TSTP Solution File: SWV867-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV867-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:28:55 EDT 2022

% Result   : Timeout 300.10s 300.49s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV867-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue Jun 14 19:34:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.89/1.29  *** allocated 10000 integers for termspace/termends
% 0.89/1.29  *** allocated 10000 integers for clauses
% 0.89/1.29  *** allocated 10000 integers for justifications
% 0.89/1.29  *** allocated 15000 integers for termspace/termends
% 0.89/1.29  Bliksem 1.12
% 0.89/1.29  
% 0.89/1.29  
% 0.89/1.29  Automatic Strategy Selection
% 0.89/1.29  
% 0.89/1.29  Clauses:
% 0.89/1.29  [
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29    , Y ), T ), Z ) ) ) ],
% 0.89/1.29     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.89/1.29    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, 
% 0.89/1.29    U, W ) ) ],
% 0.89/1.29     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.89/1.29    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), 
% 0.89/1.29    =( Y, Z ) ],
% 0.89/1.29     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.89/1.29    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), 
% 0.89/1.29    =( Y, Z ) ],
% 0.89/1.29     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.89/1.29     ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.89/1.29    , U ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~( 
% 0.89/1.29    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), 
% 0.89/1.29    'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~( 
% 0.89/1.29    'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29     [ 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.29     [ 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.89/1.29    , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.29    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), 
% 0.89/1.29    X ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.29    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), 
% 0.89/1.29    X ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.89/1.29    , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.89/1.29    , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), Y ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.89/1.29     [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T, 
% 0.89/1.29    'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~( 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.89/1.29     ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29     ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.89/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29    , T ), Y ), Z ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), T ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ) ), Z
% 0.89/1.29     ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), U ), T ) ) ), 
% 0.89/1.29    ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Z ), U ) ) ) ],
% 0.89/1.29     [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z )
% 0.89/1.29    , Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 
% 0.89/1.29    'c_Com_Ocom_OCond'( X, Z, U ) ), Y ), T ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.89/1.29    , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), T ), U ) ) )
% 0.89/1.29    , ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.29    , T, X ) ) ), =( Z, T ) ],
% 0.89/1.29     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29    , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ), 
% 0.89/1.29    Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( 
% 0.89/1.29    X, Y ) ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), Z
% 0.89/1.29     ), U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.29    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.89/1.29     [ =( 'c_COMBS'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), hAPP( Y, Z ) ) )
% 0.89/1.29     ],
% 0.89/1.29     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.29     [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 0.89/1.29    U ) ) ],
% 0.89/1.29     [ =( 'c_COMBB'( X, Y, Z, T, U, W ), hAPP( X, hAPP( Y, Z ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.89/1.29    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29    , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ), Y ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.89/1.29    , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.29     ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), 
% 0.89/1.29    'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), 
% 0.89/1.29    'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'( 
% 0.89/1.29    'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.89/1.29    hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.89/1.29    , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( hAPP( X, Y ), 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.89/1.29    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.89/1.29    , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.89/1.29    , 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 0.89/1.29     [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.89/1.29    'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ), 
% 0.89/1.29    Z ), Z ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.29    'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.89/1.29    , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.89/1.29     [ =( 'c_Collect'( X, Y ), X ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.89/1.29    'c_Finite__Set_Ofun__left__comm__idem'( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.89/1.29    , T ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.89/1.29    , Z ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.29    'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.89/1.29    , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 0.89/1.29     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 
% 0.89/1.29    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.29    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 
% 0.89/1.29    'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'( 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'( 
% 0.89/1.29    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.89/1.29     ), X ) ],
% 0.89/1.29     [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ), 
% 0.89/1.29    X ), Y ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( Y, Z ) ), 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.29    T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.89/1.29    , =( Z, W ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.89/1.29    , =( Y, U ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.89/1.29    , =( X, T ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.29    'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'( 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.29    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.89/1.29     ) ],
% 0.89/1.29     [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.89/1.29     ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T, 
% 0.89/1.29    'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 
% 0.89/1.29    'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), T ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.29     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.29    =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.89/1.29    , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP' ), X ), X )
% 0.89/1.29     ) ],
% 0.89/1.29     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 0.89/1.29    , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 0.89/1.29     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.89/1.29     ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.89/1.29     ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.89/1.29    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.29    , T ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.89/1.29    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.29    , T ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Z ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'( 
% 0.89/1.29    Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =( 
% 0.89/1.29    X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.89/1.29    , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), 
% 0.89/1.29    'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.29    , Z ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y )
% 0.89/1.29    , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), 
% 0.89/1.29    'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.29    , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29     ), hBOOL( 'c_in'( T, X, Z ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ), Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ), Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.89/1.29    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.89/1.29    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.89/1.29    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.89/1.29    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.89/1.29     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.89/1.29    , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.89/1.29    , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.89/1.29    Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.29    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.29    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.29    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.29    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.89/1.29    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.89/1.29    , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.29    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.29    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ), 
% 0.89/1.29    X ) ), Z ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.89/1.29     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.89/1.29    , V3, V4, U ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.89/1.29     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.89/1.29    , V3, V4, U ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), Y ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.89/1.29     ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.89/1.29    =( X, Z ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.89/1.29    =( Y, T ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.29    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.89/1.29    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.29    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.89/1.29    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29    , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.89/1.29    , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 0.89/1.29     ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), 
% 0.89/1.29    hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29    , T ), X ), Y ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29    , X ), T ), Y ) ) ) ],
% 0.89/1.29     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29    , U ), Y ), Z, T ) ) ],
% 0.89/1.29     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29    , Y ), U ), Z, T ) ) ],
% 0.89/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T, 
% 0.89/1.29    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 
% 0.89/1.29    'c_Com_Ocom_OSKIP' ), Y ), X ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.89/1.29    'c_Finite__Set_Ofun__left__comm__idem'( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ) ],
% 0.89/1.29     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.29    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29     ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.89/1.29    , V2, Z, Y ) ) ],
% 0.89/1.29     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.89/1.29    , Z, V2, Y ) ) ],
% 0.89/1.29     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.29    'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.89/1.29     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.29     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.29     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.89/1.29    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.29    , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.29     [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.89/1.29     ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), Y ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29     ) ) ), Y ), Y ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29     ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.89/1.29     ],
% 0.89/1.29     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.29     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ), Y, Z ) ],
% 0.89/1.29     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.89/1.29     ), X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.29    Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), Z ), ~( hBOOL( 
% 0.89/1.29    'c_in'( Y, Z, X ) ) ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.29    'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.89/1.29    , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), 
% 0.89/1.29    'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 
% 0.89/1.29    hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool'
% 0.89/1.29     ) ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.89/1.29    , Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.89/1.29    , 'tc_bool' ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.29    'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.89/1.29    , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.89/1.29    'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ), 
% 0.89/1.29    ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ), 
% 0.89/1.29    ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.89/1.29     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.29    U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.89/1.29    , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 0.89/1.29     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.29    U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.29    , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.29    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.29    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.29    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~( 
% 0.89/1.29    'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), 
% 0.89/1.29    'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~( 
% 0.89/1.29    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.29     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.89/1.29     ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( T
% 0.89/1.29    , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T
% 0.89/1.29    , U, X ) ), Y ), Z ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.89/1.29    , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), U ) ) )
% 0.89/1.29    , hBOOL( hAPP( X, T ) ) ],
% 0.89/1.29     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 
% 0.89/1.29    'tc_bool' ) ), hAPP( T, Y ) ), 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'( 
% 0.89/1.29    U, 'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.89/1.29    'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.89/1.29    Z, Y, X ) ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.29    , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( 
% 0.89/1.29    hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( 
% 0.89/1.29    hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.89/1.29    'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.89/1.29    , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.29    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.89/1.29    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.29    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.89/1.29    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.29    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.89/1.29    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.89/1.29     ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.89/1.29     ],
% 0.89/1.29     [ 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.29     [ 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.89/1.29    Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.89/1.29     ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.89/1.29    Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.89/1.29     ],
% 0.89/1.29     [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ), 
% 0.89/1.29    'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 0.89/1.29    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ), Y ), T ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.89/1.29    , 'v_x' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T, 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), 
% 0.89/1.29    Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.89/1.29     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'( 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 
% 0.89/1.29    'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, T ) ), Y ), Z ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.29    X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.29    X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.29    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), 
% 0.89/1.29    X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.29    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), 
% 0.89/1.29    X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.29    X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.29    X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.29    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.29    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.89/1.29    , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( 
% 0.89/1.29    X ), 'tc_Com_Ocom' ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.89/1.29    'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y ), Z ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y )
% 0.89/1.29    , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( 
% 0.89/1.29    'c_Com_Obody'( X ), 'tc_Com_Ocom' ) ), Y ), Z ) ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.29    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.29    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.29    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.89/1.29    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.89/1.29    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.29     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.89/1.29    'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.89/1.29    , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.89/1.29    'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.29     ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL( 
% 0.89/1.29    'c_in'( X, Z, Y ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.29     [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.89/1.29     ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.89/1.29     [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP( 
% 0.89/1.29    'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.89/1.29    , V4 ), W ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.89/1.29    , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X, 
% 0.89/1.29    'tc_fun'( U, 'tc_bool' ) ) ), 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'( 
% 0.89/1.29    U, 'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.29    Z, Y ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.29    Z, Y ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), 
% 0.89/1.29    ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.29     [ =( 'c_Fun_Ocomp'( hAPP( X, Y ), hAPP( X, Y ), Z, Z, Z ), hAPP( X, Y )
% 0.89/1.29     ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, Z ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.29    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.89/1.29    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.29    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( 
% 0.89/1.29    hAPP( 'c_Natural_Oevalc'( T ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.89/1.29    'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ) ), Y ), Z ) ) ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.89/1.29    Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'( 
% 0.89/1.29    Y, Z, X ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.89/1.29    'c_lessequals'( Z, Y, X ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), 
% 0.89/1.29    'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( 
% 0.89/1.29    hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.89/1.29    , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( 
% 0.89/1.29    hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Y ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 0.89/1.29    X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( 
% 0.89/1.29    hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , Z ), T ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), 
% 0.89/1.29    'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.29    hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29     ) ],
% 0.89/1.29     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_Set_Oinsert'( X ), X, 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL( 
% 0.89/1.29    'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'( 
% 0.89/1.29    Y, Z, X ) ) ) ],
% 0.89/1.29     [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y, 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.89/1.29     ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.89/1.29     [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y, 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.89/1.29     ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.89/1.29     [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X, 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP( 
% 0.89/1.29    hAPP( X, Y ), Z ), T ) ) ],
% 0.89/1.29     [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X, 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP( 
% 0.89/1.29    hAPP( X, Y ), Z ), T ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y, 
% 0.89/1.29    T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T, 
% 0.89/1.29    X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y, 
% 0.89/1.29    X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 0.89/1.29    X, hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.89/1.29    , 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'( 
% 0.89/1.29    'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate', 
% 0.89/1.29    'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ), 
% 0.89/1.29    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), Z, 'c_COMBK'( hAPP( T, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'( 
% 0.89/1.29    'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.89/1.29     [ =( 'c_COMBB'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( 'v_P'
% 0.89/1.29    , hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.89/1.29     [ =( 'c_COMBS'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP( 
% 0.89/1.29    'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.89/1.29     ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.89/1.29    , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 
% 0.89/1.29    hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.89/1.29    , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 0.89/1.29     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 0.89/1.29     ), X ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y )
% 0.89/1.29     ), 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'( 
% 0.89/1.29    'c_Com_Obody'( T ), 'tc_Com_Ocom' ), U, Y ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 0.89/1.29     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'( 'c_Com_Obody'( 
% 0.89/1.29    T ), 'tc_Com_Ocom' ), U, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ), 
% 0.89/1.29    V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.89/1.29    , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 0.89/1.29    , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.89/1.29    , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.89/1.29    , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__valids'( X, 
% 0.89/1.29    hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.89/1.29    , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.29    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 
% 0.89/1.29    'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.89/1.29    , 'tc_bool' ) ) ) ],
% 0.89/1.29     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~( 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 0.89/1.29     ) ],
% 0.89/1.29     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~( 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 0.89/1.29     ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.29    'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.89/1.29    , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.89/1.29    , Y ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.89/1.29    'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 0.89/1.29     ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 0.89/1.29     ), Z ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.29    'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ), 
% 0.89/1.29    Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.89/1.29     ) ],
% 0.89/1.29     [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~( 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~( 
% 0.89/1.29    'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), 
% 0.89/1.29    Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.89/1.29    , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), 
% 0.89/1.29    Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.29    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.89/1.29    hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29     [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.29    'tc_bool' ) ) ), T ), Y ) ) ) ],
% 0.89/1.29     [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.29    'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 0.89/1.29    , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 0.89/1.29    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.29    'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ), 
% 0.89/1.29    Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.89/1.29     ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.29    Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.89/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( 
% 0.89/1.29    'c_in'( Y, Z, X ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29    , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.89/1.29     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.29    'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.89/1.29    , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.89/1.29    , Y ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.89/1.29     ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.89/1.29    , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL( 
% 0.89/1.29    hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 0.89/1.29     ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.89/1.29    , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.89/1.29     ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.89/1.29    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.89/1.29     ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.89/1.29    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.89/1.29    , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.89/1.29     ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 
% 0.89/1.29    'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.89/1.29     [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.89/1.29     [ =( 'c_Hoare__Mirabelle_OMGT'( X ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), X, 
% 0.89/1.29    'c_Natural_Oevalc'( X ), 'tc_Com_Ostate' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    Y ), 'tc_bool' ) ) ), Y ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 0.89/1.29     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 
% 0.89/1.29    hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.89/1.29     [ =( 'c_Hoare__Mirabelle_OMGT'( 'v_c' ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), 
% 0.89/1.29    'v_c', 'c_Natural_Oevalc'( 'v_c' ), 'tc_Com_Ostate' ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Y ), Z ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.89/1.29     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 0.89/1.29    hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 0.89/1.29     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.89/1.29     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.89/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 0.89/1.29     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29     ) ), Y ) ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.89/1.29     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 0.89/1.29     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.29    , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.89/1.29    , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 
% 0.89/1.29    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.29    'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~( 
% 0.89/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ) ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~( 
% 0.89/1.29    hBOOL( hAPP( Z, T ) ) ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.89/1.29    , hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    'tc_Com_Ostate' ) ), 'c_Hoare__Mirabelle_OMGT'( 'v_c' ) ), 
% 0.89/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'tc_Com_Ostate' ) ],
% 0.89/1.29     [ 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.89/1.29    , hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    'tc_Com_Ostate' ) ), 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', 
% 0.89/1.29    'v_Q', 'tc_Com_Ostate' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 
% 0.89/1.29    'tc_Com_Ostate' ) ],
% 0.89/1.29     [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.29    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.89/1.29    , hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.29    'tc_Com_Ostate' ) ), 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', 
% 0.89/1.29    'v_Q', 'tc_Com_Ostate' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 
% 0.89/1.29    'tc_Com_Ostate' ) ) ],
% 0.89/1.29     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.29    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.29     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.29    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.29     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.29    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.29     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.29    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.89/1.29     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.29    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.29     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.29    'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.29     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.29    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.29     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.29    'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.29     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.89/1.29    Y ) ) ],
% 0.89/1.29     [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.29    ,
% 0.89/1.29     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.89/1.29     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.29     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.89/1.29     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.89/1.29  ] .
% 0.89/1.29  
% 0.89/1.29  
% 0.89/1.29  percentage equality = 0.325093, percentage horn = 0.909756
% 0.89/1.29  This is a problem with some equality
% 0.89/1.29  
% 0.89/1.29  
% 0.89/1.29  
% 0.89/1.29  Options Used:
% 0.89/1.29  
% 0.89/1.29  useres =            1
% 0.89/1.29  useparamod =        1
% 0.89/1.29  useeqrefl =         1
% 0.89/1.29  useeqfact =         1
% 0.89/1.29  usefactor =         1
% 0.89/1.29  usesimpsplitting =  0
% 0.89/1.29  usesimpdemod =      5
% 0.89/1.29  usesimpres =        3
% 0.89/1.29  
% 0.89/1.29  resimpinuse      =  1000
% 0.89/1.29  resimpclauses =     20000
% 0.89/1.29  substype =          eqrewr
% 0.89/1.29  backwardsubs =      1
% 0.89/1.29  selectoldest =      5
% 0.89/1.29  
% 0.89/1.29  litorderings [0] =  split
% 0.89/1.29  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.89/1.29  
% 0.89/1.29  termordering =      kbo
% 0.89/1.29  
% 0.89/1.29  litapriori =        0
% 0.89/1.29  termapriori =       1
% 0.89/1.29  litaposteriori =    0
% 0.89/1.29  termaposteriori =   0
% 0.89/1.29  demodaposteriori =  0
% 0.89/1.29  ordereqreflfact =   0
% 0.89/1.29  
% 0.89/1.29  litselect =         negord
% 0.89/1.29  
% 0.89/1.29  maxweight =         15
% 0.89/1.29  maxdepth =          30000
% 0.89/1.29  maxlength =         115
% 0.89/1.29  maxnrvars =         195
% 0.89/1.29  excuselevel =       1
% 0.89/1.29  increasemaxweight = 1
% 0.89/1.29  
% 0.89/1.29  maxselected =       10000000
% 0.89/1.29  maxnrclauses =      10000000
% 0.89/1.29  
% 0.89/1.29  showgenerated =    0
% 0.89/1.29  showkept =         0
% 0.89/1.29  showselected =     0
% 1.55/1.97  showdeleted =      0
% 1.55/1.97  showresimp =       1
% 1.55/1.97  showstatus =       2000
% 1.55/1.97  
% 1.55/1.97  prologoutput =     1
% 1.55/1.97  nrgoals =          5000000
% 1.55/1.97  totalproof =       1
% 1.55/1.97  
% 1.55/1.97  Symbols occurring in the translation:
% 1.55/1.97  
% 1.55/1.97  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.55/1.97  .  [1, 2]      (w:1, o:132, a:1, s:1, b:0), 
% 1.55/1.97  !  [4, 1]      (w:0, o:101, a:1, s:1, b:0), 
% 1.55/1.97  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.55/1.97  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.55/1.97  'c_in'  [42, 3]      (w:1, o:174, a:1, s:1, b:0), 
% 1.55/1.97  hBOOL  [43, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 1.55/1.97  'tc_bool'  [44, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 1.55/1.97  'tc_fun'  [45, 2]      (w:1, o:157, a:1, s:1, b:0), 
% 1.55/1.97  'c_Lattices_Olower__semilattice__class_Oinf'  [46, 1]      (w:1, o:107, a:1
% 1.55/1.97    , s:1, b:0), 
% 1.55/1.97  hAPP  [47, 2]      (w:1, o:158, a:1, s:1, b:0), 
% 1.55/1.97  'c_Fun_Oinj__on'  [53, 4]      (w:1, o:186, a:1, s:1, b:0), 
% 1.55/1.97  'c_lessequals'  [55, 3]      (w:1, o:175, a:1, s:1, b:0), 
% 1.55/1.97  'class_Lattices_Olower__semilattice'  [56, 1]      (w:1, o:108, a:1, s:1
% 1.55/1.97    , b:0), 
% 1.55/1.97  'c_Lattices_Oupper__semilattice__class_Osup'  [57, 1]      (w:1, o:109, a:1
% 1.55/1.97    , s:1, b:0), 
% 1.55/1.97  'class_Lattices_Oupper__semilattice'  [59, 1]      (w:1, o:110, a:1, s:1
% 1.55/1.97    , b:0), 
% 1.55/1.97  'class_Lattices_Olattice'  [63, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 1.55/1.97  'c_COMBC'  [67, 4]      (w:1, o:187, a:1, s:1, b:0), 
% 1.55/1.97  'c_Complete__Lattice_Ocomplete__lattice'  [73, 9]      (w:1, o:206, a:1, s:
% 1.55/1.97    1, b:0), 
% 1.55/1.97  'c_HOL_Ominus__class_Ominus'  [74, 3]      (w:1, o:176, a:1, s:1, b:0), 
% 1.55/1.97  'c_Com_Ocom_OSKIP'  [75, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 1.55/1.97  'c_Com_Ocom_OCond'  [79, 3]      (w:1, o:177, a:1, s:1, b:0), 
% 1.55/1.97  'c_Com_Ocom_OSemi'  [82, 2]      (w:1, o:160, a:1, s:1, b:0), 
% 1.55/1.97  'c_Natural_Oevalc'  [83, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 1.55/1.97  'class_OrderedGroup_Oab__group__add'  [90, 1]      (w:1, o:113, a:1, s:1
% 1.55/1.97    , b:0), 
% 1.55/1.97  'c_Com_Ocom_OWhile'  [93, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 1.55/1.97  'c_Com_Ocom_OBODY'  [97, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 1.55/1.97  'c_COMBS'  [102, 6]      (w:1, o:202, a:1, s:1, b:0), 
% 1.55/1.97  'c_COMBK'  [103, 3]      (w:1, o:178, a:1, s:1, b:0), 
% 1.55/1.97  'c_COMBI'  [104, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 1.55/1.97  'c_COMBB'  [105, 6]      (w:1, o:203, a:1, s:1, b:0), 
% 1.55/1.97  'c_Orderings_Obot__class_Obot'  [107, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 1.55/1.97    
% 1.55/1.97  'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'  [108, 4]      (w:1
% 1.55/1.97    , o:188, a:1, s:1, b:0), 
% 1.55/1.97  'c_Collect'  [109, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 1.55/1.97  'class_Lattices_Odistrib__lattice'  [110, 1]      (w:1, o:118, a:1, s:1, b:
% 1.55/1.97    0), 
% 1.55/1.97  't_a'  [111, 0]      (w:1, o:65, a:1, s:1, b:0), 
% 1.55/1.97  'v_x'  [113, 0]      (w:1, o:69, a:1, s:1, b:0), 
% 1.55/1.97  'c_Set_Oinsert'  [114, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 1.55/1.97  'c_Finite__Set_Ofold1'  [115, 3]      (w:1, o:179, a:1, s:1, b:0), 
% 1.55/1.97  'c_Finite__Set_Ofold1Set'  [116, 3]      (w:1, o:180, a:1, s:1, b:0), 
% 1.55/1.97  'c_The'  [117, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 1.55/1.97  'class_Complete__Lattice_Ocomplete__lattice'  [118, 1]      (w:1, o:120, a:
% 1.55/1.97    1, s:1, b:0), 
% 1.55/1.97  'c_Complete__Lattice_OInf__class_OInf'  [124, 2]      (w:1, o:164, a:1, s:1
% 1.55/1.97    , b:0), 
% 1.55/1.97  'c_Finite__Set_Ofun__left__comm__idem'  [125, 3]      (w:1, o:181, a:1, s:1
% 1.55/1.97    , b:0), 
% 1.55/1.97  'c_Complete__Lattice_OSup__class_OSup'  [126, 2]      (w:1, o:165, a:1, s:1
% 1.55/1.97    , b:0), 
% 1.55/1.97  'c_Fun_Ocomp'  [128, 5]      (w:1, o:201, a:1, s:1, b:0), 
% 1.55/1.97  'c_fequal'  [129, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 1.55/1.97  'class_Orderings_Oorder'  [131, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 1.55/1.97  'c_SetInterval_Oord__class_OatLeastAtMost'  [132, 3]      (w:1, o:182, a:1
% 1.55/1.97    , s:1, b:0), 
% 1.55/1.97  'class_HOL_Ominus'  [137, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 1.55/1.97  'class_HOL_Oord'  [139, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 1.55/1.97  'class_Lattices_Obounded__lattice'  [140, 1]      (w:1, o:125, a:1, s:1, b:
% 1.55/1.97    0), 
% 1.55/1.97  'class_Orderings_Obot'  [141, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 1.55/1.97  'c_Com_Obody'  [144, 1]      (w:1, o:114, a:1, s:1, b:0), 
% 1.55/1.97  'tc_Com_Ocom'  [145, 0]      (w:1, o:83, a:1, s:1, b:0), 
% 1.55/1.97  'c_Option_Othe'  [146, 2]      (w:1, o:167, a:1, s:1, b:0), 
% 1.55/1.97  'class_Orderings_Opreorder'  [148, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 1.55/1.97  'class_OrderedGroup_Opordered__ab__group__add'  [152, 1]      (w:1, o:128
% 1.55/1.97    , a:1, s:1, b:0), 
% 1.55/1.97  'class_Orderings_Olinorder'  [153, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 7.25/7.62  't_b'  [157, 0]      (w:1, o:86, a:1, s:1, b:0), 
% 7.25/7.62  'c_Hoare__Mirabelle_Otriple_Otriple'  [158, 4]      (w:1, o:189, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'c_Hoare__Mirabelle_Otriple_Otriple__case'  [159, 4]      (w:1, o:190, a:1
% 7.25/7.62    , s:1, b:0), 
% 7.25/7.62  'c_Hoare__Mirabelle_Otriple_Otriple__rec'  [162, 4]      (w:1, o:191, a:1
% 7.25/7.62    , s:1, b:0), 
% 7.25/7.62  'c_Hoare__Mirabelle_Ohoare__derivs'  [165, 3]      (w:1, o:183, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'tc_Hoare__Mirabelle_Otriple'  [167, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 7.25/7.62  'tc_Com_Ostate'  [169, 0]      (w:1, o:89, a:1, s:1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xescape__2'  [170, 4]      (w:1, o:193, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xescape__1'  [171, 4]      (w:1, o:192, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'v_P'  [172, 0]      (w:1, o:90, a:1, s:1, b:0), 
% 7.25/7.62  'v_Q'  [173, 0]      (w:1, o:91, a:1, s:1, b:0), 
% 7.25/7.62  'v_R'  [174, 0]      (w:1, o:92, a:1, s:1, b:0), 
% 7.25/7.62  't_c'  [175, 0]      (w:1, o:93, a:1, s:1, b:0), 
% 7.25/7.62  'c_Not'  [176, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 7.25/7.62  'c_Hoare__Mirabelle_Opeek__and'  [177, 3]      (w:1, o:184, a:1, s:1, b:0)
% 7.25/7.62    , 
% 7.25/7.62  'c_Hoare__Mirabelle_Ohoare__valids'  [178, 3]      (w:1, o:185, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'  [179, 2]      (w:1, o:166, a:1
% 7.25/7.62    , s:1, b:0), 
% 7.25/7.62  'c_Finite__Set_Olinorder__class_OMin'  [180, 2]      (w:1, o:168, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'c_Set_Ocontents'  [181, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 7.25/7.62  'c_Finite__Set_Olinorder__class_OMax'  [182, 2]      (w:1, o:169, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'  [184, 6]      (w:1
% 7.25/7.62    , o:204, a:1, s:1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'  [185, 4]      (w:1
% 7.25/7.62    , o:195, a:1, s:1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xconseq12__3'  [188, 4]      (w:1, o:198, a:1, s:
% 7.25/7.62    1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xconseq12__2'  [189, 4]      (w:1, o:197, a:1, s:
% 7.25/7.62    1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'  [190, 6]      (w:
% 7.25/7.62    1, o:205, a:1, s:1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'  [191, 4]      (w:
% 7.25/7.62    1, o:200, a:1, s:1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'  [192, 4]      (w:
% 7.25/7.62    1, o:199, a:1, s:1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'  [193, 4]      (w:1
% 7.25/7.62    , o:194, a:1, s:1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xconseq2__1'  [194, 2]      (w:1, o:172, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xconseq2__2'  [195, 2]      (w:1, o:173, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xconseq12__1'  [196, 4]      (w:1, o:196, a:1, s:
% 7.25/7.62    1, b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xconseq1__1'  [197, 2]      (w:1, o:170, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'v_sko__Hoare__Mirabelle__Xconseq1__2'  [198, 2]      (w:1, o:171, a:1, s:1
% 7.25/7.62    , b:0), 
% 7.25/7.62  'c_Hoare__Mirabelle_OMGT'  [199, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 7.25/7.62  'v_c'  [200, 0]      (w:1, o:97, a:1, s:1, b:0).
% 7.25/7.62  
% 7.25/7.62  
% 7.25/7.62  Starting Search:
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  
% 7.25/7.62  Intermediate Status:
% 7.25/7.62  Generated:    7485
% 7.25/7.62  Kept:         2036
% 7.25/7.62  Inuse:        174
% 7.25/7.62  Deleted:      2
% 7.25/7.62  Deletedinuse: 0
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  
% 7.25/7.62  Intermediate Status:
% 7.25/7.62  Generated:    18366
% 7.25/7.62  Kept:         4060
% 7.25/7.62  Inuse:        248
% 7.25/7.62  Deleted:      7
% 7.25/7.62  Deletedinuse: 2
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  
% 7.25/7.62  Intermediate Status:
% 7.25/7.62  Generated:    27545
% 7.25/7.62  Kept:         6177
% 7.25/7.62  Inuse:        295
% 7.25/7.62  Deleted:      10
% 7.25/7.62  Deletedinuse: 4
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  
% 7.25/7.62  Intermediate Status:
% 7.25/7.62  Generated:    40594
% 7.25/7.62  Kept:         8463
% 7.25/7.62  Inuse:        339
% 7.25/7.62  Deleted:      13
% 7.25/7.62  Deletedinuse: 6
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  
% 7.25/7.62  Intermediate Status:
% 7.25/7.62  Generated:    52206
% 7.25/7.62  Kept:         10495
% 7.25/7.62  Inuse:        381
% 7.25/7.62  Deleted:      15
% 7.25/7.62  Deletedinuse: 7
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  
% 7.25/7.62  Intermediate Status:
% 7.25/7.62  Generated:    63681
% 7.25/7.62  Kept:         12572
% 7.25/7.62  Inuse:        432
% 7.25/7.62  Deleted:      17
% 7.25/7.62  Deletedinuse: 8
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  
% 7.25/7.62  Intermediate Status:
% 7.25/7.62  Generated:    84157
% 7.25/7.62  Kept:         14577
% 7.25/7.62  Inuse:        489
% 7.25/7.62  Deleted:      19
% 7.25/7.62  Deletedinuse: 8
% 7.25/7.62  
% 7.25/7.62  Resimplifying inuse:
% 7.25/7.62  Done
% 7.25/7.62  
% 7.25/7.62  
% 7.25/7.62  Intermediate Status:
% 7.25/7.62  Generated:    96421
% 7.25/7.62  Kept:         16628
% 7.25/7.62  Inuse:        524
% 7.25/7.62  Deleted:      20
% 85.52/85.95  Deletedinuse: 8
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    115641
% 85.52/85.95  Kept:         20156
% 85.52/85.95  Inuse:        587
% 85.52/85.95  Deleted:      20
% 85.52/85.95  Deletedinuse: 8
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying clauses:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    127211
% 85.52/85.95  Kept:         22162
% 85.52/85.95  Inuse:        638
% 85.52/85.95  Deleted:      299
% 85.52/85.95  Deletedinuse: 10
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    138293
% 85.52/85.95  Kept:         25110
% 85.52/85.95  Inuse:        659
% 85.52/85.95  Deleted:      299
% 85.52/85.95  Deletedinuse: 10
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    153004
% 85.52/85.95  Kept:         27739
% 85.52/85.95  Inuse:        694
% 85.52/85.95  Deleted:      303
% 85.52/85.95  Deletedinuse: 14
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    165441
% 85.52/85.95  Kept:         30115
% 85.52/85.95  Inuse:        704
% 85.52/85.95  Deleted:      303
% 85.52/85.95  Deletedinuse: 14
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    178635
% 85.52/85.95  Kept:         32174
% 85.52/85.95  Inuse:        744
% 85.52/85.95  Deleted:      303
% 85.52/85.95  Deletedinuse: 14
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    189952
% 85.52/85.95  Kept:         34222
% 85.52/85.95  Inuse:        759
% 85.52/85.95  Deleted:      303
% 85.52/85.95  Deletedinuse: 14
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    197594
% 85.52/85.95  Kept:         36294
% 85.52/85.95  Inuse:        779
% 85.52/85.95  Deleted:      304
% 85.52/85.95  Deletedinuse: 15
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    215743
% 85.52/85.95  Kept:         38734
% 85.52/85.95  Inuse:        789
% 85.52/85.95  Deleted:      304
% 85.52/85.95  Deletedinuse: 15
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying clauses:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    240241
% 85.52/85.95  Kept:         40751
% 85.52/85.95  Inuse:        819
% 85.52/85.95  Deleted:      704
% 85.52/85.95  Deletedinuse: 16
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    250113
% 85.52/85.95  Kept:         42755
% 85.52/85.95  Inuse:        849
% 85.52/85.95  Deleted:      704
% 85.52/85.95  Deletedinuse: 16
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    265451
% 85.52/85.95  Kept:         44765
% 85.52/85.95  Inuse:        898
% 85.52/85.95  Deleted:      707
% 85.52/85.95  Deletedinuse: 18
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    277794
% 85.52/85.95  Kept:         46769
% 85.52/85.95  Inuse:        942
% 85.52/85.95  Deleted:      707
% 85.52/85.95  Deletedinuse: 18
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    298084
% 85.52/85.95  Kept:         50513
% 85.52/85.95  Inuse:        973
% 85.52/85.95  Deleted:      707
% 85.52/85.95  Deletedinuse: 18
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    310406
% 85.52/85.95  Kept:         52646
% 85.52/85.95  Inuse:        978
% 85.52/85.95  Deleted:      858
% 85.52/85.95  Deletedinuse: 169
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    319018
% 85.52/85.95  Kept:         54796
% 85.52/85.95  Inuse:        1013
% 85.52/85.95  Deleted:      869
% 85.52/85.95  Deletedinuse: 180
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    329123
% 85.52/85.95  Kept:         56935
% 85.52/85.95  Inuse:        1048
% 85.52/85.95  Deleted:      869
% 85.52/85.95  Deletedinuse: 180
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    341044
% 85.52/85.95  Kept:         59128
% 85.52/85.95  Inuse:        1076
% 85.52/85.95  Deleted:      871
% 85.52/85.95  Deletedinuse: 180
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying clauses:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    351327
% 85.52/85.95  Kept:         61430
% 85.52/85.95  Inuse:        1104
% 85.52/85.95  Deleted:      5348
% 85.52/85.95  Deletedinuse: 180
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    371553
% 85.52/85.95  Kept:         64367
% 85.52/85.95  Inuse:        1134
% 85.52/85.95  Deleted:      5360
% 85.52/85.95  Deletedinuse: 182
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    387619
% 85.52/85.95  Kept:         66555
% 85.52/85.95  Inuse:        1156
% 85.52/85.95  Deleted:      5360
% 85.52/85.95  Deletedinuse: 182
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    415553
% 85.52/85.95  Kept:         69507
% 85.52/85.95  Inuse:        1187
% 85.52/85.95  Deleted:      5406
% 85.52/85.95  Deletedinuse: 186
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    437753
% 85.52/85.95  Kept:         72009
% 85.52/85.95  Inuse:        1193
% 85.52/85.95  Deleted:      5411
% 85.52/85.95  Deletedinuse: 187
% 85.52/85.95  
% 85.52/85.95  Resimplifying inuse:
% 85.52/85.95  Done
% 85.52/85.95  
% 85.52/85.95  
% 85.52/85.95  Intermediate Status:
% 85.52/85.95  Generated:    448488
% 85.52/85.95  Kept:         74503
% 85.52/85.95  Inuse:        1194
% 85.52/85.95  Deleted:      5415
% 85.52/85.95  Deletedinuse: 187
% 85.52/85.95  
% 300.10/300.49  Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------