  'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'  [113, 3
% 6.54/7.00    ]      (w:1, o:151, a:1, s:1, b:0), 
% 6.54/7.00  'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'  [114, 3
% 6.54/7.00    ]      (w:1, o:152, a:1, s:1, b:0), 
% 6.54/7.00  'c_Set_Oimage'  [115, 4]      (w:1, o:157, a:1, s:1, b:0), 
% 6.54/7.00  'c_Finite__Set_Olinorder__class_OMax'  [116, 2]      (w:1, o:140, a:1, s:1
% 6.54/7.00    , b:0), 
% 6.54/7.00  'c_Finite__Set_Olinorder__class_OMin'  [117, 2]      (w:1, o:141, a:1, s:1
% 6.54/7.00    , b:0), 
% 6.54/7.00  'class_OrderedGroup_Ogroup__add'  [120, 1]      (w:1, o:102, a:1, s:1, b:0)
% 6.54/7.00    , 
% 6.54/7.00  'class_HOL_Oord'  [122, 1]      (w:1, o:84, a:1, s:1, b:0), 
% 6.54/7.00  'class_Ring__and__Field_Oring'  [125, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 6.54/7.00  'c_Com_Obody'  [127, 1]      (w:1, o:103, a:1, s:1, b:0), 
% 6.54/7.00  'tc_Com_Ocom'  [128, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 6.54/7.00  'c_Option_Othe'  [129, 2]      (w:1, o:142, a:1, s:1, b:0), 
% 6.54/7.00  'v_wt'  [130, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 6.54/7.00  'v_U'  [131, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 6.54/7.00  'tc_Com_Opname'  [132, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 6.54/7.00  'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1'  [135
% 6.54/7.00    , 2]      (w:1, o:143, a:1, s:1, b:0), 
% 6.54/7.00  'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'  [136, 5]      (w:1, o:159
% 6.54/7.00    , a:1, s:1, b:0), 
% 6.54/7.00  'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'  [137, 5]      (w:1
% 6.54/7.00    , o:160, a:1, s:1, b:0), 
% 6.54/7.00  'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'  [138, 5
% 6.54/7.00    ]      (w:1, o:161, a:1, s:1, b:0), 
% 6.54/7.00  'class_Ring__and__Field_Oring__1'  [139, 1]      (w:1, o:93, a:1, s:1, b:0)
% 6.54/7.00    , 
% 6.54/7.00  'v_P'  [140, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 6.54/7.00  'v_mgt__call'  [142, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 30.68/31.08  't_a'  [143, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 30.68/31.08  'v_mgt'  [144, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 30.68/31.08  'v_sko__local__Xassms__3__1'  [147, 4]      (w:1, o:158, a:1, s:1, b:0), 
% 30.68/31.08  'class_Orderings_Obot'  [151, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 30.68/31.08  'class_Finite__Set_Ofinite_Ofinite'  [154, 1]      (w:1, o:107, a:1, s:1
% 30.68/31.08    , b:0), 
% 30.68/31.08  'v_G'  [155, 0]      (w:1, o:59, a:1, s:1, b:0), 
% 30.68/31.08  'v_na'  [156, 0]      (w:1, o:60, a:1, s:1, b:0), 
% 30.68/31.08  'v_pn'  [157, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 30.68/31.08  'c_fequal'  [160, 3]      (w:1, o:153, a:1, s:1, b:0).
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Starting Search:
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    5789
% 30.68/31.08  Kept:         2268
% 30.68/31.08  Inuse:        186
% 30.68/31.08  Deleted:      5
% 30.68/31.08  Deletedinuse: 0
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    11663
% 30.68/31.08  Kept:         4275
% 30.68/31.08  Inuse:        248
% 30.68/31.08  Deleted:      5
% 30.68/31.08  Deletedinuse: 0
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    23169
% 30.68/31.08  Kept:         6290
% 30.68/31.08  Inuse:        319
% 30.68/31.08  Deleted:      5
% 30.68/31.08  Deletedinuse: 0
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    37549
% 30.68/31.08  Kept:         8360
% 30.68/31.08  Inuse:        394
% 30.68/31.08  Deleted:      8
% 30.68/31.08  Deletedinuse: 1
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    50068
% 30.68/31.08  Kept:         10398
% 30.68/31.08  Inuse:        423
% 30.68/31.08  Deleted:      10
% 30.68/31.08  Deletedinuse: 2
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    66040
% 30.68/31.08  Kept:         12502
% 30.68/31.08  Inuse:        496
% 30.68/31.08  Deleted:      33
% 30.68/31.08  Deletedinuse: 23
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    77676
% 30.68/31.08  Kept:         14587
% 30.68/31.08  Inuse:        526
% 30.68/31.08  Deleted:      33
% 30.68/31.08  Deletedinuse: 23
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    87516
% 30.68/31.08  Kept:         16682
% 30.68/31.08  Inuse:        551
% 30.68/31.08  Deleted:      39
% 30.68/31.08  Deletedinuse: 29
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    99552
% 30.68/31.08  Kept:         18690
% 30.68/31.08  Inuse:        615
% 30.68/31.08  Deleted:      40
% 30.68/31.08  Deletedinuse: 29
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying clauses:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    110952
% 30.68/31.08  Kept:         20712
% 30.68/31.08  Inuse:        665
% 30.68/31.08  Deleted:      820
% 30.68/31.08  Deletedinuse: 29
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    120591
% 30.68/31.08  Kept:         22770
% 30.68/31.08  Inuse:        693
% 30.68/31.08  Deleted:      841
% 30.68/31.08  Deletedinuse: 48
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    137180
% 30.68/31.08  Kept:         24826
% 30.68/31.08  Inuse:        738
% 30.68/31.08  Deleted:      846
% 30.68/31.08  Deletedinuse: 53
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    150588
% 30.68/31.08  Kept:         26841
% 30.68/31.08  Inuse:        783
% 30.68/31.08  Deleted:      847
% 30.68/31.08  Deletedinuse: 53
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    161798
% 30.68/31.08  Kept:         29005
% 30.68/31.08  Inuse:        821
% 30.68/31.08  Deleted:      854
% 30.68/31.08  Deletedinuse: 54
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    171803
% 30.68/31.08  Kept:         31104
% 30.68/31.08  Inuse:        846
% 30.68/31.08  Deleted:      854
% 30.68/31.08  Deletedinuse: 54
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    182995
% 30.68/31.08  Kept:         33334
% 30.68/31.08  Inuse:        891
% 30.68/31.08  Deleted:      854
% 30.68/31.08  Deletedinuse: 54
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    192092
% 30.68/31.08  Kept:         35344
% 30.68/31.08  Inuse:        945
% 30.68/31.08  Deleted:      856
% 30.68/31.08  Deletedinuse: 56
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    204770
% 30.68/31.08  Kept:         38009
% 30.68/31.08  Inuse:        966
% 30.68/31.08  Deleted:      856
% 30.68/31.08  Deletedinuse: 56
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    219581
% 30.68/31.08  Kept:         40042
% 30.68/31.08  Inuse:        1005
% 30.68/31.08  Deleted:      856
% 30.68/31.08  Deletedinuse: 56
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying clauses:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    233875
% 30.68/31.08  Kept:         42051
% 30.68/31.08  Inuse:        1055
% 30.68/31.08  Deleted:      1827
% 30.68/31.08  Deletedinuse: 57
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  Resimplifying inuse:
% 30.68/31.08  Done
% 30.68/31.08  
% 30.68/31.08  
% 30.68/31.08  Intermediate Status:
% 30.68/31.08  Generated:    249333
% 30.68/31.08  Kept:         45477
% 30.68/31.08  Inuse:        1075
% 30.68/31.08  Deleted:      1828
% 30.68/31.08  Deletedinuse: 57
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  
% 92.32/92.82  Intermediate Status:
% 92.32/92.82  Generated:    257623
% 92.32/92.82  Kept:         47624
% 92.32/92.82  Inuse:        1087
% 92.32/92.82  Deleted:      1831
% 92.32/92.82  Deletedinuse: 57
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  
% 92.32/92.82  Intermediate Status:
% 92.32/92.82  Generated:    276429
% 92.32/92.82  Kept:         51098
% 92.32/92.82  Inuse:        1134
% 92.32/92.82  Deleted:      1834
% 92.32/92.82  Deletedinuse: 57
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  
% 92.32/92.82  Intermediate Status:
% 92.32/92.82  Generated:    286915
% 92.32/92.82  Kept:         53168
% 92.32/92.82  Inuse:        1163
% 92.32/92.82  Deleted:      1835
% 92.32/92.82  Deletedinuse: 57
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  
% 92.32/92.82  Intermediate Status:
% 92.32/92.82  Generated:    297846
% 92.32/92.82  Kept:         57018
% 92.32/92.82  Inuse:        1176
% 92.32/92.82  Deleted:      1835
% 92.32/92.82  Deletedinuse: 57
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  
% 92.32/92.82  Intermediate Status:
% 92.32/92.82  Generated:    311517
% 92.32/92.82  Kept:         59222
% 92.32/92.82  Inuse:        1198
% 92.32/92.82  Deleted:      1835
% 92.32/92.82  Deletedinuse: 57
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  Resimplifying clauses:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  Resimplifying inuse:
% 92.32/92.82  Done
% 92.32/92.82  
% 92.32/92.82  
% 92.32/92.82  Intermediate Status:
% 92.32/92.82  Generated:    325337
% 92.32/92.82  Kept:         61502
% 92.32/92.82  Inuse:        1238
% 92.32/92.82  Deleted:      2250
% 92.42/92.82  Deletedinuse: 57
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    336366
% 92.42/92.82  Kept:         63883
% 92.42/92.82  Inuse:        1248
% 92.42/92.82  Deleted:      2250
% 92.42/92.82  Deletedinuse: 57
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    347582
% 92.42/92.82  Kept:         66533
% 92.42/92.82  Inuse:        1268
% 92.42/92.82  Deleted:      2250
% 92.42/92.82  Deletedinuse: 57
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    370681
% 92.42/92.82  Kept:         69100
% 92.42/92.82  Inuse:        1303
% 92.42/92.82  Deleted:      2251
% 92.42/92.82  Deletedinuse: 58
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    385860
% 92.42/92.82  Kept:         71137
% 92.42/92.82  Inuse:        1338
% 92.42/92.82  Deleted:      2252
% 92.42/92.82  Deletedinuse: 59
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    401438
% 92.42/92.82  Kept:         73291
% 92.42/92.82  Inuse:        1377
% 92.42/92.82  Deleted:      2254
% 92.42/92.82  Deletedinuse: 60
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    412026
% 92.42/92.82  Kept:         75344
% 92.42/92.82  Inuse:        1397
% 92.42/92.82  Deleted:      2254
% 92.42/92.82  Deletedinuse: 60
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    428278
% 92.42/92.82  Kept:         78205
% 92.42/92.82  Inuse:        1417
% 92.42/92.82  Deleted:      2257
% 92.42/92.82  Deletedinuse: 63
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    441771
% 92.42/92.82  Kept:         80249
% 92.42/92.82  Inuse:        1437
% 92.42/92.82  Deleted:      2261
% 92.42/92.82  Deletedinuse: 67
% 92.42/92.82  
% 92.42/92.82  Resimplifying clauses:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    455934
% 92.42/92.82  Kept:         83148
% 92.42/92.82  Inuse:        1453
% 92.42/92.82  Deleted:      2926
% 92.42/92.82  Deletedinuse: 68
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    468086
% 92.42/92.82  Kept:         85397
% 92.42/92.82  Inuse:        1477
% 92.42/92.82  Deleted:      2926
% 92.42/92.82  Deletedinuse: 68
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    480926
% 92.42/92.82  Kept:         87455
% 92.42/92.82  Inuse:        1492
% 92.42/92.82  Deleted:      2926
% 92.42/92.82  Deletedinuse: 68
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    500977
% 92.42/92.82  Kept:         90456
% 92.42/92.82  Inuse:        1522
% 92.42/92.82  Deleted:      2926
% 92.42/92.82  Deletedinuse: 68
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    512351
% 92.42/92.82  Kept:         92885
% 92.42/92.82  Inuse:        1542
% 92.42/92.82  Deleted:      2926
% 92.42/92.82  Deletedinuse: 68
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    523653
% 92.42/92.82  Kept:         95146
% 92.42/92.82  Inuse:        1552
% 92.42/92.82  Deleted:      2926
% 92.42/92.82  Deletedinuse: 68
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    534427
% 92.42/92.82  Kept:         97228
% 92.42/92.82  Inuse:        1562
% 92.42/92.82  Deleted:      2926
% 92.42/92.82  Deletedinuse: 68
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    546789
% 92.42/92.82  Kept:         99269
% 92.42/92.82  Inuse:        1583
% 92.42/92.82  Deleted:      2926
% 92.42/92.82  Deletedinuse: 68
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    556333
% 92.42/92.82  Kept:         102699
% 92.42/92.82  Inuse:        1590
% 92.42/92.82  Deleted:      2926
% 92.42/92.82  Deletedinuse: 68
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying clauses:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  
% 92.42/92.82  Intermediate Status:
% 92.42/92.82  Generated:    568398
% 92.42/92.82  Kept:         104714
% 92.42/92.82  Inuse:        1608
% 92.42/92.82  Deleted:      3210
% 92.42/92.82  Deletedinuse: 70
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 92.42/92.82  Done
% 92.42/92.82  
% 92.42/92.82  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    582075
% 212.73/213.20  Kept:         106963
% 212.73/213.20  Inuse:        1631
% 212.73/213.20  Deleted:      3211
% 212.73/213.20  Deletedinuse: 71
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    594487
% 212.73/213.20  Kept:         108970
% 212.73/213.20  Inuse:        1647
% 212.73/213.20  Deleted:      3214
% 212.73/213.20  Deletedinuse: 74
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    611232
% 212.73/213.20  Kept:         111173
% 212.73/213.20  Inuse:        1651
% 212.73/213.20  Deleted:      3214
% 212.73/213.20  Deletedinuse: 74
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    618861
% 212.73/213.20  Kept:         114131
% 212.73/213.20  Inuse:        1653
% 212.73/213.20  Deleted:      3214
% 212.73/213.20  Deletedinuse: 74
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    635174
% 212.73/213.20  Kept:         116156
% 212.73/213.20  Inuse:        1680
% 212.73/213.20  Deleted:      3214
% 212.73/213.20  Deletedinuse: 74
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    650999
% 212.73/213.20  Kept:         118179
% 212.73/213.20  Inuse:        1707
% 212.73/213.20  Deleted:      3214
% 212.73/213.20  Deletedinuse: 74
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    666516
% 212.73/213.20  Kept:         120963
% 212.73/213.20  Inuse:        1712
% 212.73/213.20  Deleted:      3214
% 212.73/213.20  Deletedinuse: 74
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    709407
% 212.73/213.20  Kept:         125311
% 212.73/213.20  Inuse:        1716
% 212.73/213.20  Deleted:      3214
% 212.73/213.20  Deletedinuse: 74
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying clauses:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    765445
% 212.73/213.20  Kept:         129787
% 212.73/213.20  Inuse:        1721
% 212.73/213.20  Deleted:      4092
% 212.73/213.20  Deletedinuse: 74
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    797682
% 212.73/213.20  Kept:         132578
% 212.73/213.20  Inuse:        1734
% 212.73/213.20  Deleted:      4095
% 212.73/213.20  Deletedinuse: 75
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    830103
% 212.73/213.20  Kept:         136462
% 212.73/213.20  Inuse:        1744
% 212.73/213.20  Deleted:      4095
% 212.73/213.20  Deletedinuse: 75
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    847452
% 212.73/213.20  Kept:         138973
% 212.73/213.20  Inuse:        1749
% 212.73/213.20  Deleted:      4096
% 212.73/213.20  Deletedinuse: 76
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    872514
% 212.73/213.20  Kept:         142591
% 212.73/213.20  Inuse:        1769
% 212.73/213.20  Deleted:      4096
% 212.73/213.20  Deletedinuse: 76
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    886256
% 212.73/213.20  Kept:         144605
% 212.73/213.20  Inuse:        1791
% 212.73/213.20  Deleted:      4096
% 212.73/213.20  Deletedinuse: 76
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying clauses:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    900673
% 212.73/213.20  Kept:         147158
% 212.73/213.20  Inuse:        1800
% 212.73/213.20  Deleted:      4315
% 212.73/213.20  Deletedinuse: 76
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    936643
% 212.73/213.20  Kept:         150140
% 212.73/213.20  Inuse:        1824
% 212.73/213.20  Deleted:      4315
% 212.73/213.20  Deletedinuse: 76
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    960028
% 212.73/213.20  Kept:         152144
% 212.73/213.20  Inuse:        1834
% 212.73/213.20  Deleted:      4315
% 212.73/213.20  Deletedinuse: 76
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    978005
% 212.73/213.20  Kept:         154181
% 212.73/213.20  Inuse:        1855
% 212.73/213.20  Deleted:      4315
% 212.73/213.20  Deletedinuse: 76
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    1005271
% 212.73/213.20  Kept:         156413
% 212.73/213.20  Inuse:        1868
% 212.73/213.20  Deleted:      4317
% 212.73/213.20  Deletedinuse: 77
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    1022347
% 212.73/213.20  Kept:         159489
% 212.73/213.20  Inuse:        1883
% 212.73/213.20  Deleted:      4317
% 212.73/213.20  Deletedinuse: 77
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    1036191
% 212.73/213.20  Kept:         161511
% 212.73/213.20  Inuse:        1900
% 212.73/213.20  Deleted:      4318
% 212.73/213.20  Deletedinuse: 77
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    1044751
% 212.73/213.20  Kept:         163584
% 212.73/213.20  Inuse:        1914
% 212.73/213.20  Deleted:      4320
% 212.73/213.20  Deletedinuse: 78
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying clauses:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    1074542
% 212.73/213.20  Kept:         165614
% 212.73/213.20  Inuse:        1937
% 212.73/213.20  Deleted:      4656
% 212.73/213.20  Deletedinuse: 80
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    1134310
% 212.73/213.20  Kept:         167627
% 212.73/213.20  Inuse:        1983
% 212.73/213.20  Deleted:      4657
% 212.73/213.20  Deletedinuse: 81
% 212.73/213.20  
% 212.73/213.20  Resimplifying inuse:
% 212.73/213.20  Done
% 212.73/213.20  
% 212.73/213.20  
% 212.73/213.20  Intermediate Status:
% 212.73/213.20  Generated:    1176974
% 300.02/300.50  Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------