TSTP Solution File: SCT085-1 by Bliksem---1.12

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SCT085-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n011.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 : Mon Jul 18 21:01:06 EDT 2022

% Result   : Timeout 300.05s 300.53s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SCT085-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Sat Jul  2 00:20:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.94/1.34  *** allocated 10000 integers for termspace/termends
% 0.94/1.34  *** allocated 10000 integers for clauses
% 0.94/1.34  *** allocated 10000 integers for justifications
% 0.94/1.34  *** allocated 15000 integers for termspace/termends
% 0.94/1.34  Bliksem 1.12
% 0.94/1.34  
% 0.94/1.34  
% 0.94/1.34  Automatic Strategy Selection
% 0.94/1.34  
% 0.94/1.34  Clauses:
% 0.94/1.34  [
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'( 
% 0.94/1.34    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ) ]
% 0.94/1.34    ,
% 0.94/1.34     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.94/1.34    Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.34    X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ) ],
% 0.94/1.34     [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.34    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.94/1.34     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.94/1.34     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 0.94/1.34    X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 0.94/1.34    X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.34    Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.34    Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 0.94/1.34    X ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.94/1.34    , 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.94/1.34     ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.94/1.34    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 
% 0.94/1.34    'tc_bool' ) ) ) ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34    , 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z
% 0.94/1.34     ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.34    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.34    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.94/1.34    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.34    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34     ), Y ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34     ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34     ) ) ],
% 0.94/1.34     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34     ), Y ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34     ), Y ) ],
% 0.94/1.34     [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 0.94/1.34    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.34    Y, X ), Z, X ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.94/1.34    , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.94/1.34    , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'( 
% 0.94/1.34    X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.94/1.34     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.94/1.34     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.94/1.34     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.94/1.34     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.34    'tc_bool' ) ), Y, Z ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 
% 0.94/1.34    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.34    , 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.94/1.34     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 0.94/1.34    X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.34     ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.34    Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34     ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 0.94/1.34    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.94/1.34    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( 
% 0.94/1.34    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.34    , X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 
% 0.94/1.34    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( 
% 0.94/1.34    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.34    , X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 
% 0.94/1.34    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.34    , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.94/1.34    'tc_bool' ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.34     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.94/1.34    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.34     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.34     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.94/1.34    , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34     [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.34    'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.34    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.34     ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34    , X ) ) ), =( Y, Z ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34    , X ) ) ), =( Y, Z ) ],
% 0.94/1.34     [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 
% 0.94/1.34    Z ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.34    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( 
% 0.94/1.34    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.34    , X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.34     [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.94/1.34    'tc_bool' ) ), Y, X ) ],
% 0.94/1.34     [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.34    Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( 
% 0.94/1.34    Y, 'v_x' ), X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.94/1.34    , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.94/1.34     [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.34    'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.34    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.34     ) ],
% 0.94/1.34     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.34     ) ) ) ],
% 0.94/1.34     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.34    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.94/1.34    'tc_bool' ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.34    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.94/1.34     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.34     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.94/1.34     ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), 
% 0.94/1.34    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.34    'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.34     ) ],
% 0.94/1.34     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.94/1.34     ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.94/1.34     ), =( Y, W ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.34    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.34    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.34    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.34    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.34    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.34    X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.34    'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.94/1.34    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.94/1.34    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.94/1.34    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.94/1.34     [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.94/1.34    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.94/1.34    X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X, 
% 0.94/1.34    T ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.94/1.34     ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.34     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.94/1.34     [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.94/1.34    ,
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 0.94/1.34    ~( hBOOL( hAPP( hAPP( T, Y ), Z ) ) ), ~( 'c_Orderings_Opreorder'( T, X, 
% 0.94/1.34    U ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Opreorder'( Z, 
% 0.94/1.34    X, T ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.94/1.34     ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.94/1.34    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.34    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.34    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.34    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.34    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), 
% 0.94/1.34    'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z, 
% 0.94/1.34    X, T ) ) ],
% 0.94/1.34     [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 0.94/1.34    , T ) ) ) ],
% 0.94/1.34     [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 0.94/1.34    'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.94/1.34     ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.94/1.34    , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), 
% 0.94/1.34    'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T
% 0.94/1.34     ), W ) ) ],
% 0.94/1.34     [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 0.94/1.34    'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.94/1.34     ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.94/1.34    , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), 
% 0.94/1.34    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 0.94/1.34    hAPP( 'c_in'( X ), U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) )
% 0.94/1.34     ],
% 0.94/1.34     [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.94/1.34    ,
% 0.94/1.34     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.94/1.34    , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.94/1.34     [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 0.94/1.34     ],
% 0.94/1.34     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X, 
% 0.94/1.34    Y, Z ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.94/1.34    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.94/1.34    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.94/1.34    Z, T, X ), X ) ) ],
% 0.94/1.34     [ ~( 'c_Orderings_Opreorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T
% 0.94/1.34     ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.94/1.34     ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.94/1.34     ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 0.94/1.34    , X, W ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Opreorder'( X, Z, T
% 0.94/1.34     ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( X
% 0.94/1.34    , U, W ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( U, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 0.94/1.34    , X, W ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), Z ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ), ~( 'c_Orderings_Opreorder'( T
% 0.94/1.34    , X, W ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.94/1.34     ) ) ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.34     ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.34    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 0.94/1.34    hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.34     ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.94/1.34     ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.94/1.34     ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 0.94/1.34    ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ), 
% 0.94/1.34    ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 0.94/1.34    ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.94/1.34     ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 0.94/1.34    ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 0.94/1.34     ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 0.94/1.34     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X, 
% 0.94/1.34    Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 0.94/1.34     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.94/1.34     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.94/1.34     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.94/1.34     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.94/1.34     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 0.94/1.34    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.34    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.34     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34     ) ) ],
% 0.94/1.34     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y, 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.94/1.34     ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.34    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.34    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.94/1.34    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.34     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.94/1.34    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.94/1.34    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.94/1.34    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.94/1.34    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.34    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.34    'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ) ), 
% 0.94/1.34    'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.34    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.34    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ), 
% 0.94/1.34    'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.94/1.34     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.34    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.34    'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ) ), 
% 0.94/1.34    'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.34    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.34    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ), 
% 0.94/1.34    'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.34    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.34     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.34    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.34     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.34    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.34     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.94/1.35     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.94/1.35     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.94/1.35     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.94/1.35    X, T, U ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.94/1.35    hAPP( X, U ) ) ) ) ],
% 0.94/1.35     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 0.94/1.35    , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ), 
% 0.94/1.35    =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 0.94/1.35    , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.94/1.35     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 0.94/1.35    , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.94/1.35    , Y ) ],
% 0.94/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.94/1.35    , Y ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.35     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X
% 0.94/1.35     ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 0.94/1.35    Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.35     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), T ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), T ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oord__class_Oless'( X ), X ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ), ~( 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ), ~( 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Z, 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Y, 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.35    X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y
% 0.94/1.35    , X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.94/1.35    , 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X )
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.94/1.35    , Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X
% 0.94/1.35     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ) ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z
% 0.94/1.35    , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.94/1.35    Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), =( Z, T ) ],
% 0.94/1.35     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( 
% 0.94/1.35    X, Y, Z, Z ) ), 'c_Relation_OId__on'( T, Z ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.94/1.35    Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.94/1.35    Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ) ) ],
% 0.94/1.35     [ 'c_List_Oall__from__to__nat'( X, Y, Z ), ~( hBOOL( hAPP( X, Y ) ) ), 
% 0.94/1.35    ~( 'c_List_Oall__from__to__nat'( X, 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y, 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 0.94/1.35     [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.94/1.35    Z, Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.94/1.35    Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.35    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35     ) ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35     ) ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Y )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.94/1.35     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.94/1.35     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.94/1.35    T, Z, X ) ) ), =( Y, T ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.94/1.35     ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T, 
% 0.94/1.35    Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T, 
% 0.94/1.35    Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.94/1.35     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T, 
% 0.94/1.35    X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 0.94/1.35    T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35     ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ), Y ) ) ) ],
% 0.94/1.35     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T, 
% 0.94/1.35    X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.94/1.35     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 0.94/1.35    , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 0.94/1.35     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.94/1.35     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y, 
% 0.94/1.35    Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.94/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.94/1.35     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~( 
% 0.94/1.35    'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.94/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.94/1.35     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~( 
% 0.94/1.35    'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.94/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.94/1.35     ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~( 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.94/1.35     [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 
% 0.94/1.35    'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.94/1.35     ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35     ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), 
% 0.94/1.35    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, T, X ) ), 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35     ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), T ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    X ) ), T ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.35     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.94/1.35    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.94/1.35    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ), X ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.94/1.35    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.94/1.35    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 0.94/1.35    Z, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35     ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.94/1.35    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.94/1.35    , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.94/1.35    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.94/1.35     ) ],
% 0.94/1.35     [ 'c_List_Oall__from__to__nat'( X, Y, Z ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), Y ), Z ) ) ), ~( 'c_List_Oall__from__to__nat'( X, Y, Z ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    'tc_nat' ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), =( X, 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35     [ 'c_Orderings_Opreorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 0.94/1.35    , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Opreorder'( X, Z, Y ) ) ],
% 0.94/1.35     [ 'c_Orderings_Olinorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 0.94/1.35    , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Olinorder'( X, Z, Y ) ) ],
% 0.94/1.35     [ 'c_Orderings_Oorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z, Y
% 0.94/1.35    , Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Oorder'( X, Z, Y ) ) ],
% 0.94/1.35     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35     [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y, 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.35    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35     [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.35    , X, 'tc_nat' ), X ) ],
% 0.94/1.35     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35     ), 'tc_nat' ), X ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    'tc_nat' ) ) ) ],
% 0.94/1.35     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ],
% 0.94/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =( 
% 0.94/1.35    Y, Z ) ],
% 0.94/1.35     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X, 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X, 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X, 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.94/1.35    X ), Y ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.94/1.35    X ), Y ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.94/1.35    Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.94/1.35    Z, Y ) ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.94/1.35    Y, X ) ) ) ) ],
% 0.94/1.35     [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.94/1.35    Z, X ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y, 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.94/1.35    Z, X ) ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.94/1.35    Y, X ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.94/1.35    Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.94/1.35    Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, 't_a', T ), 'v_x' ), hAPP( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_OIf'( T ), 'c_fequal'( 'v_x', Y, 't_a' ) ), Z ), hAPP( X, 
% 0.94/1.35    'v_x' ) ) ) ],
% 0.94/1.35     [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 0.94/1.35    'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.94/1.35     ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.94/1.35    , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), Z ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( X ), U ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ) ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ) ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    X ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X
% 0.94/1.35     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.94/1.35    X ) ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X
% 0.94/1.35     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35     ) ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.94/1.35    , Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.94/1.35    , Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.94/1.35    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.94/1.35     ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 
% 0.94/1.35    'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~( 
% 0.94/1.35    'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~( 
% 0.94/1.35    'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.94/1.35     ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 
% 0.94/1.35    'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.94/1.35     ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y
% 0.94/1.35    , X, X ) ), T ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), U )
% 0.94/1.35     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~( 
% 0.94/1.35    'c_Relation_Ototal__on'( U, T, X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X, T ) ), 
% 0.94/1.35    'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( T, Y, U, X ) ), 
% 0.94/1.35    'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 0.94/1.35    , T ) ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 0.94/1.35    , T ) ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 0.94/1.35    , X ) ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 0.94/1.35    , X ) ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~( 
% 0.94/1.35    'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~( 
% 0.94/1.35    'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.94/1.35     ), 'c_Relation_OId__on'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.35    Y ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), 
% 0.94/1.35    'c_Relation_OId__on'( Z, X ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.94/1.35     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y, 
% 0.94/1.35    U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.94/1.35     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y, 
% 0.94/1.35    U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 0.94/1.35     ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), 
% 0.94/1.35    'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 0.94/1.35     ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), 
% 0.94/1.35    'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.94/1.35     ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.35    Z ), U ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.94/1.35     ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.35    Z ), U ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ), X ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ) )
% 0.94/1.35    , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ) )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'( 
% 0.94/1.35    'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( 'c_COMBC'( 
% 0.94/1.35    'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_Orderings_Olinorder'( 
% 0.94/1.35    'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 0.94/1.35    Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T, 
% 0.94/1.35    Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 0.94/1.35    Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.94/1.35     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z )
% 0.94/1.35    , T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T, 
% 0.94/1.35    Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( X, Y )
% 0.94/1.35     ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 
% 0.94/1.35    'c_Pair'( Y, Z, T, T ) ), 'c_Wellfounded_Omeasure'( X, T ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.94/1.35     ), 'c_Wellfounded_Omeasure'( T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.94/1.35     ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.94/1.35     ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), U ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ 'c_List_Oall__from__to__nat'( X, 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z ), ~( hBOOL( hAPP( X
% 0.94/1.35    , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y
% 0.94/1.35     ), Z ) ) ), ~( 'c_List_Oall__from__to__nat'( X, Y, Z ) ) ],
% 0.94/1.35     [ 'c_Fun_Oinj__on'( 'v_h____', 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat' ) ],
% 0.94/1.35     [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 0.94/1.35    'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.94/1.35     ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.94/1.35    , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 0.94/1.35    , T ), W ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), 
% 0.94/1.35    'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ), 
% 0.94/1.35    'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ), 
% 0.94/1.35    'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 
% 0.94/1.35    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBC'( 
% 0.94/1.35    'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat', 
% 0.94/1.35    'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ), 'tc_bool'
% 0.94/1.35    , 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ), 
% 0.94/1.35    'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 0.94/1.35    'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBC'( 
% 0.94/1.35    'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat', 
% 0.94/1.35    'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ), 'tc_bool'
% 0.94/1.35    , 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ), 
% 0.94/1.35    'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.94/1.35    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.94/1.35    , 'tc_nat', 'tc_bool' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.94/1.35    'tc_bool', 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.94/1.35    , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'v_Lab____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 
% 0.94/1.35    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), 'v_Lba____' ) ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.94/1.35    , T, X ) ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( Y, T
% 0.94/1.35    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( Y, T
% 0.94/1.35    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.94/1.35    , Y, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.94/1.35    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.35    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.94/1.35     ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.35    X ), Y ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.94/1.35    =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 0.94/1.35     ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.94/1.35    =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.94/1.35    Z ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z
% 0.94/1.35    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z
% 0.94/1.35    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), Y ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), X ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.94/1.35     ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.94/1.35    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.94/1.35    , 'tc_nat', 'tc_bool' ), 'c_Finite__Set_Ocard'( 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ) ), 'tc_bool', 'tc_fun'( 'tc_fun'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.94/1.35    , 'c_HOL_Oone__class_Oone'( X ), X ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, X
% 0.94/1.35    , 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( T, Y, X ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.94/1.35    Z, X ) ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.94/1.35    Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.35    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 0.94/1.35     ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, U
% 0.94/1.35    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), U )
% 0.94/1.35     ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.35    X ), Z ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.35    X ), Y ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.35    X ), Y ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =( 
% 0.94/1.35    Y, X ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =( 
% 0.94/1.35    Y, X ) ],
% 0.94/1.35     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X )
% 0.94/1.35     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.94/1.35     ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.94/1.35     ), Y ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.94/1.35    X ) ) ],
% 0.94/1.35     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), T ) ) ],
% 0.94/1.35     [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.94/1.35    X ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.94/1.35    X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.94/1.35    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.94/1.35    X ), Y ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 0.94/1.35    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.94/1.35    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.35    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, X
% 0.94/1.35    , 'tc_nat' ) ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z
% 0.94/1.35    , 'tc_nat' ) ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 0.94/1.35    U ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Z ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.94/1.35     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.94/1.35     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.94/1.35     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.94/1.35     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.94/1.35    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.94/1.35    X ) ) ), =( Z, T ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.94/1.35    X ) ) ), =( Z, T ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
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% 0.94/1.35    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, U
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
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% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
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% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) ]
% 0.94/1.35    ,
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
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% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
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% 0.94/1.35    'tc_bool' ) ) ), 'v_Lab____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 
% 0.94/1.35    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
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% 0.94/1.35    'tc_bool' ) ), 'v_Lba____' ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_b____', 'v_a____', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBC'( 
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% 0.94/1.35    'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ), 'tc_bool'
% 0.94/1.35    , 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
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% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
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% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.94/1.35    'tc_bool' ) ), 'v_Lba____' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
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% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
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% 0.94/1.35    'tc_bool' ) ), 'v_Lba____' ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
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% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
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% 0.94/1.35    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'( 
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
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% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 
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% 0.94/1.35    , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
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% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'v_Lab____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 
% 0.94/1.35    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), 'v_Lba____' ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_lessequals'( 'tc_nat' ), X ), 'v_sko__CHAINED__1'( 'v_F', 'v_Lab____'
% 0.94/1.35    , 'v_Lba____', 'v_a____', 'v_b____', 'v_h____' ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.94/1.35    'v_sko__CHAINED__1'( 'v_F', 'v_Lab____', 'v_Lba____', 'v_a____', 
% 0.94/1.35    'v_b____', 'v_h____' ) ), 'c_Finite__Set_Ocard'( 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.94/1.35    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.94/1.35    , 'tc_nat', 'tc_bool' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'( 
% 0.94/1.35    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.94/1.35    , hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( 'v_x', X ) ), X )
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ) ],
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.94/1.35    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.94/1.35    , 'tc_nat', 'tc_bool' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.94/1.35    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'( 
% 0.94/1.35    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35    , 'c_Pair'( 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.94/1.35    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.94/1.35    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.94/1.35    , 'tc_nat', 'tc_bool' ), hAPP( 'v_x', X ) ), 'tc_bool', 'tc_fun'( 
% 0.94/1.35    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.94/1.35    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.35    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.94/1.35    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.94/1.35    'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.94/1.35    'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ) ],
% 0.94/1.35     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.35    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.94/1.35     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.35    'class_Orderings_Opreorder'( Y ) ) ],
% 0.94/1.35     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.35    'class_Orderings_Oorder'( Y ) ) ],
% 0.94/1.35     [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'( 
% 0.94/1.35    Y ) ) ],
% 0.94/1.35     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.94/1.35    Y ) ) ],
% 0.94/1.35     [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.94/1.35     ],
% 0.94/1.35     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.94/1.35     ],
% 0.94/1.35     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.94/1.35     ) ],
% 0.94/1.35     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.94/1.35     [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.94/1.35     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.94/1.35     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.94/1.35     [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.94/1.35     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.94/1.35     [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.94/1.35     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 0.94/1.35    U ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ hBOOL( 'c_fequal'( X, X, Y ) ) ],
% 0.94/1.35     [ =( X, Y ), ~( hBOOL( 'c_fequal'( X, Y, Z ) ) ) ]
% 0.94/1.35  ] .
% 0.94/1.35  
% 0.94/1.35  
% 0.94/1.35  percentage equality = 0.159848, percentage horn = 0.854737
% 0.94/1.35  This is a problem with some equality
% 0.94/1.35  
% 0.94/1.35  
% 0.94/1.35  
% 0.94/1.35  Options Used:
% 0.94/1.35  
% 0.94/1.35  useres =            1
% 0.98/1.47  useparamod =        1
% 0.98/1.47  useeqrefl =         1
% 0.98/1.47  useeqfact =         1
% 0.98/1.47  usefactor =         1
% 0.98/1.47  usesimpsplitting =  0
% 0.98/1.47  usesimpdemod =      5
% 0.98/1.47  usesimpres =        3
% 0.98/1.47  
% 0.98/1.47  resimpinuse      =  1000
% 0.98/1.47  resimpclauses =     20000
% 0.98/1.47  substype =          eqrewr
% 0.98/1.47  backwardsubs =      1
% 0.98/1.47  selectoldest =      5
% 0.98/1.47  
% 0.98/1.47  litorderings [0] =  split
% 0.98/1.47  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.98/1.47  
% 0.98/1.47  termordering =      kbo
% 0.98/1.47  
% 0.98/1.47  litapriori =        0
% 0.98/1.47  termapriori =       1
% 0.98/1.47  litaposteriori =    0
% 0.98/1.47  termaposteriori =   0
% 0.98/1.47  demodaposteriori =  0
% 0.98/1.47  ordereqreflfact =   0
% 0.98/1.47  
% 0.98/1.47  litselect =         negord
% 0.98/1.47  
% 0.98/1.47  maxweight =         15
% 0.98/1.47  maxdepth =          30000
% 0.98/1.47  maxlength =         115
% 0.98/1.47  maxnrvars =         195
% 0.98/1.47  excuselevel =       1
% 0.98/1.47  increasemaxweight = 1
% 0.98/1.47  
% 0.98/1.47  maxselected =       10000000
% 0.98/1.47  maxnrclauses =      10000000
% 0.98/1.47  
% 0.98/1.47  showgenerated =    0
% 0.98/1.47  showkept =         0
% 0.98/1.47  showselected =     0
% 0.98/1.47  showdeleted =      0
% 0.98/1.47  showresimp =       1
% 0.98/1.47  showstatus =       2000
% 0.98/1.47  
% 0.98/1.47  prologoutput =     1
% 0.98/1.47  nrgoals =          5000000
% 0.98/1.47  totalproof =       1
% 0.98/1.47  
% 0.98/1.47  Symbols occurring in the translation:
% 0.98/1.47  
% 0.98/1.47  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.98/1.47  .  [1, 2]      (w:1, o:111, a:1, s:1, b:0), 
% 0.98/1.47  !  [4, 1]      (w:0, o:61, a:1, s:1, b:0), 
% 0.98/1.47  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.98/1.47  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.98/1.47  'tc_nat'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.98/1.47  'c_HOL_Oord__class_Oless'  [40, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 0.98/1.47  'c_HOL_Ozero__class_Ozero'  [41, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 0.98/1.47  hAPP  [42, 2]      (w:1, o:136, a:1, s:1, b:0), 
% 0.98/1.47  'tc_bool'  [44, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.98/1.47  'tc_fun'  [45, 2]      (w:1, o:137, a:1, s:1, b:0), 
% 0.98/1.47  'c_Orderings_Obot__class_Obot'  [46, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 0.98/1.47  'c_Finite__Set_Ocard'  [47, 2]      (w:1, o:138, a:1, s:1, b:0), 
% 0.98/1.47  hBOOL  [48, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 0.98/1.47  'class_OrderedGroup_Olordered__ab__group__add'  [49, 1]      (w:1, o:70, a:
% 0.98/1.47    1, s:1, b:0), 
% 0.98/1.47  'c_lessequals'  [50, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 0.98/1.47  'c_HOL_Ouminus__class_Ouminus'  [53, 2]      (w:1, o:139, a:1, s:1, b:0), 
% 0.98/1.47  'c_HOL_Oplus__class_Oplus'  [54, 3]      (w:1, o:146, a:1, s:1, b:0), 
% 0.98/1.47  'c_Orderings_Otop__class_Otop'  [55, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 0.98/1.47  'class_OrderedGroup_Oab__group__add'  [56, 1]      (w:1, o:73, a:1, s:1, b:
% 0.98/1.47    0), 
% 0.98/1.47  'class_OrderedGroup_Ogroup__add'  [60, 1]      (w:1, o:74, a:1, s:1, b:0), 
% 0.98/1.47    
% 0.98/1.47  'class_OrderedGroup_Opordered__ab__group__add'  [61, 1]      (w:1, o:76, a:
% 0.98/1.47    1, s:1, b:0), 
% 0.98/1.47  'class_Orderings_Obot'  [62, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 0.98/1.47  'c_in'  [64, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 0.98/1.47  'class_Lattices_Oboolean__algebra'  [67, 1]      (w:1, o:79, a:1, s:1, b:0)
% 0.98/1.47    , 
% 0.98/1.47  'class_Ring__and__Field_Ofield'  [68, 1]      (w:1, o:80, a:1, s:1, b:0), 
% 0.98/1.47  'c_HOL_Oinverse__class_Odivide'  [69, 3]      (w:1, o:147, a:1, s:1, b:0), 
% 0.98/1.47    
% 0.98/1.47  'class_Ring__and__Field_Odivision__by__zero'  [70, 1]      (w:1, o:82, a:1
% 0.98/1.47    , s:1, b:0), 
% 0.98/1.47  'class_OrderedGroup_Oordered__ab__group__add'  [71, 1]      (w:1, o:75, a:1
% 0.98/1.47    , s:1, b:0), 
% 0.98/1.47  'c_Set_Ovimage'  [74, 4]      (w:1, o:161, a:1, s:1, b:0), 
% 0.98/1.47  'c_Fun_Oinj__on'  [75, 4]      (w:1, o:162, a:1, s:1, b:0), 
% 0.98/1.47  't_a'  [76, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 0.98/1.47  'v_x'  [77, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 0.98/1.47  'c_Relation_OImage'  [79, 4]      (w:1, o:160, a:1, s:1, b:0), 
% 0.98/1.47  'c_Relation_Ototal__on'  [82, 3]      (w:1, o:148, a:1, s:1, b:0), 
% 0.98/1.47  'class_HOL_Ouminus'  [83, 1]      (w:1, o:83, a:1, s:1, b:0), 
% 0.98/1.47  'class_Ring__and__Field_Oordered__idom'  [84, 1]      (w:1, o:86, a:1, s:1
% 0.98/1.47    , b:0), 
% 0.98/1.47  'class_Ring__and__Field_Oordered__semidom'  [85, 1]      (w:1, o:87, a:1
% 0.98/1.47    , s:1, b:0), 
% 0.98/1.47  'c_Power_Opower__class_Opower'  [87, 3]      (w:1, o:152, a:1, s:1, b:0), 
% 0.98/1.47  'c_Fun_Ofun__upd'  [89, 5]      (w:1, o:166, a:1, s:1, b:0), 
% 0.98/1.47  'class_Ring__and__Field_Oordered__field'  [91, 1]      (w:1, o:88, a:1, s:1
% 0.98/1.47    , b:0), 
% 0.98/1.47  'c_HOL_Oone__class_Oone'  [92, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 0.98/1.47  'c_Relation_OId__on'  [93, 2]      (w:1, o:140, a:1, s:1, b:0), 
% 0.98/1.47  'c_Relation_Orefl__on'  [94, 3]      (w:1, o:153, a:1, s:1, b:0), 
% 0.98/1.47  'class_Ring__and__Field_Osemiring__0'  [95, 1]      (w:1, o:91, a:1, s:1
% 0.98/1.47    , b:0), 
% 0.98/1.47  'class_Power_Opower'  [96, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 0.98/1.47  'c_Orderings_Oorder'  [99, 3]      (w:1, o:149, a:1, s:1, b:0), 
% 8.15/8.53  'class_Ring__and__Field_Ozero__neq__one'  [100, 1]      (w:1, o:107, a:1
% 8.15/8.53    , s:1, b:0), 
% 8.15/8.53  'class_Ring__and__Field_Ono__zero__divisors'  [101, 1]      (w:1, o:85, a:1
% 8.15/8.53    , s:1, b:0), 
% 8.15/8.53  'class_Ring__and__Field_Omult__zero'  [102, 1]      (w:1, o:84, a:1, s:1
% 8.15/8.53    , b:0), 
% 8.15/8.53  'c_Relation_ODomain'  [103, 3]      (w:1, o:154, a:1, s:1, b:0), 
% 8.15/8.53  'c_Orderings_Opreorder'  [104, 3]      (w:1, o:150, a:1, s:1, b:0), 
% 8.15/8.53  'c_Orderings_Olinorder'  [105, 3]      (w:1, o:151, a:1, s:1, b:0), 
% 8.15/8.53  'c_HOL_OIf'  [106, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 8.15/8.53  'c_COMBC'  [107, 4]      (w:1, o:163, a:1, s:1, b:0), 
% 8.15/8.53  'c_COMBB'  [108, 5]      (w:1, o:167, a:1, s:1, b:0), 
% 8.15/8.53  'c_Relation_ORange'  [109, 3]      (w:1, o:155, a:1, s:1, b:0), 
% 8.15/8.53  'c_Equiv__Relations_Oequiv'  [110, 3]      (w:1, o:156, a:1, s:1, b:0), 
% 8.15/8.53  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [112, 1]      (w:1
% 8.15/8.53    , o:90, a:1, s:1, b:0), 
% 8.15/8.53  'class_Ring__and__Field_Ocomm__semiring__1'  [113, 1]      (w:1, o:81, a:1
% 8.15/8.53    , s:1, b:0), 
% 8.15/8.53  'tc_Arrow__Order__Mirabelle_Oalt'  [114, 0]      (w:1, o:40, a:1, s:1, b:0)
% 8.15/8.53    , 
% 8.15/8.53  'tc_prod'  [115, 2]      (w:1, o:141, a:1, s:1, b:0), 
% 8.15/8.53  'c_Arrow__Order__Mirabelle_Omkbot'  [117, 2]      (w:1, o:142, a:1, s:1, b:
% 8.15/8.53    0), 
% 8.15/8.53  'c_Arrow__Order__Mirabelle_OLin'  [118, 0]      (w:1, o:42, a:1, s:1, b:0)
% 8.15/8.53    , 
% 8.15/8.53  'c_Arrow__Order__Mirabelle_Omktop'  [119, 2]      (w:1, o:143, a:1, s:1, b:
% 8.15/8.53    0), 
% 8.15/8.53  'class_Orderings_Opreorder'  [121, 1]      (w:1, o:93, a:1, s:1, b:0), 
% 8.15/8.53  'class_OrderedGroup_Opordered__comm__monoid__add'  [122, 1]      (w:1, o:94
% 8.15/8.53    , a:1, s:1, b:0), 
% 8.15/8.53  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [123, 1]      
% 8.15/8.53    (w:1, o:95, a:1, s:1, b:0), 
% 8.15/8.53  'class_OrderedGroup_Ocomm__monoid__add'  [124, 1]      (w:1, o:96, a:1, s:1
% 8.15/8.53    , b:0), 
% 8.15/8.53  'c_Pair'  [125, 4]      (w:1, o:164, a:1, s:1, b:0), 
% 8.15/8.53  'c_List_Oall__from__to__nat'  [128, 3]      (w:1, o:157, a:1, s:1, b:0), 
% 8.15/8.53  'class_Ring__and__Field_Oidom'  [132, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 8.15/8.53    
% 8.15/8.53  'class_Int_Onumber__ring'  [133, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 8.15/8.53  'class_OrderedGroup_Omonoid__add'  [134, 1]      (w:1, o:97, a:1, s:1, b:0)
% 8.15/8.53    , 
% 8.15/8.53  'class_OrderedGroup_Omonoid__mult'  [135, 1]      (w:1, o:98, a:1, s:1, b:0
% 8.15/8.53    ), 
% 8.15/8.53  'c_fequal'  [136, 3]      (w:1, o:158, a:1, s:1, b:0), 
% 8.15/8.53  'c_Product__Type_OSigma'  [137, 4]      (w:1, o:165, a:1, s:1, b:0), 
% 8.15/8.53  'c_Wellfounded_Oacc'  [138, 2]      (w:1, o:144, a:1, s:1, b:0), 
% 8.15/8.53  'class_Orderings_Oorder'  [139, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 8.15/8.53  'class_Orderings_Olinorder'  [140, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 8.15/8.53  'c_Wellfounded_Omeasure'  [141, 2]      (w:1, o:145, a:1, s:1, b:0), 
% 8.15/8.53  'c_Wellfounded_Omlex__prod'  [142, 3]      (w:1, o:159, a:1, s:1, b:0), 
% 8.15/8.53  'v_h____'  [143, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 8.15/8.53  'tc_Arrow__Order__Mirabelle_Oindi'  [144, 0]      (w:1, o:48, a:1, s:1, b:0
% 8.15/8.53    ), 
% 8.15/8.53  'v_Lab____'  [145, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 8.15/8.53  'v_Lba____'  [146, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 8.15/8.53  'c_Arrow__Order__Mirabelle_OProf'  [147, 0]      (w:1, o:51, a:1, s:1, b:0)
% 8.15/8.53    , 
% 8.15/8.53  'v_F'  [148, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 8.15/8.53  'v_a____'  [149, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 8.15/8.53  'v_b____'  [150, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 8.15/8.53  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [151, 1]      
% 8.15/8.53    (w:1, o:100, a:1, s:1, b:0), 
% 8.15/8.53  'class_Orderings_Otop'  [155, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 8.15/8.53  'class_OrderedGroup_Opordered__ab__semigroup__add'  [156, 1]      (w:1, o:
% 8.15/8.53    102, a:1, s:1, b:0), 
% 8.15/8.53  'class_OrderedGroup_Oab__semigroup__add'  [158, 1]      (w:1, o:103, a:1
% 8.15/8.53    , s:1, b:0), 
% 8.15/8.53  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [162, 1]      (w:1, o:104
% 8.15/8.53    , a:1, s:1, b:0), 
% 8.15/8.53  'class_OrderedGroup_Ocancel__semigroup__add'  [163, 1]      (w:1, o:105, a:
% 8.15/8.53    1, s:1, b:0), 
% 8.15/8.53  'v_sko__CHAINED__1'  [164, 6]      (w:1, o:168, a:1, s:1, b:0).
% 8.15/8.53  
% 8.15/8.53  
% 8.15/8.53  Starting Search:
% 8.15/8.53  
% 8.15/8.53  Resimplifying inuse:
% 8.15/8.53  Done
% 8.15/8.53  
% 8.15/8.53  
% 8.15/8.53  Intermediate Status:
% 8.15/8.53  Generated:    3186
% 8.15/8.53  Kept:         2025
% 8.15/8.53  Inuse:        158
% 8.15/8.53  Deleted:      3
% 8.15/8.53  Deletedinuse: 0
% 8.15/8.53  
% 8.15/8.53  Resimplifying inuse:
% 8.15/8.53  Done
% 8.15/8.53  
% 8.15/8.53  Resimplifying inuse:
% 8.15/8.53  Done
% 8.15/8.53  
% 8.15/8.53  
% 8.15/8.53  Intermediate Status:
% 8.15/8.53  Generated:    8819
% 8.15/8.53  Kept:         4421
% 8.15/8.53  Inuse:        262
% 8.15/8.53  Deleted:      4
% 42.03/42.48  Deletedinuse: 0
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    17949
% 42.03/42.48  Kept:         6445
% 42.03/42.48  Inuse:        291
% 42.03/42.48  Deleted:      8
% 42.03/42.48  Deletedinuse: 1
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    26844
% 42.03/42.48  Kept:         8513
% 42.03/42.48  Inuse:        346
% 42.03/42.48  Deleted:      9
% 42.03/42.48  Deletedinuse: 1
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    34639
% 42.03/42.48  Kept:         10518
% 42.03/42.48  Inuse:        384
% 42.03/42.48  Deleted:      9
% 42.03/42.48  Deletedinuse: 1
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    41399
% 42.03/42.48  Kept:         12558
% 42.03/42.48  Inuse:        445
% 42.03/42.48  Deleted:      12
% 42.03/42.48  Deletedinuse: 1
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    49016
% 42.03/42.48  Kept:         14762
% 42.03/42.48  Inuse:        505
% 42.03/42.48  Deleted:      18
% 42.03/42.48  Deletedinuse: 7
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    56370
% 42.03/42.48  Kept:         16762
% 42.03/42.48  Inuse:        549
% 42.03/42.48  Deleted:      23
% 42.03/42.48  Deletedinuse: 12
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    63194
% 42.03/42.48  Kept:         18766
% 42.03/42.48  Inuse:        577
% 42.03/42.48  Deleted:      29
% 42.03/42.48  Deletedinuse: 18
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying clauses:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    72738
% 42.03/42.48  Kept:         21285
% 42.03/42.48  Inuse:        595
% 42.03/42.48  Deleted:      405
% 42.03/42.48  Deletedinuse: 21
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    80618
% 42.03/42.48  Kept:         23289
% 42.03/42.48  Inuse:        630
% 42.03/42.48  Deleted:      409
% 42.03/42.48  Deletedinuse: 25
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    97017
% 42.03/42.48  Kept:         25720
% 42.03/42.48  Inuse:        655
% 42.03/42.48  Deleted:      412
% 42.03/42.48  Deletedinuse: 28
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    105570
% 42.03/42.48  Kept:         27805
% 42.03/42.48  Inuse:        670
% 42.03/42.48  Deleted:      412
% 42.03/42.48  Deletedinuse: 28
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    118447
% 42.03/42.48  Kept:         30661
% 42.03/42.48  Inuse:        680
% 42.03/42.48  Deleted:      412
% 42.03/42.48  Deletedinuse: 28
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    128199
% 42.03/42.48  Kept:         32662
% 42.03/42.48  Inuse:        706
% 42.03/42.48  Deleted:      412
% 42.03/42.48  Deletedinuse: 28
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    139082
% 42.03/42.48  Kept:         35201
% 42.03/42.48  Inuse:        730
% 42.03/42.48  Deleted:      412
% 42.03/42.48  Deletedinuse: 28
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    150485
% 42.03/42.48  Kept:         37475
% 42.03/42.48  Inuse:        750
% 42.03/42.48  Deleted:      412
% 42.03/42.48  Deletedinuse: 28
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    158728
% 42.03/42.48  Kept:         39478
% 42.03/42.48  Inuse:        786
% 42.03/42.48  Deleted:      412
% 42.03/42.48  Deletedinuse: 28
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying clauses:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    169514
% 42.03/42.48  Kept:         41654
% 42.03/42.48  Inuse:        805
% 42.03/42.48  Deleted:      587
% 42.03/42.48  Deletedinuse: 28
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    180127
% 42.03/42.48  Kept:         43767
% 42.03/42.48  Inuse:        820
% 42.03/42.48  Deleted:      592
% 42.03/42.48  Deletedinuse: 33
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    197899
% 42.03/42.48  Kept:         47137
% 42.03/42.48  Inuse:        830
% 42.03/42.48  Deleted:      592
% 42.03/42.48  Deletedinuse: 33
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    210719
% 42.03/42.48  Kept:         50138
% 42.03/42.48  Inuse:        845
% 42.03/42.48  Deleted:      592
% 42.03/42.48  Deletedinuse: 33
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    219507
% 42.03/42.48  Kept:         52440
% 42.03/42.48  Inuse:        850
% 42.03/42.48  Deleted:      592
% 42.03/42.48  Deletedinuse: 33
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    246269
% 42.03/42.48  Kept:         56851
% 42.03/42.48  Inuse:        855
% 42.03/42.48  Deleted:      592
% 42.03/42.48  Deletedinuse: 33
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    255308
% 42.03/42.48  Kept:         59258
% 42.03/42.48  Inuse:        880
% 42.03/42.48  Deleted:      592
% 42.03/42.48  Deletedinuse: 33
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying clauses:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    275215
% 42.03/42.48  Kept:         62072
% 42.03/42.48  Inuse:        895
% 42.03/42.48  Deleted:      1273
% 42.03/42.48  Deletedinuse: 33
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  Resimplifying inuse:
% 42.03/42.48  Done
% 42.03/42.48  
% 42.03/42.48  
% 42.03/42.48  Intermediate Status:
% 42.03/42.48  Generated:    291085
% 42.03/42.48  Kept:         65830
% 42.03/42.48  Inuse:        910
% 42.03/42.48  Deleted:      1273
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    301251
% 99.20/99.61  Kept:         68035
% 99.20/99.61  Inuse:        925
% 99.20/99.61  Deleted:      1273
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    317813
% 99.20/99.61  Kept:         71580
% 99.20/99.61  Inuse:        935
% 99.20/99.61  Deleted:      1273
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    343379
% 99.20/99.61  Kept:         74556
% 99.20/99.61  Inuse:        945
% 99.20/99.61  Deleted:      1273
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    353837
% 99.20/99.61  Kept:         76580
% 99.20/99.61  Inuse:        964
% 99.20/99.61  Deleted:      1273
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    364755
% 99.20/99.61  Kept:         78962
% 99.20/99.61  Inuse:        975
% 99.20/99.61  Deleted:      1273
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying clauses:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    375837
% 99.20/99.61  Kept:         81481
% 99.20/99.61  Inuse:        990
% 99.20/99.61  Deleted:      1322
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    387658
% 99.20/99.61  Kept:         84059
% 99.20/99.61  Inuse:        1005
% 99.20/99.61  Deleted:      1322
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    402482
% 99.20/99.61  Kept:         87312
% 99.20/99.61  Inuse:        1020
% 99.20/99.61  Deleted:      1322
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    412090
% 99.20/99.61  Kept:         89313
% 99.20/99.61  Inuse:        1037
% 99.20/99.61  Deleted:      1322
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    421726
% 99.20/99.61  Kept:         91801
% 99.20/99.61  Inuse:        1055
% 99.20/99.61  Deleted:      1322
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    430071
% 99.20/99.61  Kept:         93948
% 99.20/99.61  Inuse:        1075
% 99.20/99.61  Deleted:      1322
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    437935
% 99.20/99.61  Kept:         96034
% 99.20/99.61  Inuse:        1098
% 99.20/99.61  Deleted:      1324
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    444973
% 99.20/99.61  Kept:         98054
% 99.20/99.61  Inuse:        1101
% 99.20/99.61  Deleted:      1326
% 99.20/99.61  Deletedinuse: 33
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    457183
% 99.20/99.61  Kept:         100997
% 99.20/99.61  Inuse:        1109
% 99.20/99.61  Deleted:      1340
% 99.20/99.61  Deletedinuse: 35
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying clauses:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    468781
% 99.20/99.61  Kept:         103505
% 99.20/99.61  Inuse:        1114
% 99.20/99.61  Deleted:      2176
% 99.20/99.61  Deletedinuse: 38
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    475057
% 99.20/99.61  Kept:         105985
% 99.20/99.61  Inuse:        1115
% 99.20/99.61  Deleted:      2181
% 99.20/99.61  Deletedinuse: 39
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    481864
% 99.20/99.61  Kept:         107995
% 99.20/99.61  Inuse:        1117
% 99.20/99.61  Deleted:      2190
% 99.20/99.61  Deletedinuse: 41
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    511345
% 99.20/99.61  Kept:         111969
% 99.20/99.61  Inuse:        1121
% 99.20/99.61  Deleted:      2197
% 99.20/99.61  Deletedinuse: 41
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    554224
% 99.20/99.61  Kept:         118978
% 99.20/99.61  Inuse:        1123
% 99.20/99.61  Deleted:      2205
% 99.20/99.61  Deletedinuse: 41
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    570515
% 99.20/99.61  Kept:         122867
% 99.20/99.61  Inuse:        1125
% 99.20/99.61  Deleted:      2213
% 99.20/99.61  Deletedinuse: 41
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying clauses:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    619727
% 99.20/99.61  Kept:         130092
% 99.20/99.61  Inuse:        1129
% 99.20/99.61  Deleted:      2657
% 99.20/99.61  Deletedinuse: 41
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    663563
% 99.20/99.61  Kept:         136650
% 99.20/99.61  Inuse:        1130
% 99.20/99.61  Deleted:      2662
% 99.20/99.61  Deletedinuse: 42
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    671908
% 99.20/99.61  Kept:         139335
% 99.20/99.61  Inuse:        1134
% 99.20/99.61  Deleted:      2673
% 99.20/99.61  Deletedinuse: 42
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    678152
% 99.20/99.61  Kept:         141882
% 99.20/99.61  Inuse:        1137
% 99.20/99.61  Deleted:      2685
% 99.20/99.61  Deletedinuse: 42
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  Resimplifying clauses:
% 99.20/99.61  Done
% 99.20/99.61  
% 99.20/99.61  
% 99.20/99.61  Intermediate Status:
% 99.20/99.61  Generated:    684683
% 99.20/99.61  Kept:         144353
% 99.20/99.61  Inuse:        1144
% 99.20/99.61  Deleted:      2945
% 99.20/99.61  Deletedinuse: 42
% 99.20/99.61  
% 99.20/99.61  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    710566
% 193.07/193.53  Kept:         148099
% 193.07/193.53  Inuse:        1159
% 193.07/193.53  Deleted:      2945
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    717888
% 193.07/193.53  Kept:         150551
% 193.07/193.53  Inuse:        1174
% 193.07/193.53  Deleted:      2945
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    726070
% 193.07/193.53  Kept:         152861
% 193.07/193.53  Inuse:        1189
% 193.07/193.53  Deleted:      2945
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    735339
% 193.07/193.53  Kept:         155528
% 193.07/193.53  Inuse:        1204
% 193.07/193.53  Deleted:      2945
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    744320
% 193.07/193.53  Kept:         157993
% 193.07/193.53  Inuse:        1219
% 193.07/193.53  Deleted:      2945
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    752965
% 193.07/193.53  Kept:         160025
% 193.07/193.53  Inuse:        1234
% 193.07/193.53  Deleted:      2945
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    766856
% 193.07/193.53  Kept:         162947
% 193.07/193.53  Inuse:        1254
% 193.07/193.53  Deleted:      2945
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying clauses:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    777374
% 193.07/193.53  Kept:         165796
% 193.07/193.53  Inuse:        1269
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    786422
% 193.07/193.53  Kept:         167828
% 193.07/193.53  Inuse:        1279
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    799328
% 193.07/193.53  Kept:         169834
% 193.07/193.53  Inuse:        1292
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    805939
% 193.07/193.53  Kept:         171886
% 193.07/193.53  Inuse:        1299
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    817785
% 193.07/193.53  Kept:         173901
% 193.07/193.53  Inuse:        1308
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    826846
% 193.07/193.53  Kept:         175916
% 193.07/193.53  Inuse:        1311
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    836357
% 193.07/193.53  Kept:         178136
% 193.07/193.53  Inuse:        1314
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    845358
% 193.07/193.53  Kept:         180268
% 193.07/193.53  Inuse:        1329
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    855281
% 193.07/193.53  Kept:         182406
% 193.07/193.53  Inuse:        1344
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    866891
% 193.07/193.53  Kept:         184683
% 193.07/193.53  Inuse:        1359
% 193.07/193.53  Deleted:      3050
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying clauses:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    877618
% 193.07/193.53  Kept:         186929
% 193.07/193.53  Inuse:        1374
% 193.07/193.53  Deleted:      3223
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    889341
% 193.07/193.53  Kept:         189397
% 193.07/193.53  Inuse:        1389
% 193.07/193.53  Deleted:      3223
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    907898
% 193.07/193.53  Kept:         191690
% 193.07/193.53  Inuse:        1394
% 193.07/193.53  Deleted:      3223
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    926637
% 193.07/193.53  Kept:         194001
% 193.07/193.53  Inuse:        1399
% 193.07/193.53  Deleted:      3223
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    948145
% 193.07/193.53  Kept:         198873
% 193.07/193.53  Inuse:        1404
% 193.07/193.53  Deleted:      3223
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    969766
% 193.07/193.53  Kept:         203643
% 193.07/193.53  Inuse:        1409
% 193.07/193.53  Deleted:      3223
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    991636
% 193.07/193.53  Kept:         208537
% 193.07/193.53  Inuse:        1414
% 193.07/193.53  Deleted:      3223
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying clauses:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate Status:
% 193.07/193.53  Generated:    1011492
% 193.07/193.53  Kept:         211036
% 193.07/193.53  Inuse:        1444
% 193.07/193.53  Deleted:      3265
% 193.07/193.53  Deletedinuse: 42
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  Resimplifying inuse:
% 193.07/193.53  Done
% 193.07/193.53  
% 193.07/193.53  
% 193.07/193.53  Intermediate StaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------