TSTP Solution File: SWV899-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV899-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:29:06 EDT 2022

% Result   : Timeout 294.50s 295.00s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV899-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n015.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 : Wed Jun 15 19:39:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.87/1.28  *** allocated 10000 integers for termspace/termends
% 0.87/1.28  *** allocated 10000 integers for clauses
% 0.87/1.28  *** allocated 10000 integers for justifications
% 0.87/1.28  *** allocated 15000 integers for termspace/termends
% 0.87/1.28  Bliksem 1.12
% 0.87/1.28  
% 0.87/1.28  
% 0.87/1.28  Automatic Strategy Selection
% 0.87/1.28  
% 0.87/1.28  Clauses:
% 0.87/1.28  [
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), Y, Z ) ],
% 0.87/1.28     [ 'c_Com_OWT'( 'c_Com_Ocom_OAss'( X, Y ) ) ],
% 0.87/1.28     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~( 
% 0.87/1.28    'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.28     ],
% 0.87/1.28     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~( 
% 0.87/1.28    'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.87/1.28     ],
% 0.87/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.28    , T, X ) ) ), =( Z, T ) ],
% 0.87/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28    , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.28     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.28    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.87/1.28     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T ), ~( 
% 0.87/1.28    'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), U, T ) ), ~( 
% 0.87/1.28    'c_Natural_Oevalc'( Y, Z, U ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.87/1.28     ) ) ],
% 0.87/1.28     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.87/1.28     ) ) ],
% 0.87/1.28     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U ), ~( 
% 0.87/1.28    'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~( 
% 0.87/1.28    'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.87/1.28     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28    , Y ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), 
% 0.87/1.28    'c_Suc'( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.28    Y, 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.87/1.28    'c_Com_Ocom_OAss'( V2, V3 ), V4 ), hAPP( hAPP( Y, V2 ), V3 ) ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.87/1.28    'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.87/1.28    'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.87/1.28     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.87/1.28    , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 0.87/1.28    , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~( 
% 0.87/1.28    'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ), 
% 0.87/1.28    'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 0.87/1.28     [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.87/1.28    , W ) ) ) ],
% 0.87/1.28     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'( 
% 0.87/1.28    'c_Finite__Set_Ocard'( Y, Z ) ) ), 'c_in'( X, Y, Z ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.28     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.28     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.87/1.28    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.28     ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( 
% 0.87/1.28    Y, Z, X ) ) ],
% 0.87/1.28     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.87/1.28    'c_Com_Ocom_OCall'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( V1, V2 ), V3 )
% 0.87/1.28    , V4 ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.87/1.28     [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 'c_in'( hAPP( 
% 0.87/1.28    X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.87/1.28    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~( 
% 0.87/1.28    'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'( 
% 0.87/1.28    'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( 
% 0.87/1.28    X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) )
% 0.87/1.28     ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), X ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~( 
% 0.87/1.28    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.87/1.28    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28     ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28    , X ) ],
% 0.87/1.28     [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'( 
% 0.87/1.28    Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 
% 0.87/1.28    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.28    , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ), 
% 0.87/1.28    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28     ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.28    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.28    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z ), hBOOL( 
% 0.87/1.28    hAPP( X, Z ) ) ],
% 0.87/1.28     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.87/1.28    'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28     ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ],
% 0.87/1.28     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), 'c_Set_Oinsert'( Y
% 0.87/1.28    , U, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_Map_Odom'( X, T, Z ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.87/1.28    , =( Z, W ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.87/1.28    , =( Y, U ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.87/1.28    , =( X, T ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.28     [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) )
% 0.87/1.28     ],
% 0.87/1.28     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, Z ), hBOOL( hAPP( 
% 0.87/1.28    X, Z ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.87/1.28    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.87/1.28    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T ) ) ],
% 0.87/1.28     [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.87/1.28    , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.87/1.28    , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.87/1.28     ],
% 0.87/1.28     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.87/1.28    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Y, 
% 0.87/1.28    'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.28    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z, 
% 0.87/1.28    't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.28     ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a', 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~( 
% 0.87/1.28    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.87/1.28    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W, 
% 0.87/1.28    'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.28    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z, 
% 0.87/1.28    't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.28     ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.28    , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a', 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), ~( 
% 0.87/1.28    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.87/1.28    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( Y, 
% 0.87/1.28    'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.87/1.28    , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, 
% 0.87/1.28    V0, Z ) ) ), hAPP( T, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X
% 0.87/1.28    , Y, W, T, V0, Z ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ), 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( U, 't_a' ) ) ],
% 0.87/1.28     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.87/1.28    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Y, 
% 0.87/1.28    'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.28    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z, 
% 0.87/1.28    't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.28     ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a', 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~( 
% 0.87/1.28    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.87/1.28    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W, 
% 0.87/1.28    'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.28    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z, 
% 0.87/1.28    't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.28     ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.28    , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a', 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), 
% 0.87/1.28    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.87/1.28    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( W, 
% 0.87/1.28    'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.87/1.28    , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, 
% 0.87/1.28    V0, Z ) ) ), hAPP( V0, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( 
% 0.87/1.28    X, Y, W, T, V0, Z ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ), 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( U, 't_a' ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~( 
% 0.87/1.28    'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~( 
% 0.87/1.28    'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~( 
% 0.87/1.28    'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.87/1.28     ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~( 'c_in'( Y, T, U ) ) ],
% 0.87/1.28     [ 'c_Com_OWT'( 'c_Com_Ocom_OCall'( X, Y, Z ) ), ~( 'c_Com_OWT'( hAPP( 
% 0.87/1.28    'c_Com_Ocom_OBODY', Y ) ) ) ],
% 0.87/1.28     [ 'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ), ~( 'c_Com_OWT'( 
% 0.87/1.28    'c_Com_Ocom_OCall'( Y, X, Z ) ) ) ],
% 0.87/1.28     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( 
% 0.87/1.28    'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U, T )
% 0.87/1.28     ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatMost'( Y, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28    , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), X ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28     ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.87/1.28    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCall'( Z, T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.87/1.28    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.87/1.28    Y, Z ) ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.28    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.87/1.28    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.87/1.28     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.28    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~( 
% 0.87/1.28    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T, 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.28     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.28     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.87/1.28     ) ],
% 0.87/1.28     [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.87/1.28    , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.87/1.28    , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), 
% 0.87/1.28    ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T, U ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.87/1.28     ) ) ],
% 0.87/1.28     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.87/1.28    'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.87/1.28    , T ) ],
% 0.87/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ), 
% 0.87/1.28    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28     ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.87/1.28    , T ) ],
% 0.87/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.28    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.87/1.28    , Z ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.87/1.28    'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.87/1.28    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.28    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.87/1.28     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.28    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28     ) ],
% 0.87/1.28     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.28    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28     ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28     [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.87/1.28    'c_Com_Ocom_OSemi'( V2, V3 ), V4 ), hAPP( hAPP( T, V2 ), V3 ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.87/1.28    , Z, U ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.87/1.28    , Z, U ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.87/1.28    , Z, U ) ) ],
% 0.87/1.28     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U, 
% 0.87/1.28    T ), U ) ) ],
% 0.87/1.28     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U, 
% 0.87/1.28    T ), U ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.87/1.28    =( X, Z ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.87/1.28    =( Y, T ) ],
% 0.87/1.28     [ 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( Y, X ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.87/1.28     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.28     [ 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( Y, Z, X ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28     ) ) ) ],
% 0.87/1.28     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.28    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.87/1.28     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCall'( Z, T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.28     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( X, 'c_Suc'( 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y
% 0.87/1.28    , X, Z, T ) ) ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', Y ), Z
% 0.87/1.28    , X, T ) ) ],
% 0.87/1.28     [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.28    T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( 
% 0.87/1.28    Y, Z, T ), T, U ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.87/1.28    'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.87/1.28    'c_in'( X, T, Z ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.87/1.28    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.28    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z, T ) ) ],
% 0.87/1.28     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z, T ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ), 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.87/1.28    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.87/1.28    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.87/1.28    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.87/1.28    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.87/1.28     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.87/1.28     [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.87/1.28    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), hAPP( Z, T ) ), hAPP( 
% 0.87/1.28    'c_Com_Ocom_OBODY', T ) ), hAPP( U, T ) ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 'c_in'( T, W, 
% 0.87/1.28    'tc_Com_Opname' ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'( 
% 0.87/1.28    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.28     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.28    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.87/1.28    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.87/1.28    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.28    Y ) ), W, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'( 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.87/1.28    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.28     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.28    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28    , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 
% 0.87/1.28    'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 
% 0.87/1.28    'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 
% 0.87/1.28    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U
% 0.87/1.28    , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.28    , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W, 'tc_Com_Opname', 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.87/1.28    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    T, X ), Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.87/1.28    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.87/1.28    Y, X ), Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~( 
% 0.87/1.28    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z, T ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.87/1.28    , T ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.87/1.28    , Z ) ],
% 0.87/1.28     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'( 
% 0.87/1.28    X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ), Y, X ), 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.87/1.28    X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28     ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28     ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.28    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.87/1.28    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ), 
% 0.87/1.28    T ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.28    , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~( 
% 0.87/1.28    'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.87/1.28    'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.87/1.28    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.87/1.28     [ 'c_Map_Omap__le'( X, X, Y, Z ) ],
% 0.87/1.28     [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U, Y, Z, T ) ), 
% 0.87/1.28    ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.87/1.28    X, T ), Y ) ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 0.87/1.28    ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.87/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28    , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ), Y, X ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.87/1.28    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28     ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28     ) ],
% 0.87/1.28     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_in'( Z, 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeast'( Y, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y, 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ), ~( 'c_lessequals'( Z, 
% 0.87/1.28    Y, X ) ) ],
% 0.87/1.28     [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( 'c_in'( Y, 'c_Map_Odom'( X, T, U )
% 0.87/1.28    , T ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ],
% 0.87/1.28     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.87/1.28    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.87/1.28     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.87/1.28    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T, U ) ) ],
% 0.87/1.28     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28    , Y ) ],
% 0.87/1.28     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.87/1.28     ) ) ],
% 0.87/1.28     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.87/1.28     ) ) ],
% 0.87/1.28     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.87/1.28     ) ) ), =( X, Z ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), 'c_in'( Y, 
% 0.87/1.28    'c_Map_Odom'( X, U, T ), U ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z, U
% 0.87/1.28     ), U ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.87/1.28     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.87/1.28    , Z, T ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.87/1.28     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.28     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =( 
% 0.87/1.28    Y, Z ) ],
% 0.87/1.28     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.87/1.28     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.87/1.28     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.87/1.28    'c_Com_Ocom_OSKIP', V2 ), X ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.28    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 
% 0.87/1.28    'c_Finite__Set_Ocard'( X, Z ) ), 'c_in'( Y, X, Z ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) )
% 0.87/1.28     ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.87/1.28    , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( 'c_in'( Y, 
% 0.87/1.28    'c_Map_Odom'( X, T, Z ), T ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ), =( hAPP( Y, X ), 
% 0.87/1.28    'c_Option_Ooption_ONone'( T ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.28     ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.87/1.28    X, 'tc_bool' ) ), Y ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), X ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 0.87/1.28    ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), 
% 0.87/1.28    ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.87/1.28    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSemi'( 
% 0.87/1.28    T, U ) ), W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.87/1.28    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.87/1.28    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.28    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ), ~( 
% 0.87/1.28    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.87/1.28    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.28    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.87/1.28     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_in'( Y, 
% 0.87/1.28    'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y, 
% 0.87/1.28    'c_SetInterval_Oord__class_OatMost'( Z, X ), X ), ~( 'c_lessequals'( Y, Z
% 0.87/1.28    , X ) ) ],
% 0.87/1.28     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28     ) ), Y ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OLocal'( X, Y, Z ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.28     [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.87/1.28    , Y, Z, T ) ) ],
% 0.87/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28     ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.87/1.28    X, 'tc_bool' ) ), Y ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), X ) ],
% 0.87/1.28     [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.28     ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28     ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.87/1.28    'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.87/1.28     [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.28     ), Y ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.87/1.28    , Z ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'( 
% 0.87/1.28    X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.87/1.28    'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.87/1.28    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    T, X ), Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.87/1.28    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.87/1.28    Y, X ), Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.87/1.28    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.87/1.28    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.87/1.28    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.87/1.28    'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 0.87/1.28    'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.87/1.28    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.87/1.28    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.87/1.28    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.87/1.28    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    Z, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.87/1.28    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    T, Z, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.87/1.28    'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.87/1.28    'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.87/1.28    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    Z, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.87/1.28    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    T, Z, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.87/1.28    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 'c_in'( Y, Z, X )
% 0.87/1.28     ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.87/1.28    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( 'c_in'( Z, Y, X
% 0.87/1.28     ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.28     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.87/1.28    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), Y ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), Y ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.28     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.28     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), X ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.28    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), 
% 0.87/1.28    ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.28     ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 0.87/1.28     ) ],
% 0.87/1.28     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 0.87/1.28    'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.28     [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 0.87/1.28    'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), 
% 0.87/1.28    'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.87/1.28    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.28    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.87/1.28    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.87/1.28    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.87/1.28    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.28    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28     ), ~( 'c_in'( X, T, Z ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.87/1.28    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.87/1.28    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.28    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.87/1.28    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.87/1.28    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.28    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.87/1.28    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.28    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.28    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.28     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.87/1.28    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.28    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28     ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.28     ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.28     ],
% 0.87/1.28     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28     ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.87/1.28    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.28     ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.28     ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.87/1.28    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.28    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.87/1.28    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.87/1.28    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.87/1.28    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.28    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U, 
% 0.87/1.28    Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.87/1.28    , 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.28    , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.28    , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.87/1.28    , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.87/1.28    , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), 
% 0.87/1.28    ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( 
% 0.87/1.28    Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.87/1.28    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.87/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.87/1.28    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.87/1.28    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.87/1.28     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.87/1.28    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.87/1.28     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.87/1.28    'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.28    , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.28    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.87/1.28     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.87/1.28    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.87/1.28     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.28    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.28    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28     ) ), Z, X ) ) ],
% 0.87/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.87/1.28    , U ), U ) ],
% 0.87/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.87/1.28    , U ), U ) ],
% 0.87/1.28     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.87/1.28    , Z, T ) ) ],
% 0.87/1.28     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.87/1.28    , Z, T ) ) ],
% 0.87/1.28     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCall'( Z, T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ],
% 0.87/1.28     [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'( 
% 0.87/1.28    Z, T, Y ) ) ],
% 0.87/1.28     [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~( 'c_Map_Omap__le'( X
% 0.87/1.28    , Y, Z, T ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.87/1.28     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.28    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.28    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.28    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.87/1.28     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.87/1.28    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~( 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.87/1.28     ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~( 
% 0.87/1.28    'c_Hoare__Mirabelle_Otriple__valid'( W, hAPP( hAPP( hAPP( 
% 0.87/1.28    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), T ), X ), 't_a' ) )
% 0.87/1.28     ],
% 0.87/1.28     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.87/1.28    'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_in'( X, Y, Z ) ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeast'( Y, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OAss'( X, Y ) ) ) ],
% 0.87/1.28     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.87/1.28    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 0.87/1.28    U ), W ), V0 ) ) ), =( Y, U ) ],
% 0.87/1.28     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.87/1.28    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 0.87/1.28    U ), W ), V0 ) ) ), =( Z, W ) ],
% 0.87/1.28     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.87/1.28    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 0.87/1.28    U ), W ), V0 ) ) ), =( T, V0 ) ],
% 0.87/1.28     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.28    , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.28    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.87/1.28     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.87/1.28    'c_Com_Ocom_OLocal'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( Z, V2 ), V3 )
% 0.87/1.28    , V4 ) ) ],
% 0.87/1.28     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.87/1.28    'c_Com_Ocom_OWhile'( V2, V3 ), V4 ), hAPP( hAPP( W, V2 ), V3 ) ) ],
% 0.87/1.28     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.28     ), Y ) ) ],
% 0.87/1.28     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.28     ), Y ) ) ],
% 0.87/1.28     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.28     ), Y ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.28    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.87/1.28    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.87/1.28    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, 
% 0.87/1.28    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), T ), U, T ), U ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( Y, 
% 0.87/1.28    T ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( X, 
% 0.87/1.28    Z ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.28     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.87/1.28    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSKIP'
% 0.87/1.28     ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.87/1.28    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.87/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.87/1.28     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.87/1.28    , T, Z ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.87/1.28     ), =( Z, W ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.87/1.28     ), =( Y, U ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.87/1.28     ), =( X, T ) ],
% 0.87/1.28     [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~( 
% 0.87/1.28    'c_Com_OWT'( X ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~( 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.87/1.28    , 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.28    'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.87/1.28    , 'tc_bool' ) ), T ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCall'( X, Y, Z ) ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.87/1.28    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.87/1.28     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevalc'( 
% 0.87/1.28    'c_Com_Ocom_OWhile'( X, T ), Y, Z ) ) ],
% 0.87/1.28     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.87/1.28     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.87/1.28     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.87/1.28    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.87/1.28    , Z ) ) ],
% 0.87/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.87/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.87/1.28    'tc_bool' ) ), X ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'( 
% 0.87/1.28    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ), =( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.28     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.87/1.28    ,
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.87/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    T, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.87/1.28    'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.87/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.87/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.87/1.28    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X, 
% 0.87/1.28    'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.87/1.28    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.87/1.28    'c_SetInterval_Oord__class_OatMost'( Y, X ), 
% 0.87/1.28    'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'( 
% 0.87/1.28    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ), =( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.87/1.28    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.28    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.87/1.28     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.28    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.28    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.87/1.28    Z, 'tc_bool' ) ) ) ],
% 0.87/1.28     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), 
% 0.87/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, 
% 0.87/1.28    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.29    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.29    T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'( 
% 0.87/1.29    'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.87/1.29    X, T, U ), Z ) ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.87/1.29    hAPP( X, U ) ) ) ) ],
% 0.87/1.29     [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.87/1.29    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( X, Z ) ), ~( 'c_in'( Y, X, Z ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z, 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.87/1.29    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.87/1.29    , T ) ) ],
% 0.87/1.29     [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.87/1.29    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.87/1.29    , T ) ) ],
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 0.87/1.29    'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.87/1.29    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.87/1.29    hAPP( X, T ) ) ) ],
% 0.87/1.29     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29     ) ],
% 0.87/1.29     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.87/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29    , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 0.87/1.29    , X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.87/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29     ) ],
% 0.87/1.29     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.87/1.29    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.87/1.29     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OAss'( Y, Z ) ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OLocal'( Y, Z, T ) )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), hAPP( 'c_Com_Ocom_OBODY', T ) ) )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), hAPP( 'c_Com_Ocom_OBODY', T ) )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OCall'( Y, Z, T ) ) )
% 0.87/1.29     ],
% 0.87/1.29     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, hAPP( 
% 0.87/1.29    'c_Com_Ocom_OBODY', V2 ), V3 ), hAPP( V0, V2 ) ) ],
% 0.87/1.29     [ ~( =( 'c_Com_Ocom_OSKIP', hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.87/1.29    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 
% 0.87/1.29    'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.29    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.29    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.87/1.29    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.87/1.29    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__valids'( 
% 0.87/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'( 
% 0.87/1.29    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.29    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.29    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.87/1.29    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.87/1.29    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'( 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.87/1.29    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.29    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.29    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29    , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 
% 0.87/1.29    'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 
% 0.87/1.29    'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 
% 0.87/1.29    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.87/1.29    , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.29    , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname', 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y, 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.87/1.29     [ 'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ), =( hAPP( 'c_Com_Obody', 
% 0.87/1.29    X ), 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.87/1.29    , T ) ), U ), Y ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( 
% 0.87/1.29    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 
% 0.87/1.29    'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y )
% 0.87/1.29     ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'( 
% 0.87/1.29    'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.87/1.29    , T ) ), U ), Y ) ) ],
% 0.87/1.29     [ =( hAPP( 'c_Option_Othe'( X ), 'c_Option_Ooption_OSome'( Y, X ) ), Y )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.87/1.29    ~( 'c_Com_OWT'( Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 
% 0.87/1.29    'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP( 
% 0.87/1.29    'c_Com_Ocom_OBODY', 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ) ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.87/1.29     [ ~( =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'( Y, 
% 0.87/1.29    'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ],
% 0.87/1.29     [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), 
% 0.87/1.29    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.87/1.29    ~( 'c_Com_OWT'( Y ) ), 'c_in'( 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( 
% 0.87/1.29    X ), 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 
% 0.87/1.29    'tc_Com_Opname' ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), 
% 0.87/1.29    ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.87/1.29    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 
% 0.87/1.29    'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.87/1.29    , T ) ), U ), X, 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Set_Oinsert'( 
% 0.87/1.29    hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 
% 0.87/1.29    'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.87/1.29    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 
% 0.87/1.29    'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'( 
% 0.87/1.29    'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.87/1.29    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 
% 0.87/1.29    'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.29    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.29    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.87/1.29    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.87/1.29    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 0.87/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'( 
% 0.87/1.29    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.29    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.29    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.87/1.29    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.87/1.29    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'( 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.87/1.29    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.87/1.29    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.87/1.29    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29    , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 
% 0.87/1.29    'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 
% 0.87/1.29    'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 
% 0.87/1.29    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.87/1.29    , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.29    , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname', 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.29     [ 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.87/1.29    'c_Com_Obody', X ) ), Y, 
% 0.87/1.29    'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( X, Z, Y, T ), T ), 
% 0.87/1.29    ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z, T ) ) ],
% 0.87/1.29     [ 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, 'c_Suc'( Z ), T
% 0.87/1.29     ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.87/1.29    'c_Com_Obody', X ) ), Y, Z, T ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.87/1.29    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29    , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', X ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~( 'c_Com_OWT'( X ) ), ~( 
% 0.87/1.29    'c_Com_OWT__bodies' ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.87/1.29    ~( 'c_lessequals'( hAPP( Y, 
% 0.87/1.29    'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 0.87/1.29    , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.87/1.29    ~( 'c_lessequals'( hAPP( Y, 
% 0.87/1.29    'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ), 
% 0.87/1.29    hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 0.87/1.29     ) ), X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeast'( Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29    , ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OatMost'( Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ), 
% 0.87/1.29    ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 0.87/1.29     ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.29     ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.29     ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29    , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29     ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.87/1.29    'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.87/1.29    'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ), 
% 0.87/1.29    'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), 
% 0.87/1.29    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), 
% 0.87/1.29    'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'( 
% 0.87/1.29    'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ), 
% 0.87/1.29    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oimage'( X, 
% 0.87/1.29    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.87/1.29    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.87/1.29    'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 
% 0.87/1.29    'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.87/1.29     ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( 
% 0.87/1.29    X, Y, Z, T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 
% 0.87/1.29    'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.87/1.29     ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.87/1.29    , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.87/1.29    'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.87/1.29     [ =( X, 'c_Set_Oimage'( Y, 
% 0.87/1.29    'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( Z, X, Y, T, U ), T
% 0.87/1.29    , U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U
% 0.87/1.29    , 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Map_Omap__of'( X, Y, Z ), Y
% 0.87/1.29    , Z ), Y ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Map_Odom'( X, Y, Z ), 'c_Map_Odom'( T, Y, Z ), 
% 0.87/1.29    'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_Map_Omap__le'( X, T, Y, Z ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), 
% 0.87/1.29    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), T ), 
% 0.87/1.29    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y, 
% 0.87/1.29    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 0.87/1.29     ],
% 0.87/1.29     [ 'c_lessequals'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.87/1.29    , T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.87/1.29     ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.87/1.29    , T, U ), T ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X, T, U ), 
% 0.87/1.29    'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.87/1.29     [ =( X, 'c_Set_Oimage'( Y, 
% 0.87/1.29    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 0.87/1.29    , T, U ), T, U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 
% 0.87/1.29    'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, U ) ) ],
% 0.87/1.29     [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( 
% 0.87/1.29    X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.87/1.29    , Z ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ), 
% 0.87/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ), X, 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'c_Set_Oinsert'( hAPP( 
% 0.87/1.29    'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.87/1.29    'c_Com_Obody', Y ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 0.87/1.29    , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 0.87/1.29     [ 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z ), ~( 
% 0.87/1.29    'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.87/1.29    'c_Com_Obody', X ) ), Y, Z ) ) ],
% 0.87/1.29     [ 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.87/1.29    'c_Com_Obody', X ) ), Y, Z ), ~( 'c_Natural_Oevalc'( hAPP( 
% 0.87/1.29    'c_Com_Ocom_OBODY', X ), Y, Z ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBB'( 
% 0.87/1.29    'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y, 
% 0.87/1.29    'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 0.87/1.29    'tc_Com_Ostate' ), ~( 'c_Finite__Set_Ofinite'( Y, 'tc_Com_Opname' ) ), 
% 0.87/1.29    ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 0.87/1.29    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'( 
% 0.87/1.29    'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y, 
% 0.87/1.29    'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 0.87/1.29    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29    , 'c_Set_Oimage'( 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 
% 0.87/1.29    'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'( 
% 0.87/1.29    'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom', 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y, 
% 0.87/1.29    'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 0.87/1.29    'tc_Com_Ostate' ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.87/1.29    'c_lessequals'( Z, Y, X ) ],
% 0.87/1.29     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.87/1.29    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.87/1.29    'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.87/1.29    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.87/1.29    , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.87/1.29     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.87/1.29    , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.29     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.87/1.29    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T, 
% 0.87/1.29    X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.87/1.29    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.87/1.29    'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.87/1.29    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.29     [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), 
% 0.87/1.29    'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 0.87/1.29    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~( 
% 0.87/1.29    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.29    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.29    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.29    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.87/1.29    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( 
% 0.87/1.29    Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.87/1.29    , U ) ) ],
% 0.87/1.29     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y, 
% 0.87/1.29    X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.87/1.29     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 0.87/1.29    , =( X, Y ) ],
% 0.87/1.29     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.87/1.29    Y, X ) ],
% 0.87/1.29     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.87/1.29    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.87/1.29     [ 'c_lessequals'( 'v_F', 'c_Set_Oimage'( 'c_COMBB'( 
% 0.87/1.29    'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 
% 0.87/1.29    'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 
% 0.87/1.29    'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody', 
% 0.87/1.29    'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname', 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_fun'( 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ],
% 0.87/1.29     [ 'c_Finite__Set_Ofinite'( 'v_F', 'tc_Hoare__Mirabelle_Otriple'( 
% 0.87/1.29    'tc_Com_Ostate' ) ) ],
% 0.87/1.29     [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.87/1.29     [ 'c_Com_OWT__bodies' ],
% 0.87/1.29     [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oimage'( 'c_COMBB'( 
% 0.87/1.29    'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 
% 0.87/1.29    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 
% 0.87/1.29    'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 
% 0.87/1.29    'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 0.87/1.29    'v_F', 'tc_Com_Ostate' ) ) ],
% 0.87/1.29     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.29    'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.29     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.29    'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.29     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.29    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.87/1.29     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.29    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.87/1.29     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.29    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.87/1.29    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.29     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.29    'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.29     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.29    'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.29     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.87/1.29    'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.29     [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'( 
% 0.87/1.29    Y ) ) ],
% 0.87/1.29     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.87/1.29    Y ) ) ],
% 0.87/1.29     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.87/1.29     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.87/1.29     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.87/1.29     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.29     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.29     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.87/1.29     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.29     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.87/1.29     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.87/1.29     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.87/1.29     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~( 
% 0.87/1.29    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.29     [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.87/1.29     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.87/1.29    ,
% 0.87/1.29     [ 'c_fequal'( X, X, Y ) ],
% 0.87/1.29     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.87/1.29  ] .
% 0.87/1.29  
% 0.87/1.29  
% 0.87/1.29  percentage equality = 0.309982, percentage horn = 0.928444
% 0.87/1.29  This is a problem with some equality
% 0.87/1.29  
% 0.87/1.29  
% 0.87/1.29  
% 0.87/1.29  Options Used:
% 0.87/1.29  
% 0.87/1.29  useres =            1
% 0.87/1.29  useparamod =        1
% 0.87/1.29  useeqrefl =         1
% 0.87/1.29  useeqfact =         1
% 0.87/1.29  usefactor =         1
% 0.87/1.29  usesimpsplitting =  0
% 0.87/1.29  usesimpdemod =      5
% 0.87/1.29  usesimpres =        3
% 0.87/1.29  
% 0.87/1.29  resimpinuse      =  1000
% 0.87/1.29  resimpclauses =     20000
% 0.87/1.29  substype =          eqrewr
% 0.87/1.29  backwardsubs =      1
% 0.87/1.29  selectoldest =      5
% 0.87/1.29  
% 0.87/1.29  litorderings [0] =  split
% 0.87/1.29  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.87/1.29  
% 0.87/1.29  termordering =      kbo
% 0.87/1.29  
% 0.87/1.29  litapriori =        0
% 0.87/1.29  termapriori =       1
% 0.87/1.29  litaposteriori =    0
% 0.87/1.29  termaposteriori =   0
% 0.87/1.29  demodaposteriori =  0
% 0.87/1.29  ordereqreflfact =   0
% 0.87/1.29  
% 0.87/1.29  litselect =         negord
% 0.87/1.29  
% 0.87/1.29  maxweight =         15
% 0.87/1.29  maxdepth =          30000
% 0.87/1.29  maxlength =         115
% 0.87/1.29  maxnrvars =         195
% 0.87/1.29  excuselevel =       1
% 0.87/1.29  increasemaxweight = 1
% 0.87/1.29  
% 0.87/1.29  maxselected =       10000000
% 0.87/1.29  maxnrclauses =      10000000
% 0.87/1.29  
% 0.87/1.29  showgenerated =    0
% 0.87/1.29  showkept =         0
% 0.87/1.29  showselected =     0
% 0.87/1.29  showdeleted =      0
% 0.87/1.29  showresimp =       1
% 0.87/1.29  showstatus =       2000
% 0.87/1.29  
% 0.87/1.29  prologoutput =     1
% 0.87/1.29  nrgoals =          5000000
% 0.87/1.29  totalproof =       1
% 0.87/1.29  
% 0.87/1.29  Symbols occurring in the translation:
% 0.87/1.29  
% 0.87/1.29  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.87/1.29  .  [1, 2]      (w:1, o:145, a:1, s:1, b:0), 
% 0.87/1.29  !  [4, 1]      (w:0, o:114, a:1, s:1, b:0), 
% 0.87/1.29  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.87/1.29  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.87/1.29  'tc_bool'  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.87/1.29  'tc_fun'  [43, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.87/1.29  'c_Lattices_Oupper__semilattice__class_Osup'  [44, 3]      (w:1, o:184, a:1
% 0.87/1.29    , s:1, b:0), 
% 0.87/1.29  'c_Orderings_Obot__class_Obot'  [47, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 0.87/1.29  'c_Fun_Oinj__on'  [49, 4]      (w:1, o:201, a:1, s:1, b:0), 
% 0.87/1.29  'c_Com_Ocom_OAss'  [52, 2]      (w:1, o:171, a:1, s:1, b:0), 
% 0.87/1.29  'c_Com_OWT'  [53, 1]      (w:1, o:120, a:1, s:1, b:0), 
% 0.87/1.29  'c_Com_Ocom_OSemi'  [56, 2]      (w:1, o:172, a:1, s:1, b:0), 
% 0.87/1.29  'c_Natural_Oevalc'  [59, 3]      (w:1, o:187, a:1, s:1, b:0), 
% 0.87/1.29  'c_Com_Ocom_OSKIP'  [61, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 0.87/1.29  'class_Orderings_Olinorder'  [62, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 0.87/1.29  'c_Set_Oinsert'  [63, 3]      (w:1, o:188, a:1, s:1, b:0), 
% 0.87/1.29  'c_Finite__Set_Olinorder__class_OMax'  [64, 2]      (w:1, o:173, a:1, s:1
% 0.87/1.29    , b:0), 
% 0.87/1.29  'c_Natural_Oevaln'  [66, 4]      (w:1, o:203, a:1, s:1, b:0), 
% 0.87/1.29  'class_OrderedGroup_Oab__group__add'  [67, 1]      (w:1, o:122, a:1, s:1
% 0.87/1.29    , b:0), 
% 0.87/1.29  'c_HOL_Ominus__class_Ominus'  [69, 3]      (w:1, o:189, a:1, s:1, b:0), 
% 0.87/1.29  'c_Com_Ocom_OWhile'  [76, 2]      (w:1, o:174, a:1, s:1, b:0), 
% 0.87/1.29  hAPP  [77, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 0.87/1.29  hBOOL  [78, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 0.87/1.29  'c_Option_Ooption_ONone'  [79, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 0.87/1.29  'c_Option_Ooption_OSome'  [81, 2]      (w:1, o:176, a:1, s:1, b:0), 
% 0.87/1.29  'c_Orderings_Otop__class_Otop'  [82, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 0.87/1.29  'c_Set_Oimage'  [83, 4]      (w:1, o:204, a:1, s:1, b:0), 
% 0.87/1.29  'c_in'  [84, 3]      (w:1, o:190, a:1, s:1, b:0), 
% 0.87/1.29  'c_Finite__Set_Ocard'  [85, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 0.87/1.29  'c_Suc'  [86, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 0.87/1.29  'c_Com_Ocom_Ocom__case'  [97, 10]      (w:1, o:215, a:1, s:1, b:0), 
% 0.87/1.29  'c_Lattices_Olower__semilattice__class_Oinf'  [98, 3]      (w:1, o:191, a:1
% 3.74/4.14    , s:1, b:0), 
% 3.74/4.14  'c_COMBS'  [102, 5]      (w:1, o:209, a:1, s:1, b:0), 
% 3.74/4.14  'c_Finite__Set_Ofinite'  [104, 2]      (w:1, o:178, a:1, s:1, b:0), 
% 3.74/4.14  'c_SetInterval_Oord__class_OatLeastAtMost'  [108, 3]      (w:1, o:192, a:1
% 3.74/4.14    , s:1, b:0), 
% 3.74/4.14  'c_SetInterval_Oord__class_OgreaterThan'  [109, 2]      (w:1, o:179, a:1
% 3.74/4.14    , s:1, b:0), 
% 3.74/4.14  'c_SetInterval_Oord__class_OatLeast'  [110, 2]      (w:1, o:180, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'c_lessequals'  [111, 3]      (w:1, o:193, a:1, s:1, b:0), 
% 3.74/4.14  'c_Com_Ocom_OCall'  [113, 3]      (w:1, o:194, a:1, s:1, b:0), 
% 3.74/4.14  'class_Lattices_Oupper__semilattice'  [119, 1]      (w:1, o:127, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'c_Set_Ovimage'  [122, 4]      (w:1, o:205, a:1, s:1, b:0), 
% 3.74/4.14  'class_Lattices_Odistrib__lattice'  [123, 1]      (w:1, o:128, a:1, s:1, b:
% 3.74/4.14    0), 
% 3.74/4.14  'c_SetInterval_Oord__class_OatLeastLessThan'  [125, 3]      (w:1, o:195, a:
% 3.74/4.14    1, s:1, b:0), 
% 3.74/4.14  'class_Orderings_Oorder'  [127, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 3.74/4.14  'c_Map_Odom'  [131, 3]      (w:1, o:185, a:1, s:1, b:0), 
% 3.74/4.14  'c_Com_Ocom_OLocal'  [135, 3]      (w:1, o:196, a:1, s:1, b:0), 
% 3.74/4.14  't_b'  [137, 0]      (w:1, o:89, a:1, s:1, b:0), 
% 3.74/4.14  'c_Hoare__Mirabelle_Otriple_Otriple'  [138, 1]      (w:1, o:130, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'tc_Com_Ostate'  [139, 0]      (w:1, o:90, a:1, s:1, b:0), 
% 3.74/4.14  'tc_Com_Ocom'  [140, 0]      (w:1, o:91, a:1, s:1, b:0), 
% 3.74/4.14  'tc_Hoare__Mirabelle_Otriple'  [141, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 3.74/4.14  't_a'  [142, 0]      (w:1, o:88, a:1, s:1, b:0), 
% 3.74/4.14  'c_COMBB'  [143, 5]      (w:1, o:210, a:1, s:1, b:0), 
% 3.74/4.14  'c_Hoare__Mirabelle_Ohoare__derivs'  [145, 3]      (w:1, o:197, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'  [148, 6]      (w:1, o:213
% 3.74/4.14    , a:1, s:1, b:0), 
% 3.74/4.14  'class_Lattices_Olattice'  [149, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 3.74/4.14  'c_Com_Ocom_OBODY'  [151, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 3.74/4.14  'c_SetInterval_Oord__class_OatMost'  [152, 2]      (w:1, o:181, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'class_Lattices_Olower__semilattice'  [153, 1]      (w:1, o:133, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'c_SetInterval_Oord__class_OlessThan'  [154, 2]      (w:1, o:182, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'class_Lattices_Obounded__lattice'  [157, 1]      (w:1, o:134, a:1, s:1, b:
% 3.74/4.14    0), 
% 3.74/4.14  'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'  [159, 4]      (w:1
% 3.74/4.14    , o:206, a:1, s:1, b:0), 
% 3.74/4.14  'tc_Com_Opname'  [162, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 3.74/4.14  'c_Option_Othe'  [163, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 3.74/4.14  'c_Com_Obody'  [164, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 3.74/4.14  'tc_Option_Ooption'  [165, 1]      (w:1, o:136, a:1, s:1, b:0), 
% 3.74/4.14  'class_OrderedGroup_Opordered__ab__group__add'  [166, 1]      (w:1, o:137
% 3.74/4.14    , a:1, s:1, b:0), 
% 3.74/4.14  'c_Hoare__Mirabelle_Otriple__valid'  [168, 3]      (w:1, o:198, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'c_Map_Omap__le'  [169, 4]      (w:1, o:202, a:1, s:1, b:0), 
% 3.74/4.14  'class_HOL_Oord'  [174, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 3.74/4.14  'c_Finite__Set_Olinorder__class_OMin'  [180, 2]      (w:1, o:183, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'class_Orderings_Otop'  [183, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 3.74/4.14  'class_Orderings_Obot'  [184, 1]      (w:1, o:140, a:1, s:1, b:0), 
% 3.74/4.14  'class_Finite__Set_Ofinite_Ofinite'  [185, 1]      (w:1, o:141, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'c_Hoare__Mirabelle_Ohoare__valids'  [194, 3]      (w:1, o:199, a:1, s:1
% 3.74/4.14    , b:0), 
% 3.74/4.14  'c_Hoare__Mirabelle_OMGT'  [195, 0]      (w:1, o:104, a:1, s:1, b:0), 
% 3.74/4.14  'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'  [196, 1]      (w:1, o:142, a:1
% 3.74/4.14    , s:1, b:0), 
% 3.74/4.14  'c_Hoare__Mirabelle_Ostate__not__singleton'  [197, 0]      (w:1, o:105, a:1
% 3.74/4.14    , s:1, b:0), 
% 3.74/4.14  'c_Com_OWT__bodies'  [198, 0]      (w:1, o:106, a:1, s:1, b:0), 
% 3.74/4.14  'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'  [199, 1]      (w:1, o:143
% 3.74/4.14    , a:1, s:1, b:0), 
% 3.74/4.14  'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'  [202, 4]      (w:1, o:207
% 3.74/4.14    , a:1, s:1, b:0), 
% 3.74/4.14  'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'  [203, 4]      (w:1
% 3.74/4.14    , o:208, a:1, s:1, b:0), 
% 3.74/4.14  'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'  [204, 5]      (w:1
% 3.74/4.14    , o:211, a:1, s:1, b:0), 
% 3.74/4.14  'c_Map_Omap__of'  [205, 3]      (w:1, o:186, a:1, s:1, b:0), 
% 3.74/4.14  'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'  [206, 5
% 3.74/4.14    ]      (w:1, o:212, a:1, s:1, b:0), 
% 14.63/15.05  'class_Orderings_Opreorder'  [208, 1]      (w:1, o:144, a:1, s:1, b:0), 
% 14.63/15.05  'v_F'  [210, 0]      (w:1, o:110, a:1, s:1, b:0), 
% 14.63/15.05  'tc_nat'  [213, 0]      (w:1, o:113, a:1, s:1, b:0), 
% 14.63/15.05  'c_COMBC'  [214, 6]      (w:1, o:214, a:1, s:1, b:0), 
% 14.63/15.05  'c_fequal'  [215, 3]      (w:1, o:200, a:1, s:1, b:0).
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Starting Search:
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    4823
% 14.63/15.05  Kept:         2203
% 14.63/15.05  Inuse:        183
% 14.63/15.05  Deleted:      4
% 14.63/15.05  Deletedinuse: 0
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    11967
% 14.63/15.05  Kept:         4526
% 14.63/15.05  Inuse:        246
% 14.63/15.05  Deleted:      5
% 14.63/15.05  Deletedinuse: 0
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    19205
% 14.63/15.05  Kept:         6850
% 14.63/15.05  Inuse:        291
% 14.63/15.05  Deleted:      5
% 14.63/15.05  Deletedinuse: 0
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    31825
% 14.63/15.05  Kept:         9326
% 14.63/15.05  Inuse:        369
% 14.63/15.05  Deleted:      7
% 14.63/15.05  Deletedinuse: 0
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    41376
% 14.63/15.05  Kept:         11362
% 14.63/15.05  Inuse:        446
% 14.63/15.05  Deleted:      11
% 14.63/15.05  Deletedinuse: 1
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    50158
% 14.63/15.05  Kept:         14306
% 14.63/15.05  Inuse:        473
% 14.63/15.05  Deleted:      21
% 14.63/15.05  Deletedinuse: 10
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    56750
% 14.63/15.05  Kept:         16352
% 14.63/15.05  Inuse:        490
% 14.63/15.05  Deleted:      21
% 14.63/15.05  Deletedinuse: 10
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    68407
% 14.63/15.05  Kept:         19177
% 14.63/15.05  Inuse:        550
% 14.63/15.05  Deleted:      23
% 14.63/15.05  Deletedinuse: 12
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying clauses:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    76844
% 14.63/15.05  Kept:         21186
% 14.63/15.05  Inuse:        580
% 14.63/15.05  Deleted:      168
% 14.63/15.05  Deletedinuse: 12
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    84104
% 14.63/15.05  Kept:         23217
% 14.63/15.05  Inuse:        630
% 14.63/15.05  Deleted:      170
% 14.63/15.05  Deletedinuse: 14
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    98302
% 14.63/15.05  Kept:         26630
% 14.63/15.05  Inuse:        680
% 14.63/15.05  Deleted:      172
% 14.63/15.05  Deletedinuse: 16
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    106171
% 14.63/15.05  Kept:         28642
% 14.63/15.05  Inuse:        702
% 14.63/15.05  Deleted:      172
% 14.63/15.05  Deletedinuse: 16
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    116303
% 14.63/15.05  Kept:         30916
% 14.63/15.05  Inuse:        740
% 14.63/15.05  Deleted:      174
% 14.63/15.05  Deletedinuse: 18
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    129439
% 14.63/15.05  Kept:         33965
% 14.63/15.05  Inuse:        764
% 14.63/15.05  Deleted:      175
% 14.63/15.05  Deletedinuse: 18
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    138202
% 14.63/15.05  Kept:         35976
% 14.63/15.05  Inuse:        812
% 14.63/15.05  Deleted:      178
% 14.63/15.05  Deletedinuse: 21
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    147630
% 14.63/15.05  Kept:         38367
% 14.63/15.05  Inuse:        824
% 14.63/15.05  Deleted:      184
% 14.63/15.05  Deletedinuse: 27
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    158164
% 14.63/15.05  Kept:         41084
% 14.63/15.05  Inuse:        844
% 14.63/15.05  Deleted:      184
% 14.63/15.05  Deletedinuse: 27
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying clauses:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    168772
% 14.63/15.05  Kept:         43086
% 14.63/15.05  Inuse:        862
% 14.63/15.05  Deleted:      517
% 14.63/15.05  Deletedinuse: 27
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    177527
% 14.63/15.05  Kept:         45105
% 14.63/15.05  Inuse:        901
% 14.63/15.05  Deleted:      517
% 14.63/15.05  Deletedinuse: 27
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    186561
% 14.63/15.05  Kept:         47105
% 14.63/15.05  Inuse:        940
% 14.63/15.05  Deleted:      519
% 14.63/15.05  Deletedinuse: 29
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    199725
% 14.63/15.05  Kept:         49433
% 14.63/15.05  Inuse:        959
% 14.63/15.05  Deleted:      519
% 14.63/15.05  Deletedinuse: 29
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    208317
% 14.63/15.05  Kept:         51502
% 14.63/15.05  Inuse:        974
% 14.63/15.05  Deleted:      519
% 14.63/15.05  Deletedinuse: 29
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  Resimplifying inuse:
% 14.63/15.05  Done
% 14.63/15.05  
% 14.63/15.05  
% 14.63/15.05  Intermediate Status:
% 14.63/15.05  Generated:    217655
% 40.82/41.21  Kept:         53534
% 40.82/41.21  Inuse:        1015
% 40.82/41.21  Deleted:      526
% 40.82/41.21  Deletedinuse: 36
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    226670
% 40.82/41.21  Kept:         55588
% 40.82/41.21  Inuse:        1054
% 40.82/41.21  Deleted:      527
% 40.82/41.21  Deletedinuse: 37
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    236408
% 40.82/41.21  Kept:         57589
% 40.82/41.21  Inuse:        1071
% 40.82/41.21  Deleted:      528
% 40.82/41.21  Deletedinuse: 38
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    247252
% 40.82/41.21  Kept:         59596
% 40.82/41.21  Inuse:        1115
% 40.82/41.21  Deleted:      530
% 40.82/41.21  Deletedinuse: 40
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying clauses:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    257915
% 40.82/41.21  Kept:         61656
% 40.82/41.21  Inuse:        1158
% 40.82/41.21  Deleted:      854
% 40.82/41.21  Deletedinuse: 42
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    264847
% 40.82/41.21  Kept:         63658
% 40.82/41.21  Inuse:        1183
% 40.82/41.21  Deleted:      856
% 40.82/41.21  Deletedinuse: 44
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    272343
% 40.82/41.21  Kept:         65688
% 40.82/41.21  Inuse:        1207
% 40.82/41.21  Deleted:      856
% 40.82/41.21  Deletedinuse: 44
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    280756
% 40.82/41.21  Kept:         67804
% 40.82/41.21  Inuse:        1233
% 40.82/41.21  Deleted:      856
% 40.82/41.21  Deletedinuse: 44
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    289132
% 40.82/41.21  Kept:         69821
% 40.82/41.21  Inuse:        1258
% 40.82/41.21  Deleted:      857
% 40.82/41.21  Deletedinuse: 45
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    298891
% 40.82/41.21  Kept:         71836
% 40.82/41.21  Inuse:        1290
% 40.82/41.21  Deleted:      857
% 40.82/41.21  Deletedinuse: 45
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    309664
% 40.82/41.21  Kept:         73991
% 40.82/41.21  Inuse:        1313
% 40.82/41.21  Deleted:      857
% 40.82/41.21  Deletedinuse: 45
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    319325
% 40.82/41.21  Kept:         76107
% 40.82/41.21  Inuse:        1348
% 40.82/41.21  Deleted:      857
% 40.82/41.21  Deletedinuse: 45
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    329392
% 40.82/41.21  Kept:         78152
% 40.82/41.21  Inuse:        1380
% 40.82/41.21  Deleted:      858
% 40.82/41.21  Deletedinuse: 46
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    338069
% 40.82/41.21  Kept:         80170
% 40.82/41.21  Inuse:        1402
% 40.82/41.21  Deleted:      859
% 40.82/41.21  Deletedinuse: 47
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying clauses:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    345820
% 40.82/41.21  Kept:         82173
% 40.82/41.21  Inuse:        1416
% 40.82/41.21  Deleted:      1046
% 40.82/41.21  Deletedinuse: 47
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    357346
% 40.82/41.21  Kept:         84400
% 40.82/41.21  Inuse:        1418
% 40.82/41.21  Deleted:      1046
% 40.82/41.21  Deletedinuse: 47
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    370694
% 40.82/41.21  Kept:         86529
% 40.82/41.21  Inuse:        1432
% 40.82/41.21  Deleted:      1046
% 40.82/41.21  Deletedinuse: 47
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    405305
% 40.82/41.21  Kept:         90684
% 40.82/41.21  Inuse:        1438
% 40.82/41.21  Deleted:      1048
% 40.82/41.21  Deletedinuse: 49
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    440697
% 40.82/41.21  Kept:         94854
% 40.82/41.21  Inuse:        1443
% 40.82/41.21  Deleted:      1048
% 40.82/41.21  Deletedinuse: 49
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    457113
% 40.82/41.21  Kept:         98185
% 40.82/41.21  Inuse:        1458
% 40.82/41.21  Deleted:      1048
% 40.82/41.21  Deletedinuse: 49
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    471482
% 40.82/41.21  Kept:         100269
% 40.82/41.21  Inuse:        1467
% 40.82/41.21  Deleted:      1048
% 40.82/41.21  Deletedinuse: 49
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying clauses:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    496092
% 40.82/41.21  Kept:         103151
% 40.82/41.21  Inuse:        1473
% 40.82/41.21  Deleted:      1229
% 40.82/41.21  Deletedinuse: 49
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    503247
% 40.82/41.21  Kept:         105188
% 40.82/41.21  Inuse:        1487
% 40.82/41.21  Deleted:      1229
% 40.82/41.21  Deletedinuse: 49
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    510577
% 40.82/41.21  Kept:         107258
% 40.82/41.21  Inuse:        1503
% 40.82/41.21  Deleted:      1229
% 40.82/41.21  Deletedinuse: 49
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  Resimplifying inuse:
% 40.82/41.21  Done
% 40.82/41.21  
% 40.82/41.21  
% 40.82/41.21  Intermediate Status:
% 40.82/41.21  Generated:    521140
% 40.82/41.21  Kept:         109938
% 40.82/41.21  Inuse:        1513
% 95.43/95.83  Deleted:      1229
% 95.43/95.83  Deletedinuse: 49
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    537166
% 95.43/95.83  Kept:         114167
% 95.43/95.83  Inuse:        1518
% 95.43/95.83  Deleted:      1229
% 95.43/95.83  Deletedinuse: 49
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    553066
% 95.43/95.83  Kept:         118357
% 95.43/95.83  Inuse:        1523
% 95.43/95.83  Deleted:      1229
% 95.43/95.83  Deletedinuse: 49
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    562625
% 95.43/95.83  Kept:         120575
% 95.43/95.83  Inuse:        1543
% 95.43/95.83  Deleted:      1229
% 95.43/95.83  Deletedinuse: 49
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying clauses:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    580867
% 95.43/95.83  Kept:         123376
% 95.43/95.83  Inuse:        1558
% 95.43/95.83  Deleted:      1264
% 95.43/95.83  Deletedinuse: 49
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    595836
% 95.43/95.83  Kept:         125426
% 95.43/95.83  Inuse:        1567
% 95.43/95.83  Deleted:      1264
% 95.43/95.83  Deletedinuse: 49
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    610532
% 95.43/95.83  Kept:         127650
% 95.43/95.83  Inuse:        1573
% 95.43/95.83  Deleted:      1264
% 95.43/95.83  Deletedinuse: 49
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    620644
% 95.43/95.83  Kept:         129707
% 95.43/95.83  Inuse:        1591
% 95.43/95.83  Deleted:      1264
% 95.43/95.83  Deletedinuse: 49
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    635311
% 95.43/95.83  Kept:         132565
% 95.43/95.83  Inuse:        1598
% 95.43/95.83  Deleted:      1264
% 95.43/95.83  Deletedinuse: 49
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    649555
% 95.43/95.83  Kept:         134763
% 95.43/95.83  Inuse:        1613
% 95.43/95.83  Deleted:      1266
% 95.43/95.83  Deletedinuse: 51
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    668832
% 95.43/95.83  Kept:         137430
% 95.43/95.83  Inuse:        1623
% 95.43/95.83  Deleted:      1267
% 95.43/95.83  Deletedinuse: 52
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    697539
% 95.43/95.83  Kept:         141496
% 95.43/95.83  Inuse:        1633
% 95.43/95.83  Deleted:      1267
% 95.43/95.83  Deletedinuse: 52
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying clauses:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    715901
% 95.43/95.83  Kept:         145273
% 95.43/95.83  Inuse:        1643
% 95.43/95.83  Deleted:      1422
% 95.43/95.83  Deletedinuse: 52
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    721828
% 95.43/95.83  Kept:         147314
% 95.43/95.83  Inuse:        1652
% 95.43/95.83  Deleted:      1422
% 95.43/95.83  Deletedinuse: 52
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    730849
% 95.43/95.83  Kept:         149330
% 95.43/95.83  Inuse:        1665
% 95.43/95.83  Deleted:      1423
% 95.43/95.83  Deletedinuse: 53
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    743293
% 95.43/95.83  Kept:         151381
% 95.43/95.83  Inuse:        1681
% 95.43/95.83  Deleted:      1423
% 95.43/95.83  Deletedinuse: 53
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    755063
% 95.43/95.83  Kept:         153464
% 95.43/95.83  Inuse:        1696
% 95.43/95.83  Deleted:      1423
% 95.43/95.83  Deletedinuse: 53
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    771434
% 95.43/95.83  Kept:         155822
% 95.43/95.83  Inuse:        1703
% 95.43/95.83  Deleted:      1423
% 95.43/95.83  Deletedinuse: 53
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    781392
% 95.43/95.83  Kept:         158040
% 95.43/95.83  Inuse:        1718
% 95.43/95.83  Deleted:      1423
% 95.43/95.83  Deletedinuse: 53
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    793359
% 95.43/95.83  Kept:         160565
% 95.43/95.83  Inuse:        1728
% 95.43/95.83  Deleted:      1423
% 95.43/95.83  Deletedinuse: 53
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying clauses:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    805978
% 95.43/95.83  Kept:         162573
% 95.43/95.83  Inuse:        1742
% 95.43/95.83  Deleted:      1546
% 95.43/95.83  Deletedinuse: 53
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    814515
% 95.43/95.83  Kept:         165309
% 95.43/95.83  Inuse:        1748
% 95.43/95.83  Deleted:      1547
% 95.43/95.83  Deletedinuse: 54
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    829574
% 95.43/95.83  Kept:         167653
% 95.43/95.83  Inuse:        1758
% 95.43/95.83  Deleted:      1548
% 95.43/95.83  Deletedinuse: 55
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    836924
% 95.43/95.83  Kept:         169672
% 95.43/95.83  Inuse:        1782
% 95.43/95.83  Deleted:      1548
% 95.43/95.83  Deletedinuse: 55
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  Resimplifying inuse:
% 95.43/95.83  Done
% 95.43/95.83  
% 95.43/95.83  
% 95.43/95.83  Intermediate Status:
% 95.43/95.83  Generated:    844298
% 95.43/95.83  Kept:         171679
% 95.43/95.83  Inuse:        1801
% 95.43/95.83  Deleted:      1548
% 95.43/95.83  Deletedinuse: 55
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    852019
% 209.85/210.28  Kept:         174051
% 209.85/210.28  Inuse:        1823
% 209.85/210.28  Deleted:      1548
% 209.85/210.28  Deletedinuse: 55
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    860686
% 209.85/210.28  Kept:         176051
% 209.85/210.28  Inuse:        1846
% 209.85/210.28  Deleted:      1548
% 209.85/210.28  Deletedinuse: 55
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    868487
% 209.85/210.28  Kept:         178079
% 209.85/210.28  Inuse:        1863
% 209.85/210.28  Deleted:      1548
% 209.85/210.28  Deletedinuse: 55
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    878829
% 209.85/210.28  Kept:         180310
% 209.85/210.28  Inuse:        1888
% 209.85/210.28  Deleted:      1548
% 209.85/210.28  Deletedinuse: 55
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    889143
% 209.85/210.28  Kept:         182365
% 209.85/210.28  Inuse:        1913
% 209.85/210.28  Deleted:      1548
% 209.85/210.28  Deletedinuse: 55
% 209.85/210.28  
% 209.85/210.28  Resimplifying clauses:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    897093
% 209.85/210.28  Kept:         184367
% 209.85/210.28  Inuse:        1923
% 209.85/210.28  Deleted:      1579
% 209.85/210.28  Deletedinuse: 56
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    907530
% 209.85/210.28  Kept:         186418
% 209.85/210.28  Inuse:        1938
% 209.85/210.28  Deleted:      1579
% 209.85/210.28  Deletedinuse: 56
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    916111
% 209.85/210.28  Kept:         188523
% 209.85/210.28  Inuse:        1958
% 209.85/210.28  Deleted:      1579
% 209.85/210.28  Deletedinuse: 56
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    927315
% 209.85/210.28  Kept:         190529
% 209.85/210.28  Inuse:        1984
% 209.85/210.28  Deleted:      1579
% 209.85/210.28  Deletedinuse: 56
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    947908
% 209.85/210.28  Kept:         192797
% 209.85/210.28  Inuse:        1998
% 209.85/210.28  Deleted:      1579
% 209.85/210.28  Deletedinuse: 56
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    968402
% 209.85/210.28  Kept:         194927
% 209.85/210.28  Inuse:        2008
% 209.85/210.28  Deleted:      1580
% 209.85/210.28  Deletedinuse: 57
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    993478
% 209.85/210.28  Kept:         200945
% 209.85/210.28  Inuse:        2023
% 209.85/210.28  Deleted:      1580
% 209.85/210.28  Deletedinuse: 57
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying clauses:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1002383
% 209.85/210.28  Kept:         202992
% 209.85/210.28  Inuse:        2036
% 209.85/210.28  Deleted:      1868
% 209.85/210.28  Deletedinuse: 57
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1112548
% 209.85/210.28  Kept:         205002
% 209.85/210.28  Inuse:        2091
% 209.85/210.28  Deleted:      1868
% 209.85/210.28  Deletedinuse: 57
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1170141
% 209.85/210.28  Kept:         207009
% 209.85/210.28  Inuse:        2159
% 209.85/210.28  Deleted:      1872
% 209.85/210.28  Deletedinuse: 59
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1244706
% 209.85/210.28  Kept:         209038
% 209.85/210.28  Inuse:        2225
% 209.85/210.28  Deleted:      1872
% 209.85/210.28  Deletedinuse: 59
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1297524
% 209.85/210.28  Kept:         211119
% 209.85/210.28  Inuse:        2295
% 209.85/210.28  Deleted:      1875
% 209.85/210.28  Deletedinuse: 62
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1335749
% 209.85/210.28  Kept:         220981
% 209.85/210.28  Inuse:        2329
% 209.85/210.28  Deleted:      1875
% 209.85/210.28  Deletedinuse: 62
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying clauses:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1363481
% 209.85/210.28  Kept:         222982
% 209.85/210.28  Inuse:        2379
% 209.85/210.28  Deleted:      2079
% 209.85/210.28  Deletedinuse: 62
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1386475
% 209.85/210.28  Kept:         224982
% 209.85/210.28  Inuse:        2424
% 209.85/210.28  Deleted:      2079
% 209.85/210.28  Deletedinuse: 62
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1414153
% 209.85/210.28  Kept:         226993
% 209.85/210.28  Inuse:        2478
% 209.85/210.28  Deleted:      2079
% 209.85/210.28  Deletedinuse: 62
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1462214
% 209.85/210.28  Kept:         228995
% 209.85/210.28  Inuse:        2574
% 209.85/210.28  Deleted:      2079
% 209.85/210.28  Deletedinuse: 62
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1498845
% 209.85/210.28  Kept:         231003
% 209.85/210.28  Inuse:        2662
% 209.85/210.28  Deleted:      2079
% 209.85/210.28  Deletedinuse: 62
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  Resimplifying inuse:
% 209.85/210.28  Done
% 209.85/210.28  
% 209.85/210.28  
% 209.85/210.28  Intermediate Status:
% 209.85/210.28  Generated:    1563287
% 209.85/210.28  Kept:         244647
% 209.85/210.28  Inuse:        2743
% 209.85/210.28  Deleted:      2079
% 294.50/295.00  Deletedinuse: 62
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying clauses:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1593104
% 294.50/295.00  Kept:         246694
% 294.50/295.00  Inuse:        2787
% 294.50/295.00  Deleted:      2092
% 294.50/295.00  Deletedinuse: 62
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1626664
% 294.50/295.00  Kept:         248706
% 294.50/295.00  Inuse:        2838
% 294.50/295.00  Deleted:      2092
% 294.50/295.00  Deletedinuse: 62
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1663474
% 294.50/295.00  Kept:         250744
% 294.50/295.00  Inuse:        2898
% 294.50/295.00  Deleted:      2092
% 294.50/295.00  Deletedinuse: 62
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1705692
% 294.50/295.00  Kept:         252777
% 294.50/295.00  Inuse:        2933
% 294.50/295.00  Deleted:      2092
% 294.50/295.00  Deletedinuse: 62
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1744049
% 294.50/295.00  Kept:         254784
% 294.50/295.00  Inuse:        2988
% 294.50/295.00  Deleted:      2099
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1788416
% 294.50/295.00  Kept:         256815
% 294.50/295.00  Inuse:        3043
% 294.50/295.00  Deleted:      2099
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1829247
% 294.50/295.00  Kept:         270083
% 294.50/295.00  Inuse:        3059
% 294.50/295.00  Deleted:      2099
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying clauses:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1861896
% 294.50/295.00  Kept:         272125
% 294.50/295.00  Inuse:        3095
% 294.50/295.00  Deleted:      2314
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1912238
% 294.50/295.00  Kept:         274140
% 294.50/295.00  Inuse:        3150
% 294.50/295.00  Deleted:      2314
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    1963334
% 294.50/295.00  Kept:         276181
% 294.50/295.00  Inuse:        3200
% 294.50/295.00  Deleted:      2314
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2000997
% 294.50/295.00  Kept:         278252
% 294.50/295.00  Inuse:        3232
% 294.50/295.00  Deleted:      2314
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2039574
% 294.50/295.00  Kept:         286294
% 294.50/295.00  Inuse:        3252
% 294.50/295.00  Deleted:      2314
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2084369
% 294.50/295.00  Kept:         294848
% 294.50/295.00  Inuse:        3290
% 294.50/295.00  Deleted:      2314
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying clauses:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2110740
% 294.50/295.00  Kept:         296885
% 294.50/295.00  Inuse:        3320
% 294.50/295.00  Deleted:      2344
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2145424
% 294.50/295.00  Kept:         304949
% 294.50/295.00  Inuse:        3344
% 294.50/295.00  Deleted:      2344
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2178407
% 294.50/295.00  Kept:         306972
% 294.50/295.00  Inuse:        3379
% 294.50/295.00  Deleted:      2344
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2202468
% 294.50/295.00  Kept:         309320
% 294.50/295.00  Inuse:        3405
% 294.50/295.00  Deleted:      2344
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2243883
% 294.50/295.00  Kept:         311525
% 294.50/295.00  Inuse:        3427
% 294.50/295.00  Deleted:      2344
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2253587
% 294.50/295.00  Kept:         313890
% 294.50/295.00  Inuse:        3435
% 294.50/295.00  Deleted:      2344
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying clauses:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2299439
% 294.50/295.00  Kept:         315906
% 294.50/295.00  Inuse:        3459
% 294.50/295.00  Deleted:      2378
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2323328
% 294.50/295.00  Kept:         317920
% 294.50/295.00  Inuse:        3500
% 294.50/295.00  Deleted:      2378
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2348530
% 294.50/295.00  Kept:         319965
% 294.50/295.00  Inuse:        3540
% 294.50/295.00  Deleted:      2378
% 294.50/295.00  Deletedinuse: 64
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  Resimplifying inuse:
% 294.50/295.00  Done
% 294.50/295.00  
% 294.50/295.00  
% 294.50/295.00  Intermediate Status:
% 294.50/295.00  Generated:    2376533
% 294.50/295.00  Kept:         322005
% 294.50/295.00  Inuse:        358Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------