TSTP Solution File: SCT086-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SCT086-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n006.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 300.03s 300.50s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SCT086-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : bliksem %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Fri Jul  1 21:46:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.96/1.36  *** allocated 10000 integers for termspace/termends
% 0.96/1.36  *** allocated 10000 integers for clauses
% 0.96/1.36  *** allocated 10000 integers for justifications
% 0.96/1.36  *** allocated 15000 integers for termspace/termends
% 0.96/1.36  Bliksem 1.12
% 0.96/1.36  
% 0.96/1.36  
% 0.96/1.36  Automatic Strategy Selection
% 0.96/1.36  
% 0.96/1.36  Clauses:
% 0.96/1.36  [
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.96/1.36    Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.36    X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.36    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.96/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.96/1.36     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 0.96/1.36    X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 0.96/1.36    X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.96/1.36    Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.96/1.36    Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 0.96/1.36    X ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.96/1.36    , 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.36     ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.36    , 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.36     ), Y ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.36     ), Y ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.36     ), Y ) ],
% 0.96/1.36     [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 0.96/1.36    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.96/1.36    Y, X ), Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.96/1.36    , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'( 
% 0.96/1.36    X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.36     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.36     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.36     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.36     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y, Z ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.36    , 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.96/1.36     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 0.96/1.36    X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.36    , X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.36    , X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.36    , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.36     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.36     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.36     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.96/1.36    , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.36     [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.36     ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.36    , X ) ) ), =( Y, Z ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.36    , X ) ) ), =( Y, Z ) ],
% 0.96/1.36     [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 
% 0.96/1.36    Z ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.36    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.36    , X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.96/1.36    'tc_bool' ) ), Y, X ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.96/1.36    , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.36     [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.36    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.36    X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.96/1.36    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.96/1.36     [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X, 
% 0.96/1.36    T ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.96/1.36     ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 0.96/1.36    'c_Suc'( Z ), X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( T, Y ), Z ) ) ), ~( 'c_Orderings_Opreorder'( T, X, 
% 0.96/1.36    U ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Opreorder'( Z, 
% 0.96/1.36    X, T ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.96/1.36     ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.36     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.36     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.96/1.36    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z, 
% 0.96/1.36    X, T ) ) ],
% 0.96/1.36     [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 0.96/1.36    , T ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.36    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.36    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.36    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Y )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.36     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 0.96/1.36    'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.96/1.36     ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.96/1.36    , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), 
% 0.96/1.36    'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T
% 0.96/1.36     ), W ) ) ],
% 0.96/1.36     [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 0.96/1.36    'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.96/1.36     ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.96/1.36    , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_in'( X ), U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ) ) ) ],
% 0.96/1.36     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.96/1.36     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 0.96/1.36     ],
% 0.96/1.36     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X, 
% 0.96/1.36    Y, Z ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.96/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.96/1.36    Z, T, X ), X ) ) ],
% 0.96/1.36     [ ~( 'c_Orderings_Opreorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.96/1.36     ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.96/1.36     ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 0.96/1.36    , X, W ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Opreorder'( X, Z, T
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( X
% 0.96/1.36    , U, W ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( U, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 0.96/1.36    , X, W ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ), ~( 'c_Orderings_Opreorder'( T
% 0.96/1.36    , X, W ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.96/1.36     ) ) ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.96/1.36     ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.96/1.36     ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 0.96/1.36    ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ), 
% 0.96/1.36    ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 0.96/1.36    ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.96/1.36     ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 0.96/1.36    ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 0.96/1.36     ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X, 
% 0.96/1.36    Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 0.96/1.36    'c_Suc'( T ), X ) ), 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X )
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 0.96/1.36    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.36     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.96/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.96/1.36    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.96/1.36     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.96/1.36    X, T, U ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.96/1.36    hAPP( X, U ) ) ) ) ],
% 0.96/1.36     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 0.96/1.36    , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ), 
% 0.96/1.36    =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 0.96/1.36    , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.36     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 0.96/1.36    , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.36     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 0.96/1.36    Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( 'tc_nat' ), T ), Z ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), T ), Z ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oord__class_Oless'( X ), X ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.36    , 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Z, 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Y, 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.36    X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y
% 0.96/1.36    , X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.96/1.36    , 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X )
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.36    , Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X
% 0.96/1.36     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z
% 0.96/1.36    , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.96/1.36    Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), =( Z, T ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( 
% 0.96/1.36    X, Y, Z, Z ) ), 'c_Relation_OId__on'( T, Z ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.96/1.36    Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 0.96/1.36    , X ), 'c_Suc'( Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat'
% 0.96/1.36     ), Y ), X ) ) ) ],
% 0.96/1.36     [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.36     [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 
% 0.96/1.36    'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.96/1.36     [ 'c_List_Oall__from__to__nat'( X, Y, Z ), ~( hBOOL( hAPP( X, Y ) ) ), 
% 0.96/1.36    ~( 'c_List_Oall__from__to__nat'( X, 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y, 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.36     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.96/1.36     ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T, 
% 0.96/1.36    Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T, 
% 0.96/1.36    Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.96/1.36     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T, 
% 0.96/1.36    X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 0.96/1.36    T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ), Y ) ) ) ],
% 0.96/1.36     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T, 
% 0.96/1.36    X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 0.96/1.36    , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.36    , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.96/1.36     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y, 
% 0.96/1.36    Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.96/1.36     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~( 
% 0.96/1.36    'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.96/1.36     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~( 
% 0.96/1.36    'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.96/1.36     ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.96/1.36     [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 
% 0.96/1.36    'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.96/1.36     ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, T, X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.36     ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), T ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), T ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.36     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.96/1.36    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.96/1.36    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ), X ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.96/1.36    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.96/1.36    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.36     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.36     ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 0.96/1.36    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.96/1.36    , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.96/1.36    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 0.96/1.36    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.96/1.36     ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.96/1.36    Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X )
% 0.96/1.36    , Y ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 0.96/1.36     ), Y ) ) ) ],
% 0.96/1.36     [ 'c_List_Oall__from__to__nat'( X, Y, Z ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'tc_nat' ), Y ), Z ) ) ), ~( 'c_List_Oall__from__to__nat'( X, Y, Z ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 0.96/1.36     ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z
% 0.96/1.36     ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 0.96/1.36    , X ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.96/1.36    X ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.96/1.36    X ) ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 0.96/1.36    , X ), 'c_Suc'( Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'tc_nat' ), X ), Y ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 0.96/1.36    , Y ), 'c_Suc'( X ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'tc_nat' ), Y ), X ) ) ],
% 0.96/1.36     [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 0.96/1.36     ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 0.96/1.36     ), 'c_Suc'( Y ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 0.96/1.36     ), Y ) ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X ) ), 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y )
% 0.96/1.36     ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), 
% 0.96/1.36    'c_Suc'( X ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.96/1.36    Y ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 0.96/1.36     ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 0.96/1.36     ), 'c_Suc'( Y ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 0.96/1.36     ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.36     [ 'c_Orderings_Opreorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 0.96/1.36    , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Opreorder'( X, Z, Y ) ) ],
% 0.96/1.36     [ 'c_Orderings_Olinorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 0.96/1.36    , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Olinorder'( X, Z, Y ) ) ],
% 0.96/1.36     [ 'c_Orderings_Oorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z, Y
% 0.96/1.36    , Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Oorder'( X, Z, Y ) ) ],
% 0.96/1.36     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.96/1.36     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.96/1.36     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( 
% 0.96/1.36    Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( Y ) ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), X )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ), 
% 0.96/1.36    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ), ~( 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( Y ) ), X ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 
% 0.96/1.36    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( 
% 0.96/1.36    X ) ) ) ],
% 0.96/1.36     [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X
% 0.96/1.36     ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'( 
% 0.96/1.36    Y ) ) ) ) ],
% 0.96/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.96/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =( 
% 0.96/1.36    Y, Z ) ],
% 0.96/1.36     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.96/1.36    X ), Y ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.96/1.36    X ), Y ) ],
% 0.96/1.36     [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.96/1.36    Z, Y ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.96/1.36    Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.96/1.36    Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.96/1.36    Z, Y ) ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.96/1.36    Y, X ) ) ) ) ],
% 0.96/1.36     [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.96/1.36    Z, X ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y, 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.96/1.36    Z, X ) ) ) ) ],
% 0.96/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.96/1.36    Y, X ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.96/1.36    Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.96/1.36    Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 0.96/1.36    'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.96/1.36     ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.96/1.36    , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), Z ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_in'( X ), U ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), Y ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.96/1.36    X ) ), Z ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.36    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.36     ) ), Z ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.36    , Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.36    , Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 
% 0.96/1.36    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.96/1.36     ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 
% 0.96/1.36    'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~( 
% 0.96/1.36    'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~( 
% 0.96/1.36    'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.96/1.36     ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 
% 0.96/1.36    'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.96/1.36     ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y
% 0.96/1.36    , X, X ) ), T ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), U )
% 0.96/1.36     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~( 
% 0.96/1.36    'c_Relation_Ototal__on'( U, T, X ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X, T ) ), 
% 0.96/1.36    'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( T, Y, U, X ) ), 
% 0.96/1.36    'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 0.96/1.36    , T ) ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 0.96/1.36    , T ) ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 0.96/1.36    , X ) ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 0.96/1.36    , X ) ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~( 
% 0.96/1.36    'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~( 
% 0.96/1.36    'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.96/1.36     ), 'c_Relation_OId__on'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.96/1.36    Y ), Z ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), 
% 0.96/1.36    'c_Relation_OId__on'( Z, X ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.96/1.36     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y, 
% 0.96/1.36    U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.96/1.36     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y, 
% 0.96/1.36    U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 0.96/1.36     ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), 
% 0.96/1.36    'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 0.96/1.36     ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), 
% 0.96/1.36    'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.96/1.36     ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.96/1.36    Z ), U ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.96/1.36     ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.96/1.36    Z ), U ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ), X ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ) )
% 0.96/1.36    , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ) )
% 0.96/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'( 
% 0.96/1.36    'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( 'c_COMBC'( 
% 0.96/1.36    'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_Orderings_Olinorder'( 
% 0.96/1.36    'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 0.96/1.36    Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T, 
% 0.96/1.36    Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 0.96/1.36    Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.96/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z )
% 0.96/1.36    , T ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T, 
% 0.96/1.36    Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( X, Y )
% 0.96/1.36     ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 
% 0.96/1.36    'c_Pair'( Y, Z, T, T ) ), 'c_Wellfounded_Omeasure'( X, T ) ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.96/1.36     ), 'c_Wellfounded_Omeasure'( T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.96/1.36     ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ 'c_Fun_Oinj__on'( 'v_h____', 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat' ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), T ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.96/1.36     ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), U ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ 'c_List_Oall__from__to__nat'( X, 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z ), ~( hBOOL( hAPP( X
% 0.96/1.36    , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y
% 0.96/1.36     ), Z ) ) ), ~( 'c_List_Oall__from__to__nat'( X, Y, Z ) ) ],
% 0.96/1.36     [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 0.96/1.36    'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.96/1.36     ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.96/1.36    , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), 
% 0.96/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.96/1.36    hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 0.96/1.36    , T ), W ) ) ) ],
% 0.96/1.36     [ =( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_n' ), hAPP( 
% 0.96/1.36    'c_lessequals'( 'tc_nat' ), 'c_Suc'( 'v_n' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.36    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ), 
% 0.96/1.36    'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.36    'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 
% 0.96/1.36    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBC'( 
% 0.96/1.36    'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat', 
% 0.96/1.36    'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ), 'tc_bool'
% 0.96/1.36    , 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.96/1.36    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ), 
% 0.96/1.36    'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 0.96/1.36     [ 'v_thesis____', ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.96/1.36    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.36    , 'tc_nat', 'tc_bool' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'( 
% 0.96/1.36    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.96/1.36    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.96/1.36    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.36    , 'tc_nat', 'tc_bool' ), 'v_sko__local__Xthat__1'( 'v_F', 'v_Lab____', 
% 0.96/1.36    'v_Lba____', 'v_a____', 'v_b____', 'v_h____', X ) ), 'tc_bool', 'tc_fun'( 
% 0.96/1.36    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.96/1.36    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.96/1.36    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.96/1.36    'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ) ],
% 0.96/1.36     [ 'v_thesis____', ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.36    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.96/1.36    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.36    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.36    , 'tc_nat', 'tc_bool' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.96/1.36    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'( 
% 0.96/1.36    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.96/1.36    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.36    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'v_sko__local__Xthat__1'( 
% 0.96/1.36    'v_F', 'v_Lab____', 'v_Lba____', 'v_a____', 'v_b____', 'v_h____', X ) ), 
% 0.96/1.36    X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.96/1.36    'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.96/1.36    'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.36    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.36    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( Y, T
% 0.96/1.37    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.37    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.96/1.37    , Y, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.37    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ) ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.37    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.37     ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.37    X ), Y ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) )
% 0.96/1.37     ) ],
% 0.96/1.37     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.37    =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 0.96/1.37     ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.37    =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 0.96/1.37    Z ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.96/1.37    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( Y, T
% 0.96/1.37    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.37    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.37    , T, X ) ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.37    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z
% 0.96/1.37    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.96/1.37    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z
% 0.96/1.37    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), Y ) ) ) ],
% 0.96/1.37     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), X ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.37     ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.37    , 'c_HOL_Oone__class_Oone'( X ), X ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, X
% 0.96/1.37    , 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.37    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( T, Y, X ) ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.37    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.96/1.37    Z, X ) ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.37    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.37    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.96/1.37    Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.37    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 0.96/1.37     ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.96/1.37    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, U
% 0.96/1.37    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), U )
% 0.96/1.37     ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.37    X ), Z ), Y ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.37    X ), Y ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.37    X ), Y ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.37    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =( 
% 0.96/1.37    Y, X ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.37    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =( 
% 0.96/1.37    Y, X ) ],
% 0.96/1.37     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X )
% 0.96/1.37     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.37     ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.37     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.37     ), Y ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'( 
% 0.96/1.37    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.96/1.37    X ) ) ],
% 0.96/1.37     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), T ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.96/1.37    X ) ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 0.96/1.37    X ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 0.96/1.37    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.37    X ), Y ), T ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 0.96/1.37    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 0.96/1.37    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.37    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, X
% 0.96/1.37    , 'tc_nat' ) ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z
% 0.96/1.37    , 'tc_nat' ) ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 0.96/1.37    U ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Z ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Z ), Y ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.37     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.96/1.37     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.96/1.37     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.96/1.37    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.96/1.37    X ) ) ), =( Z, T ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 0.96/1.37    X ) ) ), =( Z, T ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 0.96/1.37    X ) ) ), =( Y, T ) ],
% 0.96/1.37     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 0.96/1.37    X ), X ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.96/1.37    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, U
% 0.96/1.37    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), U )
% 0.96/1.37     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.96/1.37    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 
% 0.96/1.37    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, U
% 0.96/1.37    , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( 
% 0.96/1.37    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.37    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.96/1.37    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.37    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.37    , 'tc_nat', 'tc_bool' ), 'c_HOL_Oplus__class_Oplus'( 'v_sko__CHAINED__1'( 
% 0.96/1.37    'v_F', 'v_Lab____', 'v_Lba____', 'v_a____', 'v_b____', 'v_h____' ), 
% 0.96/1.37    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.37    , 'c_Pair'( 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.96/1.37    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.37    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.37    , 'tc_nat', 'tc_bool' ), X ), 'tc_bool', 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.37    , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ) ), 'v_Lab____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ), 'v_Lba____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 0.96/1.37    'tc_nat' ), X ), 'v_sko__CHAINED__1'( 'v_F', 'v_Lab____', 'v_Lba____', 
% 0.96/1.37    'v_a____', 'v_b____', 'v_h____' ) ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 0.96/1.37    'v_sko__CHAINED__1'( 'v_F', 'v_Lab____', 'v_Lba____', 'v_a____', 
% 0.96/1.37    'v_b____', 'v_h____' ) ), 'c_Finite__Set_Ocard'( 
% 0.96/1.37    'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ],
% 0.96/1.37     [ ~( 'v_thesis____' ) ],
% 0.96/1.37     [ 'v_thesis____', ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.37    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.96/1.37    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.37    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.37    , 'tc_nat', 'tc_bool' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.96/1.37    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.96/1.37    , hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( 'v_n', X ) ), X )
% 0.96/1.37     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ) ],
% 0.96/1.37     [ 'v_thesis____', ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.37    , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.96/1.37    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.37    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.37    , 'tc_nat', 'tc_bool' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 0.96/1.37    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.37    , 'c_Pair'( 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 
% 0.96/1.37    'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 
% 0.96/1.37    'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.37    , 'tc_nat', 'tc_bool' ), hAPP( 'v_n', X ) ), 'tc_bool', 'tc_fun'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.96/1.37    'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 
% 0.96/1.37    'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ), 
% 0.96/1.37    'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ) ],
% 0.96/1.37     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.96/1.37     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.37     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.37    'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.37     [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'( 
% 0.96/1.37    Y ) ) ],
% 0.96/1.37     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.96/1.37    Y ) ) ],
% 0.96/1.37     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.96/1.37     ],
% 0.96/1.37     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.96/1.37     ) ],
% 0.96/1.37     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.96/1.37     [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.96/1.37     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.96/1.37     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 0.96/1.37    U ) ) ],
% 0.96/1.37     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_fequal'( X, X, Y ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.96/1.37  ] .
% 0.96/1.37  
% 0.96/1.37  
% 0.96/1.37  percentage equality = 0.143621, percentage horn = 0.852878
% 0.96/1.37  This is a problem with some equality
% 0.96/1.37  
% 0.96/1.37  
% 0.96/1.37  
% 0.96/1.37  Options Used:
% 0.96/1.37  
% 0.96/1.37  useres =            1
% 0.96/1.37  useparamod =        1
% 0.96/1.37  useeqrefl =         1
% 0.96/1.37  useeqfact =         1
% 0.96/1.37  usefactor =         1
% 0.96/1.37  usesimpsplitting =  0
% 0.96/1.37  usesimpdemod =      5
% 0.96/1.37  usesimpres =        3
% 0.96/1.37  
% 0.96/1.37  resimpinuse      =  1000
% 0.96/1.37  resimpclauses =     20000
% 0.96/1.37  substype =          eqrewr
% 0.96/1.37  backwardsubs =      1
% 0.96/1.37  selectoldest =      5
% 0.96/1.37  
% 0.96/1.37  litorderings [0] =  split
% 0.96/1.37  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.96/1.37  
% 0.96/1.37  termordering =      kbo
% 0.96/1.37  
% 0.96/1.37  litapriori =        0
% 0.96/1.37  termapriori =       1
% 0.96/1.37  litaposteriori =    0
% 0.96/1.37  termaposteriori =   0
% 0.96/1.37  demodaposteriori =  0
% 0.96/1.37  ordereqreflfact =   0
% 0.96/1.37  
% 0.96/1.37  litselect =         negord
% 0.96/1.37  
% 0.96/1.37  maxweight =         15
% 0.96/1.37  maxdepth =          30000
% 0.96/1.37  maxlength =         115
% 0.96/1.37  maxnrvars =         195
% 0.96/1.37  excuselevel =       1
% 0.96/1.37  increasemaxweight = 1
% 0.96/1.37  
% 0.96/1.37  maxselected =       10000000
% 0.96/1.37  maxnrclauses =      10000000
% 0.96/1.37  
% 0.96/1.37  showgenerated =    0
% 0.96/1.37  showkept =         0
% 0.96/1.37  showselected =     0
% 0.96/1.37  showdeleted =      0
% 0.96/1.37  showresimp =       1
% 0.96/1.37  showstatus =       2000
% 0.96/1.37  
% 0.96/1.37  prologoutput =     1
% 0.96/1.37  nrgoals =          5000000
% 0.96/1.37  totalproof =       1
% 0.96/1.37  
% 0.96/1.37  Symbols occurring in the translation:
% 0.96/1.37  
% 0.96/1.37  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.96/1.37  .  [1, 2]      (w:1, o:112, a:1, s:1, b:0), 
% 0.96/1.37  !  [4, 1]      (w:0, o:62, a:1, s:1, b:0), 
% 0.96/1.37  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.96/1.37  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.96/1.37  'class_OrderedGroup_Olordered__ab__group__add'  [40, 1]      (w:1, o:67, a:
% 0.96/1.37    1, s:1, b:0), 
% 0.96/1.37  'c_lessequals'  [41, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 0.96/1.37  hAPP  [43, 2]      (w:1, o:137, a:1, s:1, b:0), 
% 0.96/1.37  'c_HOL_Ouminus__class_Ouminus'  [45, 2]      (w:1, o:138, a:1, s:1, b:0), 
% 0.96/1.37  hBOOL  [46, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 0.96/1.37  'c_HOL_Oplus__class_Oplus'  [47, 3]      (w:1, o:147, a:1, s:1, b:0), 
% 0.96/1.37  'c_HOL_Ozero__class_Ozero'  [48, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 0.96/1.37  'tc_bool'  [49, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.96/1.37  'tc_fun'  [50, 2]      (w:1, o:139, a:1, s:1, b:0), 
% 0.96/1.37  'c_Orderings_Otop__class_Otop'  [51, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 0.96/1.37  'c_Orderings_Obot__class_Obot'  [52, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 0.96/1.37  'class_OrderedGroup_Oab__group__add'  [53, 1]      (w:1, o:73, a:1, s:1, b:
% 0.96/1.37    0), 
% 0.96/1.37  'class_OrderedGroup_Ogroup__add'  [57, 1]      (w:1, o:74, a:1, s:1, b:0), 
% 0.96/1.37    
% 0.96/1.37  'class_OrderedGroup_Opordered__ab__group__add'  [58, 1]      (w:1, o:76, a:
% 0.96/1.37    1, s:1, b:0), 
% 0.96/1.37  'c_HOL_Oord__class_Oless'  [59, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 0.96/1.37  'class_Orderings_Obot'  [60, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 0.96/1.37  'c_in'  [62, 1]      (w:1, o:79, a:1, s:1, b:0), 
% 0.96/1.37  'class_Lattices_Oboolean__algebra'  [65, 1]      (w:1, o:80, a:1, s:1, b:0)
% 0.96/1.37    , 
% 0.96/1.37  'class_Ring__and__Field_Ofield'  [66, 1]      (w:1, o:81, a:1, s:1, b:0), 
% 0.96/1.37  'c_HOL_Oinverse__class_Odivide'  [67, 3]      (w:1, o:148, a:1, s:1, b:0), 
% 0.96/1.37    
% 0.96/1.37  'class_Ring__and__Field_Odivision__by__zero'  [68, 1]      (w:1, o:83, a:1
% 3.97/4.37    , s:1, b:0), 
% 3.97/4.37  'class_OrderedGroup_Oordered__ab__group__add'  [69, 1]      (w:1, o:75, a:1
% 3.97/4.37    , s:1, b:0), 
% 3.97/4.37  'c_Set_Ovimage'  [72, 4]      (w:1, o:162, a:1, s:1, b:0), 
% 3.97/4.37  'c_Fun_Oinj__on'  [73, 4]      (w:1, o:163, a:1, s:1, b:0), 
% 3.97/4.37  'c_Relation_OImage'  [75, 4]      (w:1, o:161, a:1, s:1, b:0), 
% 3.97/4.37  'c_Relation_Ototal__on'  [78, 3]      (w:1, o:149, a:1, s:1, b:0), 
% 3.97/4.37  'class_Ring__and__Field_Oordered__idom'  [79, 1]      (w:1, o:86, a:1, s:1
% 3.97/4.37    , b:0), 
% 3.97/4.37  'class_Ring__and__Field_Oordered__field'  [80, 1]      (w:1, o:87, a:1, s:1
% 3.97/4.37    , b:0), 
% 3.97/4.37  'class_Ring__and__Field_Osemiring__0'  [81, 1]      (w:1, o:89, a:1, s:1
% 3.97/4.37    , b:0), 
% 3.97/4.37  'class_Power_Opower'  [82, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 3.97/4.37  'c_Suc'  [84, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 3.97/4.37  'c_Power_Opower__class_Opower'  [85, 3]      (w:1, o:153, a:1, s:1, b:0), 
% 3.97/4.37  'class_Ring__and__Field_Oordered__semidom'  [86, 1]      (w:1, o:106, a:1
% 3.97/4.37    , s:1, b:0), 
% 3.97/4.37  'c_HOL_Oone__class_Oone'  [87, 1]      (w:1, o:107, a:1, s:1, b:0), 
% 3.97/4.37  'c_Relation_OId__on'  [88, 2]      (w:1, o:140, a:1, s:1, b:0), 
% 3.97/4.37  'c_Relation_Orefl__on'  [89, 3]      (w:1, o:154, a:1, s:1, b:0), 
% 3.97/4.37  'c_Orderings_Oorder'  [92, 3]      (w:1, o:150, a:1, s:1, b:0), 
% 3.97/4.37  'c_Relation_ODomain'  [93, 3]      (w:1, o:155, a:1, s:1, b:0), 
% 3.97/4.37  'c_Orderings_Opreorder'  [94, 3]      (w:1, o:151, a:1, s:1, b:0), 
% 3.97/4.37  'c_Orderings_Olinorder'  [95, 3]      (w:1, o:152, a:1, s:1, b:0), 
% 3.97/4.37  'c_HOL_OIf'  [96, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 3.97/4.37  'c_COMBC'  [97, 4]      (w:1, o:164, a:1, s:1, b:0), 
% 3.97/4.37  'c_COMBB'  [98, 5]      (w:1, o:167, a:1, s:1, b:0), 
% 3.97/4.37  'c_Relation_ORange'  [102, 3]      (w:1, o:156, a:1, s:1, b:0), 
% 3.97/4.37  'c_Equiv__Relations_Oequiv'  [103, 3]      (w:1, o:157, a:1, s:1, b:0), 
% 3.97/4.37  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [104, 1]      (w:1
% 3.97/4.37    , o:88, a:1, s:1, b:0), 
% 3.97/4.37  'class_Ring__and__Field_Ozero__neq__one'  [105, 1]      (w:1, o:109, a:1
% 3.97/4.37    , s:1, b:0), 
% 3.97/4.37  'class_Ring__and__Field_Ono__zero__divisors'  [106, 1]      (w:1, o:85, a:1
% 3.97/4.37    , s:1, b:0), 
% 3.97/4.37  'class_Ring__and__Field_Omult__zero'  [107, 1]      (w:1, o:84, a:1, s:1
% 3.97/4.37    , b:0), 
% 3.97/4.37  'tc_nat'  [109, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 3.97/4.37  'class_Orderings_Opreorder'  [110, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 3.97/4.37  'class_OrderedGroup_Opordered__comm__monoid__add'  [111, 1]      (w:1, o:92
% 3.97/4.37    , a:1, s:1, b:0), 
% 3.97/4.37  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [112, 1]      
% 3.97/4.37    (w:1, o:93, a:1, s:1, b:0), 
% 3.97/4.37  'class_OrderedGroup_Ocomm__monoid__add'  [113, 1]      (w:1, o:94, a:1, s:1
% 3.97/4.37    , b:0), 
% 3.97/4.37  'tc_prod'  [115, 2]      (w:1, o:141, a:1, s:1, b:0), 
% 3.97/4.37  'c_Pair'  [116, 4]      (w:1, o:165, a:1, s:1, b:0), 
% 3.97/4.37  'c_List_Oall__from__to__nat'  [119, 3]      (w:1, o:158, a:1, s:1, b:0), 
% 3.97/4.37  'tc_Arrow__Order__Mirabelle_Oalt'  [120, 0]      (w:1, o:42, a:1, s:1, b:0)
% 3.97/4.37    , 
% 3.97/4.37  'c_Arrow__Order__Mirabelle_Omkbot'  [122, 2]      (w:1, o:142, a:1, s:1, b:
% 3.97/4.37    0), 
% 3.97/4.37  'class_Ring__and__Field_Oidom'  [126, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 3.97/4.37    
% 3.97/4.37  'class_Int_Onumber__ring'  [127, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 3.97/4.37  'class_Ring__and__Field_Ocomm__semiring__1'  [128, 1]      (w:1, o:82, a:1
% 3.97/4.37    , s:1, b:0), 
% 3.97/4.37  'class_OrderedGroup_Omonoid__add'  [129, 1]      (w:1, o:95, a:1, s:1, b:0)
% 3.97/4.37    , 
% 3.97/4.37  'class_OrderedGroup_Omonoid__mult'  [130, 1]      (w:1, o:96, a:1, s:1, b:0
% 3.97/4.37    ), 
% 3.97/4.37  'c_Arrow__Order__Mirabelle_Omktop'  [132, 2]      (w:1, o:143, a:1, s:1, b:
% 3.97/4.37    0), 
% 3.97/4.37  'c_Product__Type_OSigma'  [133, 4]      (w:1, o:166, a:1, s:1, b:0), 
% 3.97/4.37  'c_Wellfounded_Oacc'  [134, 2]      (w:1, o:144, a:1, s:1, b:0), 
% 3.97/4.37  'class_Orderings_Oorder'  [135, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 3.97/4.37  'class_Orderings_Olinorder'  [136, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 3.97/4.37  'c_Wellfounded_Omeasure'  [137, 2]      (w:1, o:145, a:1, s:1, b:0), 
% 3.97/4.37  'c_Wellfounded_Omlex__prod'  [138, 3]      (w:1, o:159, a:1, s:1, b:0), 
% 3.97/4.37  'v_h____'  [139, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 3.97/4.37  'tc_Arrow__Order__Mirabelle_Oindi'  [140, 0]      (w:1, o:46, a:1, s:1, b:0
% 3.97/4.37    ), 
% 3.97/4.37  'v_n'  [141, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 3.97/4.37  'v_Lab____'  [142, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 3.97/4.37  'v_Lba____'  [143, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 3.97/4.37  'c_Arrow__Order__Mirabelle_OProf'  [144, 0]      (w:1, o:50, a:1, s:1, b:0)
% 3.97/4.37    , 
% 3.97/4.37  'v_thesis____'  [145, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 20.81/21.24  'v_a____'  [146, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 20.81/21.24  'v_b____'  [147, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 20.81/21.24  'v_F'  [148, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 20.81/21.24  'v_sko__local__Xthat__1'  [149, 7]      (w:1, o:169, a:1, s:1, b:0), 
% 20.81/21.24  'c_Finite__Set_Ocard'  [150, 2]      (w:1, o:146, a:1, s:1, b:0), 
% 20.81/21.24  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [153, 1]      
% 20.81/21.24    (w:1, o:98, a:1, s:1, b:0), 
% 20.81/21.24  'class_Orderings_Otop'  [154, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 20.81/21.24  'class_OrderedGroup_Opordered__ab__semigroup__add'  [155, 1]      (w:1, o:
% 20.81/21.24    100, a:1, s:1, b:0), 
% 20.81/21.24  'class_OrderedGroup_Oab__semigroup__add'  [157, 1]      (w:1, o:101, a:1
% 20.81/21.24    , s:1, b:0), 
% 20.81/21.24  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [161, 1]      (w:1, o:102
% 20.81/21.24    , a:1, s:1, b:0), 
% 20.81/21.24  'class_OrderedGroup_Ocancel__semigroup__add'  [162, 1]      (w:1, o:103, a:
% 20.81/21.24    1, s:1, b:0), 
% 20.81/21.24  'v_sko__CHAINED__1'  [163, 6]      (w:1, o:168, a:1, s:1, b:0), 
% 20.81/21.24  'c_fequal'  [167, 3]      (w:1, o:160, a:1, s:1, b:0).
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Starting Search:
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    3383
% 20.81/21.24  Kept:         2000
% 20.81/21.24  Inuse:        185
% 20.81/21.24  Deleted:      2
% 20.81/21.24  Deletedinuse: 0
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    8341
% 20.81/21.24  Kept:         4035
% 20.81/21.24  Inuse:        244
% 20.81/21.24  Deleted:      2
% 20.81/21.24  Deletedinuse: 0
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    17690
% 20.81/21.24  Kept:         6393
% 20.81/21.24  Inuse:        284
% 20.81/21.24  Deleted:      2
% 20.81/21.24  Deletedinuse: 0
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    25639
% 20.81/21.24  Kept:         9208
% 20.81/21.24  Inuse:        347
% 20.81/21.24  Deleted:      2
% 20.81/21.24  Deletedinuse: 0
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    32282
% 20.81/21.24  Kept:         11256
% 20.81/21.24  Inuse:        399
% 20.81/21.24  Deleted:      2
% 20.81/21.24  Deletedinuse: 0
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    38369
% 20.81/21.24  Kept:         13265
% 20.81/21.24  Inuse:        438
% 20.81/21.24  Deleted:      3
% 20.81/21.24  Deletedinuse: 0
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    44518
% 20.81/21.24  Kept:         15280
% 20.81/21.24  Inuse:        486
% 20.81/21.24  Deleted:      9
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    50378
% 20.81/21.24  Kept:         17282
% 20.81/21.24  Inuse:        534
% 20.81/21.24  Deleted:      9
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    56098
% 20.81/21.24  Kept:         19283
% 20.81/21.24  Inuse:        576
% 20.81/21.24  Deleted:      9
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying clauses:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    64440
% 20.81/21.24  Kept:         21972
% 20.81/21.24  Inuse:        593
% 20.81/21.24  Deleted:      535
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    77915
% 20.81/21.24  Kept:         24550
% 20.81/21.24  Inuse:        628
% 20.81/21.24  Deleted:      535
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    89596
% 20.81/21.24  Kept:         26648
% 20.81/21.24  Inuse:        653
% 20.81/21.24  Deleted:      535
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    100438
% 20.81/21.24  Kept:         29139
% 20.81/21.24  Inuse:        658
% 20.81/21.24  Deleted:      535
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    108140
% 20.81/21.24  Kept:         31173
% 20.81/21.24  Inuse:        672
% 20.81/21.24  Deleted:      535
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    115968
% 20.81/21.24  Kept:         33193
% 20.81/21.24  Inuse:        702
% 20.81/21.24  Deleted:      535
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    127860
% 20.81/21.24  Kept:         35573
% 20.81/21.24  Inuse:        708
% 20.81/21.24  Deleted:      535
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    135475
% 20.81/21.24  Kept:         37601
% 20.81/21.24  Inuse:        738
% 20.81/21.24  Deleted:      535
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    142347
% 20.81/21.24  Kept:         39682
% 20.81/21.24  Inuse:        768
% 20.81/21.24  Deleted:      535
% 20.81/21.24  Deletedinuse: 6
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying clauses:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  Resimplifying inuse:
% 20.81/21.24  Done
% 20.81/21.24  
% 20.81/21.24  
% 20.81/21.24  Intermediate Status:
% 20.81/21.24  Generated:    156290
% 20.81/21.24  Kept:         42399
% 63.71/64.17  Inuse:        798
% 63.71/64.17  Deleted:      825
% 63.71/64.17  Deletedinuse: 6
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    164927
% 63.71/64.17  Kept:         44615
% 63.71/64.17  Inuse:        803
% 63.71/64.17  Deleted:      825
% 63.71/64.17  Deletedinuse: 6
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    180774
% 63.71/64.17  Kept:         48909
% 63.71/64.17  Inuse:        838
% 63.71/64.17  Deleted:      830
% 63.71/64.17  Deletedinuse: 11
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    190823
% 63.71/64.17  Kept:         51304
% 63.71/64.17  Inuse:        848
% 63.71/64.17  Deleted:      830
% 63.71/64.17  Deletedinuse: 11
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    206623
% 63.71/64.17  Kept:         55510
% 63.71/64.17  Inuse:        873
% 63.71/64.17  Deleted:      830
% 63.71/64.17  Deletedinuse: 11
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    216054
% 63.71/64.17  Kept:         57514
% 63.71/64.17  Inuse:        894
% 63.71/64.17  Deleted:      830
% 63.71/64.17  Deletedinuse: 11
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    226501
% 63.71/64.17  Kept:         60122
% 63.71/64.17  Inuse:        898
% 63.71/64.17  Deleted:      830
% 63.71/64.17  Deletedinuse: 11
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  Resimplifying clauses:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    251082
% 63.71/64.17  Kept:         62960
% 63.71/64.17  Inuse:        908
% 63.71/64.17  Deleted:      1503
% 63.71/64.17  Deletedinuse: 11
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    263631
% 63.71/64.17  Kept:         65149
% 63.71/64.17  Inuse:        922
% 63.71/64.17  Deleted:      1507
% 63.71/64.17  Deletedinuse: 14
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    273321
% 63.71/64.17  Kept:         67313
% 63.71/64.17  Inuse:        937
% 63.71/64.17  Deleted:      1507
% 63.71/64.17  Deletedinuse: 14
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    287765
% 63.71/64.17  Kept:         69799
% 63.71/64.17  Inuse:        952
% 63.71/64.17  Deleted:      1507
% 63.71/64.17  Deletedinuse: 14
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    297004
% 63.71/64.17  Kept:         72254
% 63.71/64.17  Inuse:        971
% 63.71/64.17  Deleted:      1509
% 63.71/64.17  Deletedinuse: 15
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.17  Done
% 63.71/64.17  
% 63.71/64.17  
% 63.71/64.17  Intermediate Status:
% 63.71/64.17  Generated:    307666
% 63.71/64.17  Kept:         75118
% 63.71/64.17  Inuse:        986
% 63.71/64.17  Deleted:      1509
% 63.71/64.17  Deletedinuse: 15
% 63.71/64.17  
% 63.71/64.17  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    315576
% 63.71/64.18  Kept:         77374
% 63.71/64.18  Inuse:        1011
% 63.71/64.18  Deleted:      1509
% 63.71/64.18  Deletedinuse: 15
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    328056
% 63.71/64.18  Kept:         79501
% 63.71/64.18  Inuse:        1026
% 63.71/64.18  Deleted:      1509
% 63.71/64.18  Deletedinuse: 15
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    334569
% 63.71/64.18  Kept:         81584
% 63.71/64.18  Inuse:        1051
% 63.71/64.18  Deleted:      1509
% 63.71/64.18  Deletedinuse: 15
% 63.71/64.18  
% 63.71/64.18  Resimplifying clauses:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    343603
% 63.71/64.18  Kept:         83676
% 63.71/64.18  Inuse:        1078
% 63.71/64.18  Deleted:      1875
% 63.71/64.18  Deletedinuse: 16
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    356369
% 63.71/64.18  Kept:         86887
% 63.71/64.18  Inuse:        1083
% 63.71/64.18  Deleted:      1875
% 63.71/64.18  Deletedinuse: 16
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    364909
% 63.71/64.18  Kept:         89056
% 63.71/64.18  Inuse:        1091
% 63.71/64.18  Deleted:      1877
% 63.71/64.18  Deletedinuse: 16
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    373270
% 63.71/64.18  Kept:         91074
% 63.71/64.18  Inuse:        1118
% 63.71/64.18  Deleted:      1888
% 63.71/64.18  Deletedinuse: 24
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    383575
% 63.71/64.18  Kept:         93075
% 63.71/64.18  Inuse:        1147
% 63.71/64.18  Deleted:      1893
% 63.71/64.18  Deletedinuse: 24
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    393878
% 63.71/64.18  Kept:         95622
% 63.71/64.18  Inuse:        1158
% 63.71/64.18  Deleted:      1893
% 63.71/64.18  Deletedinuse: 24
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    421281
% 63.71/64.18  Kept:         100981
% 63.71/64.18  Inuse:        1173
% 63.71/64.18  Deleted:      1893
% 63.71/64.18  Deletedinuse: 24
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    459023
% 63.71/64.18  Kept:         107576
% 63.71/64.18  Inuse:        1178
% 63.71/64.18  Deleted:      1893
% 63.71/64.18  Deletedinuse: 24
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying clauses:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  Resimplifying inuse:
% 63.71/64.18  Done
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    471275
% 63.71/64.18  Kept:         109588
% 63.71/64.18  Inuse:        1182
% 63.71/64.18  Deleted:      2335
% 63.71/64.18  Deletedinuse: 56
% 63.71/64.18  
% 63.71/64.18  
% 63.71/64.18  Intermediate Status:
% 63.71/64.18  Generated:    508779
% 63.71/64.18  Kept:         116162
% 140.46/140.89  Inuse:        1183
% 140.46/140.89  Deleted:      2335
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    525571
% 140.46/140.89  Kept:         120236
% 140.46/140.89  Inuse:        1193
% 140.46/140.89  Deleted:      2335
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    568516
% 140.46/140.89  Kept:         127500
% 140.46/140.89  Inuse:        1203
% 140.46/140.89  Deleted:      2335
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    611005
% 140.46/140.89  Kept:         134361
% 140.46/140.89  Inuse:        1208
% 140.46/140.89  Deleted:      2335
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying clauses:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    618889
% 140.46/140.89  Kept:         136496
% 140.46/140.89  Inuse:        1218
% 140.46/140.89  Deleted:      3603
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    627639
% 140.46/140.89  Kept:         139100
% 140.46/140.89  Inuse:        1233
% 140.46/140.89  Deleted:      3603
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    635540
% 140.46/140.89  Kept:         141459
% 140.46/140.89  Inuse:        1248
% 140.46/140.89  Deleted:      3603
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    661102
% 140.46/140.89  Kept:         145130
% 140.46/140.89  Inuse:        1263
% 140.46/140.89  Deleted:      3603
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    667509
% 140.46/140.89  Kept:         147323
% 140.46/140.89  Inuse:        1278
% 140.46/140.89  Deleted:      3603
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    674102
% 140.46/140.89  Kept:         149377
% 140.46/140.89  Inuse:        1293
% 140.46/140.89  Deleted:      3603
% 140.46/140.89  Deletedinuse: 56
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    681765
% 140.46/140.89  Kept:         151839
% 140.46/140.89  Inuse:        1308
% 140.46/140.89  Deleted:      3604
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    689247
% 140.46/140.89  Kept:         153853
% 140.46/140.89  Inuse:        1320
% 140.46/140.89  Deleted:      3604
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying clauses:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    695163
% 140.46/140.89  Kept:         155945
% 140.46/140.89  Inuse:        1333
% 140.46/140.89  Deleted:      3787
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    703531
% 140.46/140.89  Kept:         158196
% 140.46/140.89  Inuse:        1353
% 140.46/140.89  Deleted:      3787
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    710974
% 140.46/140.89  Kept:         160213
% 140.46/140.89  Inuse:        1365
% 140.46/140.89  Deleted:      3787
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    720492
% 140.46/140.89  Kept:         163039
% 140.46/140.89  Inuse:        1378
% 140.46/140.89  Deleted:      3787
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    734463
% 140.46/140.89  Kept:         165476
% 140.46/140.89  Inuse:        1393
% 140.46/140.89  Deleted:      3787
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    741687
% 140.46/140.89  Kept:         167922
% 140.46/140.89  Inuse:        1408
% 140.46/140.89  Deleted:      3787
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    751706
% 140.46/140.89  Kept:         170481
% 140.46/140.89  Inuse:        1418
% 140.46/140.89  Deleted:      3787
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    758056
% 140.46/140.89  Kept:         172482
% 140.46/140.89  Inuse:        1435
% 140.46/140.89  Deleted:      3787
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    765493
% 140.46/140.89  Kept:         174657
% 140.46/140.89  Inuse:        1448
% 140.46/140.89  Deleted:      3787
% 140.46/140.89  Deletedinuse: 57
% 140.46/140.89  
% 140.46/140.89  Resimplifying clauses:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    773949
% 140.46/140.89  Kept:         176765
% 140.46/140.89  Inuse:        1463
% 140.46/140.89  Deleted:      4101
% 140.46/140.89  Deletedinuse: 61
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    783150
% 140.46/140.89  Kept:         179159
% 140.46/140.89  Inuse:        1478
% 140.46/140.89  Deleted:      4101
% 140.46/140.89  Deletedinuse: 61
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    799419
% 140.46/140.89  Kept:         181467
% 140.46/140.89  Inuse:        1483
% 140.46/140.89  Deleted:      4101
% 140.46/140.89  Deletedinuse: 61
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    815732
% 140.46/140.89  Kept:         183777
% 140.46/140.89  Inuse:        1488
% 140.46/140.89  Deleted:      4101
% 140.46/140.89  Deletedinuse: 61
% 140.46/140.89  
% 140.46/140.89  Resimplifying inuse:
% 140.46/140.89  Done
% 140.46/140.89  
% 140.46/140.89  
% 140.46/140.89  Intermediate Status:
% 140.46/140.89  Generated:    834592
% 140.46/140.89  Kept:         188596
% 140.46/140.89  Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------