TSTP Solution File: SWV907-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV907-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 16:29:09 EDT 2022

% Result   : Timeout 300.03s 300.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV907-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n020.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 06:46:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.88/1.25  *** allocated 10000 integers for termspace/termends
% 0.88/1.25  *** allocated 10000 integers for clauses
% 0.88/1.25  *** allocated 10000 integers for justifications
% 0.88/1.25  *** allocated 15000 integers for termspace/termends
% 0.88/1.25  Bliksem 1.12
% 0.88/1.25  
% 0.88/1.25  
% 0.88/1.25  Automatic Strategy Selection
% 0.88/1.25  
% 0.88/1.25  Clauses:
% 0.88/1.25  [
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.88/1.25    , Z ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.88/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'( 
% 0.88/1.25    X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ), Y, X ), 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.25    X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.25     ) ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.88/1.25    , T ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.88/1.25    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), T ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.88/1.25    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Z ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ), 
% 0.88/1.25    Z ), Z ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.25     [ =( 'c_Map_Omap__add'( 'c_Fun_Ofun__upd'( X, Y, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), T ), U, 'tc_Option_Ooption'( Z ) ), W, U, 
% 0.88/1.25    Z ), 'c_Fun_Ofun__upd'( 'c_Map_Omap__add'( X, W, U, Z ), Y, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), T ), U, 'tc_Option_Ooption'( Z ) ) ), 
% 0.88/1.25    hBOOL( 'c_in'( Y, 'c_Map_Odom'( W, U, Z ), U ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OSemi'( V2, V3 ), V4 ), hAPP( hAPP( hAPP( hAPP( T, V2 ), V3 )
% 0.88/1.25    , 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V2, V4 ) ), 
% 0.88/1.25    'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3, V4 ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.88/1.25    , =( X, T ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.88/1.25    , =( Y, U ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.88/1.25    , =( Z, W ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OLocal'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( hAPP( Z, V2 )
% 0.88/1.25    , V3 ), V4 ), 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V4, V5 )
% 0.88/1.25     ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OSKIP', V2 ), X ) ],
% 0.88/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.25     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.25    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.88/1.25    'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.25    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.25    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.88/1.25    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.88/1.25    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.88/1.25     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.88/1.25    'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.88/1.25    , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( 
% 0.88/1.25    Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.88/1.25    , U ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.88/1.25    , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.25    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 0.88/1.25    hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.88/1.25     [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.88/1.25     ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.88/1.25     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OCall'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( V1, V2 ), V3 )
% 0.88/1.25    , V4 ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.88/1.25    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.88/1.25     [ =( 'c_Map_Odom'( 'c_Fun_Ofun__upd'( X, Y, Z, T, 'tc_Option_Ooption'( U
% 0.88/1.25     ) ), T, U ), 'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, T, U ), T ) ), =( Z, 
% 0.88/1.25    'c_Option_Ooption_ONone'( U ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OAss'( V2, V3 ), V4 ), hAPP( hAPP( Y, V2 ), V3 ) ) ],
% 0.88/1.25     [ ~( hBOOL( hAPP( X, 'c_Option_Ooption_Ooption__case'( Y, Z, 
% 0.88/1.25    'c_Option_Ooption_ONone'( 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X, 
% 0.88/1.25    Y ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.88/1.25     ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ), 
% 0.88/1.25    Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( 
% 0.88/1.25    X, Y ) ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), Z
% 0.88/1.25     ), U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.88/1.25     [ =( 'c_Map_Omap__add'( X, 'c_COMBK'( 'c_Option_Ooption_ONone'( Y ), 
% 0.88/1.25    'tc_Option_Ooption'( Y ), Z ), Z, Y ), X ) ],
% 0.88/1.25     [ =( 'c_Map_Omap__add'( 'c_COMBK'( 'c_Option_Ooption_ONone'( X ), 
% 0.88/1.25    'tc_Option_Ooption'( X ), Y ), Z, Y, X ), Z ) ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.88/1.25    , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), T ), U ) ) )
% 0.88/1.25    , ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.25     [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z )
% 0.88/1.25    , Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 
% 0.88/1.25    'c_Com_Ocom_OCond'( X, Z, U ) ), Y ), T ) ) ) ],
% 0.88/1.25     [ =( 'c_Option_Ooption_Ooption__rec'( X, Y, 'c_Option_Ooption_ONone'( Z
% 0.88/1.25     ), T, Z ), X ) ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ) ), Z
% 0.88/1.25     ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), U ), T ) ) ), 
% 0.88/1.25    ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Z ), U ) ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Z ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Z ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.88/1.25    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, 
% 0.88/1.25    U, W ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.88/1.25    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), 
% 0.88/1.25    =( Y, Z ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.88/1.25    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), 
% 0.88/1.25    =( Y, Z ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.88/1.25     ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.88/1.25    , U ) ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 0.88/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 0.88/1.25    'c_lessequals'( Y, Z, X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 0.88/1.25    'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.25    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.88/1.25    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.25    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.25    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCall'( Z, T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), T ) ) ), ~( 
% 0.88/1.25    =( hAPP( U, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( hAPP( 
% 0.88/1.25    'c_Map_Omap__add'( X, U, W, Z ), Y ), hAPP( 'c_Option_Ooption_OSome'( Z )
% 0.88/1.25    , T ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( X, U ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( T ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( Y, U ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( T ) ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, 
% 0.88/1.25    Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.88/1.25     ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.88/1.25    'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.25     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.88/1.25    'c_in'( Y, X, T ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.88/1.25    , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.25     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.88/1.25    'c_in'( Y, X, T ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.25    , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.25     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, hAPP( 'c_Option_Ooption_OSome'( Z ), T
% 0.88/1.25     ), U, 'tc_Option_Ooption'( Z ) ), 'c_COMBK'( 'c_Option_Ooption_ONone'( Z
% 0.88/1.25     ), 'tc_Option_Ooption'( Z ), U ) ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.88/1.25    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.88/1.25    X, T ), Y ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Map_Odom'( 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Map_Odom'( Y, Z, T ), 
% 0.88/1.25    'c_Map_Odom'( X, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 0.88/1.25    ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.25     ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.88/1.25    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.88/1.25    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.88/1.25    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.88/1.25     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.88/1.25    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), T, U ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.25    , =( Z, W ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.25    , =( Y, U ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.25    , =( X, T ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Set_Oimage'( X, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.88/1.25     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.88/1.25     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.88/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ],
% 0.88/1.25     [ =( 'c_Map_Omap__comp'( X, 'c_COMBK'( 'c_Option_Ooption_ONone'( Y ), 
% 0.88/1.25    'tc_Option_Ooption'( Y ), 't_a' ), 'v_x', Y, Z, 't_a' ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( Z ) ) ],
% 0.88/1.25     [ =( 'c_Map_Omap__comp'( 'c_COMBK'( 'c_Option_Ooption_ONone'( X ), 
% 0.88/1.25    'tc_Option_Ooption'( X ), Y ), Z, 'v_x', Y, X, 't_a' ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( X ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ), 
% 0.88/1.25    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.88/1.25    hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Map_Omap__add'( X, 'c_Map_Omap__add'( Y, Z, T, U ), T, U ), 
% 0.88/1.25    'c_Map_Omap__add'( 'c_Map_Omap__add'( X, Y, T, U ), Z, T, U ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.88/1.25     ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.88/1.25     ), =( Y, W ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =( 
% 0.88/1.25    Y, Z ) ],
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OSKIP', V2 ), X ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.88/1.25     ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 
% 0.88/1.25    'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 
% 0.88/1.25    Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( hBOOL( 
% 0.88/1.25    'c_in'( Y, 'c_Map_Odom'( X, T, Z ), T ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ) ), =( hAPP( Y, X ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( T ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 0.88/1.25    ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.88/1.25     [ ~( =( 'c_Option_Omap'( X, Y, Z, T ), 'c_Option_Ooption_ONone'( T ) ) )
% 0.88/1.25    , =( Y, 'c_Option_Ooption_ONone'( Z ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSemi'( Z, T ), U, W
% 0.88/1.25     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ), 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( W ) ), W ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, U, W ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, V0, W ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OLocal'( X, Y, Z ) ) ) ],
% 0.88/1.25     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.88/1.25    , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.88/1.25     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.88/1.25    =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.25     ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.25    X, 'tc_bool' ) ), Y ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.25     ), Y ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.25    'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP( 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCall'( Z, T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP' ), X ), X )
% 0.88/1.25     ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ],
% 0.88/1.25     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.25    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 0.88/1.25    , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 0.88/1.25     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.25    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.25    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.25    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.25    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.88/1.25    'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.88/1.25    'c_lessequals'( Y, Z, X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.88/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.25    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.25     ],
% 0.88/1.25     [ hBOOL( 'c_Option_Ois__none'( 'c_Option_Ooption_ONone'( X ), X ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Option_Ooption_Ooption__case'( X, Y, 'c_Option_Ooption_ONone'( Z
% 0.88/1.25     ), T, Z ), X ) ],
% 0.88/1.25     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.88/1.25     ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.25    't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( T
% 0.88/1.25    , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T
% 0.88/1.25    , U, X ) ), Y ), Z ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.88/1.25    , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), U ) ) )
% 0.88/1.25    , hBOOL( hAPP( X, T ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OAss'( X, Y ) ) ) ],
% 0.88/1.25     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.25     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.88/1.25     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.25     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.88/1.25     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.25     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.88/1.25     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.25    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'( 
% 0.88/1.25    T, X, Z ) ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.88/1.25    hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.25    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.25    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.25    , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.25    , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    Z, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    T, Z, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.88/1.25    'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.88/1.25    'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    Z, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    T, Z, X ), X ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OSemi'( V2, V3 ), V4 ), hAPP( hAPP( T, V2 ), V3 ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.88/1.25    =( X, Z ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.88/1.25    =( Y, T ) ],
% 0.88/1.25     [ =( X, 'c_Option_Ooption_ONone'( Y ) ), ~( hBOOL( 'c_Option_Ois__none'( 
% 0.88/1.25    X, Y ) ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OCall'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( V1, V2 ), V3 )
% 0.88/1.25    , V4 ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( 'c_Option_Omap'( X, 'c_Option_Ooption_ONone'( Y ), Y, Z ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( Z ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.88/1.25    Y, X ) ],
% 0.88/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.88/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.88/1.25    'tc_bool' ) ), X ), X ), X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( =( hAPP( T, 
% 0.88/1.25    Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( hAPP( 'c_Map_Omap__add'( X, T
% 0.88/1.25    , U, Z ), Y ), 'c_Option_Ooption_ONone'( Z ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_Hoare__Mirabelle_OMGT', X ), 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), X, 
% 0.88/1.25    'c_Natural_Oevalc'( X ), 'tc_Com_Ostate' ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCall'( Z, T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Option_Ois__none'( 'v_x', 't_a' ), hAPP( hAPP( 'c_fequal'( 
% 0.88/1.25    'tc_Option_Ooption'( 't_a' ) ), 'v_x' ), 'c_Option_Ooption_ONone'( 't_a'
% 0.88/1.25     ) ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, 'c_Com_Ocom_OAss'( 
% 0.88/1.25    V2, V3 ), V4 ), hAPP( hAPP( Y, V2 ), V3 ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( 
% 0.88/1.25    'c_Map_Omap__comp'( T, X, Y, Z, U, W ), 'c_Option_Ooption_ONone'( U ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( 
% 0.88/1.25    'c_Map_Omap__comp'( T, X, Y, Z, U, W ), 'c_Option_Ooption_ONone'( U ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( 
% 0.88/1.25    X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.88/1.25    , Z ) ) ],
% 0.88/1.25     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Z, T ) ) ],
% 0.88/1.25     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Z, T ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OWhile'( V2, V3 ), V4 ), hAPP( hAPP( hAPP( W, V2 ), V3 ), 
% 0.88/1.25    'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3, V4 ) ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), ~( 
% 0.88/1.25    hBOOL( 'c_in'( U, 'c_Map_Odom'( Y, Z, T ), Z ) ) ) ],
% 0.88/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.88/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'( 
% 0.88/1.25    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OCond'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( hAPP( hAPP( U, 
% 0.88/1.25    V2 ), V3 ), V4 ), 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3, 
% 0.88/1.25    V5 ) ), 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V4, V5 ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 
% 0.88/1.25    'c_Com_Ocom_OSKIP' ), Y ), X ) ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.88/1.25     ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 0.88/1.25     ) ],
% 0.88/1.25     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.88/1.25    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.88/1.25     [ =( 'c_Map_Odom'( 'c_Fun_Ofun__upd'( 'c_COMBK'( 
% 0.88/1.25    'c_Option_Ooption_ONone'( X ), 'tc_Option_Ooption'( X ), Y ), Z, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( X ), T ), Y, 'tc_Option_Ooption'( X ) ), Y, X )
% 0.88/1.25    , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ), Y, X ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    X ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.88/1.25    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.25     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.25    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.25     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.25    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.25     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.88/1.25    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.25    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.25    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.25    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.25    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.88/1.25     [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), X ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.25    X, 'tc_bool' ) ), Y ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.88/1.25    'tc_bool' ) ), X ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.25    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.25     ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.25     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.25    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.88/1.25     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), Y, Z ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.25    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.88/1.25     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.25    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.25     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.25    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.25     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), T ), 
% 0.88/1.25    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 0.88/1.25     ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.25    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.88/1.25    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.88/1.25    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.88/1.25     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.88/1.25    'tc_bool' ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.25    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.88/1.25    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~( 
% 0.88/1.25    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.25     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.88/1.25    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.88/1.25     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.88/1.25    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.88/1.25    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.88/1.25    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Map_Odom'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_COMBK'( 'c_Option_Ooption_ONone'( 
% 0.88/1.25    Z ), 'tc_Option_Ooption'( Z ), Y ) ) ],
% 0.88/1.25     [ =( 'c_Map_Odom'( 'c_COMBK'( 'c_Option_Ooption_ONone'( X ), 
% 0.88/1.25    'tc_Option_Ooption'( X ), Y ), Y, X ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OLocal'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( Z, V2 ), V3 )
% 0.88/1.25    , V4 ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OWhile'( V2, V3 ), V4 ), hAPP( hAPP( W, V2 ), V3 ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.25    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.25    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( T ), W ) ) ), =( hAPP( Y, U ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( T ) ), =( hAPP( Y, U ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( T ), W ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.25    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.25    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.25    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.25    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.25    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.25    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.25    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.88/1.25     [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL( 
% 0.88/1.25    'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, W
% 0.88/1.25    , T, U ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 0.88/1.25    'c_Set_Oimage'( X, W, T, U ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( Y, 
% 0.88/1.25    T ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( X, 
% 0.88/1.25    Z ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ],
% 0.88/1.25     [ 'c_Fun_Oinj__on'( X, 'c_Map_Odom'( X, Y, Z ), Y, 'tc_Option_Ooption'( 
% 0.88/1.25    Z ) ), ~( 'c_Fun_Oinj__on'( 'c_Map_Omap__add'( T, X, Y, Z ), 'c_Map_Odom'( 
% 0.88/1.25    X, Y, Z ), Y, 'tc_Option_Ooption'( Z ) ) ) ],
% 0.88/1.25     [ 'c_Fun_Oinj__on'( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Odom'( Y, Z
% 0.88/1.25    , T ), Z, 'tc_Option_Ooption'( T ) ), ~( 'c_Fun_Oinj__on'( Y, 
% 0.88/1.25    'c_Map_Odom'( Y, Z, T ), Z, 'tc_Option_Ooption'( T ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T, 
% 0.88/1.25    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.25     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.88/1.25    'c_in'( X, T, Z ) ) ) ],
% 0.88/1.25     [ =( 'c_Map_Omap__add'( X, 'c_Fun_Ofun__upd'( Y, Z, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( T ), U ), W, 'tc_Option_Ooption'( T ) ), W, T )
% 0.88/1.25    , 'c_Fun_Ofun__upd'( 'c_Map_Omap__add'( X, Y, W, T ), Z, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( T ), U ), W, 'tc_Option_Ooption'( T ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.88/1.25     ), =( Z, W ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.88/1.25     ), =( Y, U ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.88/1.25     ), =( X, T ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCall'( X, Y, Z ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.25    'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, T ) ), Y ), Z ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( =( hAPP( T, 
% 0.88/1.25    U ), hAPP( 'c_Option_Ooption_OSome'( W ), Y ) ) ), =( 'c_Map_Omap__comp'( 
% 0.88/1.25    X, T, U, W, Z, V0 ), 'c_Option_Ooption_ONone'( Z ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), X ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.25    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.88/1.25    Y, X ), Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.25    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    T, X ), Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.25    'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.25    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.88/1.25    Y, X ), Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.25    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.25    T, X ), Z, X ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.88/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.88/1.25     ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.88/1.25     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.25    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.88/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.88/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.88/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.88/1.25    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.88/1.25    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.88/1.25    , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.88/1.25     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.88/1.25    , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.88/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.88/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.25    X, Z, T ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.25    X, Z, T ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.25    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.25    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.25    'c_Com_Ocom_OCond'( V2, V3, V4 ), V5 ), hAPP( hAPP( hAPP( U, V2 ), V3 ), 
% 0.88/1.25    V4 ) ) ],
% 0.88/1.25     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.25    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.25    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.88/1.25    Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( 
% 0.88/1.25    hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.88/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( 
% 0.88/1.25    hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.88/1.25    hAPP( X, T ) ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.88/1.25    , Y ) ],
% 0.88/1.25     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.88/1.25    , Y ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.25     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.88/1.25    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ), 
% 0.88/1.25    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), hBOOL( 
% 0.88/1.25    'c_in'( U, 'c_Map_Odom'( X, Z, T ), Z ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( X, U ) ), hBOOL( 
% 0.88/1.25    'c_in'( U, 'c_Map_Odom'( Y, Z, T ), Z ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( 
% 0.88/1.25    hAPP( 'c_Natural_Oevalc'( T ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.25    'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ) ), Y ), Z ) ) ) ],
% 0.88/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.88/1.25    Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'( 
% 0.88/1.25    Y, Z, X ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.88/1.25    'c_lessequals'( Z, Y, X ) ],
% 0.88/1.25     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Map_Odom'( X, Y
% 0.88/1.25    , Z ), 'c_Map_Odom'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( 
% 0.88/1.25    'c_Map_Omap__add'( X, T, Y, Z ), 'c_Map_Omap__add'( T, X, Y, Z ) ) ],
% 0.88/1.25     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, hAPP( 'c_Option_Ooption_OSome'( Z ), T
% 0.88/1.25     ), U, 'tc_Option_Ooption'( Z ) ), 'c_Fun_Ofun__upd'( W, Y, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), V0 ), U, 'tc_Option_Ooption'( Z ) ) ) ), 
% 0.88/1.25    =( T, V0 ) ],
% 0.88/1.25     [ =( hAPP( 'c_Option_Othe'( X ), hAPP( 'c_Option_Ooption_OSome'( X ), Y
% 0.88/1.25     ) ), Y ) ],
% 0.88/1.25     [ =( 'c_Option_Ooption_Ooption__rec'( X, Y, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), T ), U, Z ), hAPP( Y, T ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), T ) ) ), =( 
% 0.88/1.25    'c_Fun_Ofun__upd'( X, Y, hAPP( 'c_Option_Ooption_OSome'( Z ), T ), U, 
% 0.88/1.25    'tc_Option_Ooption'( Z ) ), X ) ],
% 0.88/1.25     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, hAPP( 'c_Option_Ooption_OSome'( Z )
% 0.88/1.25    , T ), U, 'tc_Option_Ooption'( Z ) ), Y ), hAPP( 'c_Option_Ooption_OSome'( 
% 0.88/1.25    Z ), T ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), T ) ) ), ~( 
% 0.88/1.25    =( hAPP( U, W ), hAPP( 'c_Option_Ooption_OSome'( V0 ), Y ) ) ), =( 
% 0.88/1.25    'c_Map_Omap__comp'( X, U, W, V0, Z, V1 ), hAPP( 'c_Option_Ooption_OSome'( 
% 0.88/1.25    Z ), T ) ) ],
% 0.88/1.25     [ ~( hBOOL( hAPP( X, 'c_Option_Ooption_Ooption__case'( Y, Z, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( 't_b' ), T ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( 
% 0.88/1.25    X, hAPP( Z, T ) ) ) ],
% 0.88/1.25     [ ~( hBOOL( hAPP( X, 'c_Option_Ooption_Ooption__case'( Y, Z, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( 't_b' ), T ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( 
% 0.88/1.25    X, hAPP( Z, T ) ) ) ],
% 0.88/1.25     [ 'c_Fun_Oinj__on'( 'c_Option_Ooption_OSome'( X ), Y, X, 
% 0.88/1.25    'tc_Option_Ooption'( X ) ) ],
% 0.88/1.25     [ ~( hBOOL( 'c_Option_Ois__none'( hAPP( 'c_Option_Ooption_OSome'( X ), Y
% 0.88/1.25     ), X ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Option_Ooption_OSome'( X ), Y ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( X ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Option_Ooption_OSome'( X ), Y ), 
% 0.88/1.25    'c_Option_Ooption_ONone'( X ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), T ) ) ), =( Y
% 0.88/1.25    , U ), =( hAPP( 'c_Fun_Ofun__upd'( X, U, hAPP( 'c_Option_Ooption_OSome'( 
% 0.88/1.25    Z ), W ), V0, 'tc_Option_Ooption'( Z ) ), Y ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), T ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Fun_Ofun__upd'( X, Y, hAPP( 'c_Option_Ooption_OSome'( Z
% 0.88/1.25     ), T ), U, 'tc_Option_Ooption'( Z ) ), W ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), V0 ) ) ), =( hAPP( X, W ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), V0 ) ), =( T, V0 ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Fun_Ofun__upd'( X, Y, hAPP( 'c_Option_Ooption_OSome'( Z
% 0.88/1.25     ), T ), U, 'tc_Option_Ooption'( Z ) ), W ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), V0 ) ) ), =( hAPP( X, W ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), V0 ) ), =( W, Y ) ],
% 0.88/1.25     [ =( 'c_Option_Ooption_Ooption__case'( X, Y, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), T ), U, Z ), hAPP( Y, T ) ) ],
% 0.88/1.25     [ =( X, Y ), ~( =( hAPP( 'c_Fun_Ofun__upd'( Z, T, hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( U ), X ), W, 'tc_Option_Ooption'( U ) ), T ), 
% 0.88/1.25    hAPP( 'c_Option_Ooption_OSome'( U ), Y ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Option_Ooption_ONone'( X ), hAPP( 'c_Option_Ooption_OSome'( X
% 0.88/1.25     ), Y ) ) ) ],
% 0.88/1.25     [ ~( =( 'c_Option_Ooption_ONone'( X ), hAPP( 'c_Option_Ooption_OSome'( X
% 0.88/1.25     ), Y ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( T ), W ) ) ), =( hAPP( X, U ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( T ), W ) ), =( hAPP( Y, U ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( T ), W ) ) ],
% 0.88/1.25     [ =( 'c_Option_Omap'( X, hAPP( 'c_Option_Ooption_OSome'( Y ), Z ), Y, T
% 0.88/1.25     ), hAPP( 'c_Option_Ooption_OSome'( T ), hAPP( X, Z ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), T ) ) ), =( 
% 0.88/1.25    'c_Map_Omap__comp'( U, X, Y, Z, W, V0 ), hAPP( U, T ) ) ],
% 0.88/1.25     [ ~( hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Option__Xospec__1__1'( hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Y ), Z ), X, Y ) ) ) ), hBOOL( hAPP( X, Z ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), T ) ) ), =( 
% 0.88/1.25    hAPP( 'c_Map_Omap__add'( U, X, W, Z ), Y ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), T ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), T ) ) ), =( 
% 0.88/1.25    hAPP( 'c_Map_Omap__add'( U, X, W, Z ), Y ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( Z ), T ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, hAPP( 
% 0.88/1.25    'c_Com_Ocom_OBODY', V2 ), V3 ), hAPP( V0, V2 ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), hAPP( 'c_Com_Ocom_OBODY', T ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OAss'( Y, Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OLocal'( Y, Z, T ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), hAPP( 'c_Com_Ocom_OBODY', T ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), hAPP( 'c_Com_Ocom_OBODY', T ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OCall'( Y, Z, T ) ) )
% 0.88/1.25     ],
% 0.88/1.25     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, hAPP( 
% 0.88/1.25    'c_Com_Ocom_OBODY', V2 ), V3 ), hAPP( V0, V2 ) ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSKIP', hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y, 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y, 
% 0.88/1.25    T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T, 
% 0.88/1.25    X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y, 
% 0.88/1.25    X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( 'c_Map_Odom'( 'c_COMBK'( hAPP( 'c_Option_Ooption_OSome'( X ), Y ), 
% 0.88/1.25    'tc_Option_Ooption'( X ), Z ), Z, X ), 'c_Orderings_Otop__class_Otop'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), 
% 0.88/1.25    'c_Map_Osko__Map__XdomD__1__1'( Y, X, T, Z ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.25    'c_Map_Odom'( X, T, Z ), T ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) )
% 0.88/1.25    , Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 
% 0.88/1.25    'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z )
% 0.88/1.25     ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 
% 0.88/1.25    'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 0.88/1.25    hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) ), Y ), Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, X, Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, Z, X ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~( 
% 0.88/1.25    'c_Com_OWT'( X ) ) ],
% 0.88/1.25     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Com_OWT'( 'c_Com_Ocom_OCond'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ), 
% 0.88/1.25    ~( 'c_Com_OWT'( Y ) ) ],
% 0.88/1.25     [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.88/1.25     [ 'c_Com_OWT'( 'c_Com_Ocom_OAss'( X, Y ) ) ],
% 0.88/1.25     [ 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( Y, X ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( Y, Z, X ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.25    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 
% 0.88/1.25    'tc_Com_Ostate' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.88/1.25    ~( 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.25    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 
% 0.88/1.25    'tc_Com_Ostate' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), 
% 0.88/1.25    ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.25    , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', Y ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_Hoare__Mirabelle_OMGT', 'v_c' ), 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), 
% 0.88/1.25    'v_c', 'c_Natural_Oevalc'( 'v_c' ), 'tc_Com_Ostate' ) ) ],
% 0.88/1.25     [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, hAPP( 'c_Com_Ocom_OBODY', Z ), T
% 0.88/1.25    , U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ), 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, hAPP( 'c_Com_Ocom_OBODY', Z ), T
% 0.88/1.25    , U ), X, 'tc_Hoare__Mirabelle_Otriple'( U ) ), 'c_Set_Oinsert'( 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, hAPP( 'c_Option_Othe'( 
% 0.88/1.25    'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', Z ) ), T, U ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, hAPP( 'c_Com_Ocom_OBODY', Z ), T
% 0.88/1.25    , U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ), 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.25    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, hAPP( 'c_Option_Othe'( 
% 0.88/1.25    'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', Z ) ), T, U ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.88/1.25     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.88/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), 
% 0.88/1.25    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), 
% 0.88/1.25    'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'( 
% 0.88/1.25    'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBB'( 
% 0.88/1.25    'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y, 
% 0.88/1.25    'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 0.88/1.25    'tc_Com_Ostate' ), ~( 'c_Finite__Set_Ofinite'( Y, 'tc_Com_Opname' ) ), 
% 0.88/1.25    ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 0.88/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'( 
% 0.88/1.25    'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y, 
% 0.88/1.25    'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 0.88/1.25    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.25    , 'c_Set_Oimage'( 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 
% 0.88/1.25    'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'( 
% 0.88/1.25    'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom', 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y, 
% 0.88/1.25    'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 0.88/1.25    'tc_Com_Ostate' ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), T ) ) ), 
% 0.88/1.25    hBOOL( 'c_in'( Y, 'c_Map_Odom'( X, U, Z ), U ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, Y ), hAPP( 'c_Option_Ooption_OSome'( Z ), T ) ) ), =( 
% 0.88/1.25    'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, Z ), U ), 'c_Map_Odom'( X, U, Z )
% 0.88/1.25     ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z, 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T, 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.88/1.25     [ 'c_Com_OWT'( 'c_Com_Ocom_OCall'( X, Y, Z ) ), ~( 'c_Com_OWT'( hAPP( 
% 0.88/1.25    'c_Com_Ocom_OBODY', Y ) ) ) ],
% 0.88/1.25     [ 'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ), ~( 'c_Com_OWT'( 
% 0.88/1.25    'c_Com_Ocom_OCall'( Y, X, Z ) ) ) ],
% 0.88/1.25     [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 0.88/1.25    , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.88/1.25    'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( 
% 0.88/1.25    'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ), X, 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'c_Set_Oinsert'( hAPP( 
% 0.88/1.25    'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.88/1.25    'c_Com_Obody', Y ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.88/1.25    'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.88/1.25    ~( 'c_Com_OWT'( Y ) ), hBOOL( 'c_in'( 
% 0.88/1.25    'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ), 'c_Map_Odom'( 
% 0.88/1.25    'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.88/1.25     [ 'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ), =( hAPP( 'c_Com_Obody', 
% 0.88/1.25    X ), 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.88/1.25    'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.88/1.25    ~( 'c_Com_OWT'( Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 
% 0.88/1.25    'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP( 
% 0.88/1.25    'c_Com_Ocom_OBODY', 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ) ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oimage'( 'c_COMBB'( 
% 0.88/1.25    'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 
% 0.88/1.25    'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 
% 0.88/1.25    'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), X, 
% 0.88/1.25    'tc_Com_Ostate' ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( 'c_COMBB'( 
% 0.88/1.25    'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 
% 0.88/1.25    'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 
% 0.88/1.25    'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody', 
% 0.88/1.25    'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname', 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_fun'( 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ), ~( 
% 0.88/1.25    'c_Com_OWT__bodies' ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( hAPP( 'c_Com_Obody', X ), hAPP( 'c_Option_Ooption_OSome'( 
% 0.88/1.25    'tc_Com_Ocom' ), 'c_Com_Osko__Com__XWTs__elim__cases__7__1'( X ) ) ), ~( 
% 0.88/1.25    'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.25    , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', X ), 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~( 'c_Com_OWT'( X ) ), ~( 
% 0.88/1.25    'c_Com_OWT__bodies' ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Obody', X ), hAPP( 'c_Option_Ooption_OSome'( 
% 0.88/1.25    'tc_Com_Ocom' ), Y ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), 
% 0.88/1.25    'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 0.88/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.88/1.25     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.25     ) ), Y ) ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Option_Ooption_OSome'( X ), Y ), hAPP( 
% 0.88/1.25    'c_Option_Ooption_OSome'( X ), Z ) ) ), =( Y, Z ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.88/1.25     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.25    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.25    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.25    'tc_bool' ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 0.88/1.25    , =( X, Y ) ],
% 0.88/1.25     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.25    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.25     ) ), Z, X ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.88/1.25     [ 'c_Com_OWT__bodies' ],
% 0.88/1.25     [ 'c_Com_OWT'( 'v_c' ) ],
% 0.88/1.25     [ =( hAPP( 'c_Com_Obody', 'v_pn' ), hAPP( 'c_Option_Ooption_OSome'( 
% 0.88/1.25    'tc_Com_Ocom' ), 'v_y' ) ) ],
% 0.88/1.25     [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.25    , 'c_Set_Oimage'( 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 
% 0.88/1.25    'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.25    'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody', 
% 0.88/1.25    'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname', 
% 0.88/1.25    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.25    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.88/1.25     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.25    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.25     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.25    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.25     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.25    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.88/1.25     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.25    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.88/1.25     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.25    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.88/1.25    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.88/1.25     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.25    'class_Orderings_Opreorder'( Y ) ) ],
% 0.88/1.25     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.25    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.25     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.25    'class_Orderings_Oorder'( Y ) ) ],
% 0.88/1.25     [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'( 
% 0.88/1.25    Y ) ) ],
% 0.88/1.25     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.88/1.25    Y ) ) ],
% 0.88/1.25     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.88/1.25     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.88/1.25     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.88/1.25     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.88/1.25     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.25     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.88/1.25     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.25     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.88/1.25     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.88/1.25     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.88/1.25     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~( 
% 0.88/1.25    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.88/1.25     [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.88/1.25     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.88/1.25  ] .
% 0.88/1.25  
% 0.88/1.25  
% 0.88/1.25  percentage equality = 0.410284, percentage horn = 0.925553
% 0.88/1.25  This is a problem with some equality
% 0.88/1.25  
% 0.88/1.25  
% 0.88/1.25  
% 0.88/1.25  Options Used:
% 0.88/1.25  
% 0.88/1.25  useres =            1
% 0.88/1.25  useparamod =        1
% 0.88/1.25  useeqrefl =         1
% 0.88/1.25  useeqfact =         1
% 0.88/1.25  usefactor =         1
% 0.88/1.25  usesimpsplitting =  0
% 0.88/1.25  usesimpdemod =      5
% 0.88/1.25  usesimpres =        3
% 0.88/1.25  
% 0.88/1.25  resimpinuse      =  1000
% 0.88/1.25  resimpclauses =     20000
% 0.88/1.25  substype =          eqrewr
% 0.88/1.25  backwardsubs =      1
% 0.88/1.25  selectoldest =      5
% 0.88/1.25  
% 0.88/1.25  litorderings [0] =  split
% 0.88/1.25  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.88/1.25  
% 0.88/1.25  termordering =      kbo
% 0.88/1.25  
% 0.88/1.25  litapriori =        0
% 0.88/1.25  termapriori =       1
% 0.88/1.25  litaposteriori =    0
% 0.88/1.25  termaposteriori =   0
% 0.88/1.25  demodaposteriori =  0
% 0.88/1.25  ordereqreflfact =   0
% 0.88/1.25  
% 0.88/1.25  litselect =         negord
% 0.88/1.25  
% 0.88/1.25  maxweight =         15
% 0.88/1.25  maxdepth =          30000
% 0.88/1.25  maxlength =         115
% 0.88/1.25  maxnrvars =         195
% 0.88/1.25  excuselevel =       1
% 0.88/1.25  increasemaxweight = 1
% 0.88/1.25  
% 0.88/1.25  maxselected =       10000000
% 0.88/1.25  maxnrclauses =      10000000
% 0.88/1.25  
% 0.88/1.25  showgenerated =    0
% 0.88/1.25  showkept =         0
% 0.88/1.25  showselected =     0
% 0.88/1.25  showdeleted =      0
% 0.88/1.25  showresimp =       1
% 0.88/1.25  showstatus =       2000
% 0.88/1.25  
% 0.88/1.25  prologoutput =     1
% 0.88/1.25  nrgoals =          5000000
% 0.88/1.25  totalproof =       1
% 0.88/1.25  
% 0.88/1.25  Symbols occurring in the translation:
% 0.88/1.25  
% 0.88/1.25  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.88/1.25  .  [1, 2]      (w:1, o:144, a:1, s:1, b:0), 
% 0.88/1.25  !  [4, 1]      (w:0, o:112, a:1, s:1, b:0), 
% 0.88/1.25  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.25  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.25  'c_Com_Ocom_OSemi'  [41, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 0.88/1.25  'c_Com_Ocom_OWhile'  [46, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.88/1.25  'class_Complete__Lattice_Ocomplete__lattice'  [48, 1]      (w:1, o:117, a:1
% 0.88/1.25    , s:1, b:0), 
% 0.88/1.25  'c_Set_Oinsert'  [51, 3]      (w:1, o:177, a:1, s:1, b:0), 
% 0.88/1.25  'c_Complete__Lattice_OSup__class_OSup'  [52, 2]      (w:1, o:171, a:1, s:1
% 0.88/1.25    , b:0), 
% 0.88/1.25  'c_Lattices_Oupper__semilattice__class_Osup'  [53, 3]      (w:1, o:178, a:1
% 0.88/1.25    , s:1, b:0), 
% 0.88/1.25  'class_Lattices_Obounded__lattice'  [54, 1]      (w:1, o:118, a:1, s:1, b:0
% 0.88/1.25    ), 
% 0.88/1.25  'c_Orderings_Otop__class_Otop'  [56, 1]      (w:1, o:120, a:1, s:1, b:0), 
% 0.88/1.25  'tc_bool'  [57, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 0.88/1.25  'tc_fun'  [58, 2]      (w:1, o:172, a:1, s:1, b:0), 
% 0.88/1.25  'c_Com_Ocom_OCond'  [60, 3]      (w:1, o:179, a:1, s:1, b:0), 
% 0.88/1.25  'c_Natural_Oevalc'  [64, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 0.88/1.25  hAPP  [66, 2]      (w:1, o:173, a:1, s:1, b:0), 
% 0.88/1.25  hBOOL  [67, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 0.88/1.25  'c_Com_Ocom_OLocal'  [71, 3]      (w:1, o:180, a:1, s:1, b:0), 
% 0.88/1.25  'c_Com_Ocom_OSKIP'  [72, 0]      (w:1, o:35, a:1, s:1, b:0), 
% 0.88/1.25  'c_Option_Ooption_OSome'  [76, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 0.88/1.25  'tc_Option_Ooption'  [78, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 0.88/1.25  'c_Fun_Ofun__upd'  [79, 5]      (w:1, o:196, a:1, s:1, b:0), 
% 4.42/4.82  'c_Map_Omap__add'  [81, 4]      (w:1, o:190, a:1, s:1, b:0), 
% 4.42/4.82  'c_Map_Odom'  [82, 3]      (w:1, o:182, a:1, s:1, b:0), 
% 4.42/4.82  'c_in'  [83, 3]      (w:1, o:183, a:1, s:1, b:0), 
% 4.42/4.82  'c_Com_Ocom_Ocom__rec'  [92, 10]      (w:1, o:202, a:1, s:1, b:0), 
% 4.42/4.82  'c_Com_Ocom_OCall'  [95, 3]      (w:1, o:184, a:1, s:1, b:0), 
% 4.42/4.82  'c_Com_Ocom_OAss'  [98, 2]      (w:1, o:174, a:1, s:1, b:0), 
% 4.42/4.82  'c_lessequals'  [99, 3]      (w:1, o:185, a:1, s:1, b:0), 
% 4.42/4.82  'c_Fun_Oinj__on'  [101, 4]      (w:1, o:191, a:1, s:1, b:0), 
% 4.42/4.82  'c_Set_Oimage'  [102, 4]      (w:1, o:192, a:1, s:1, b:0), 
% 4.42/4.82  'c_Lattices_Olower__semilattice__class_Oinf'  [103, 3]      (w:1, o:181, a:
% 4.42/4.82    1, s:1, b:0), 
% 4.42/4.82  'c_Finite__Set_Ofinite'  [104, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 4.42/4.82  'c_COMBK'  [105, 3]      (w:1, o:186, a:1, s:1, b:0), 
% 4.42/4.82  'c_Orderings_Obot__class_Obot'  [106, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 4.42/4.82    
% 4.42/4.82  'class_Lattices_Olattice'  [107, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 4.42/4.82  't_a'  [109, 0]      (w:1, o:66, a:1, s:1, b:0), 
% 4.42/4.82  'v_x'  [110, 0]      (w:1, o:67, a:1, s:1, b:0), 
% 4.42/4.83  'class_Lattices_Odistrib__lattice'  [111, 1]      (w:1, o:126, a:1, s:1, b:
% 4.42/4.83    0), 
% 4.42/4.83  'class_Lattices_Oupper__semilattice'  [114, 1]      (w:1, o:127, a:1, s:1
% 4.42/4.83    , b:0), 
% 4.42/4.83  'c_Com_Ocom_Ocom__case'  [115, 10]      (w:1, o:203, a:1, s:1, b:0), 
% 4.42/4.83  'c_Option_Ooption_ONone'  [116, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 4.42/4.83  't_b'  [120, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 4.42/4.83  'c_Option_Ooption_Ooption__case'  [121, 5]      (w:1, o:197, a:1, s:1, b:0)
% 4.42/4.83    , 
% 4.42/4.83  'c_Option_Ooption_Ooption__rec'  [129, 5]      (w:1, o:198, a:1, s:1, b:0)
% 4.42/4.83    , 
% 4.42/4.83  'class_Lattices_Olower__semilattice'  [131, 1]      (w:1, o:129, a:1, s:1
% 4.42/4.83    , b:0), 
% 4.42/4.83  'c_Map_Omap__comp'  [138, 6]      (w:1, o:200, a:1, s:1, b:0), 
% 4.42/4.83  'c_Option_Omap'  [144, 4]      (w:1, o:193, a:1, s:1, b:0), 
% 4.42/4.83  'c_Hoare__Mirabelle_Otriple_Otriple'  [146, 4]      (w:1, o:194, a:1, s:1
% 4.42/4.83    , b:0), 
% 4.42/4.83  'tc_Hoare__Mirabelle_Otriple'  [147, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 4.42/4.83  'c_Hoare__Mirabelle_Ohoare__derivs'  [148, 3]      (w:1, o:187, a:1, s:1
% 4.42/4.83    , b:0), 
% 4.42/4.83  'class_Orderings_Otop'  [149, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 4.42/4.83  'class_Orderings_Oorder'  [151, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 4.42/4.83  'c_Option_Ois__none'  [152, 2]      (w:1, o:176, a:1, s:1, b:0), 
% 4.42/4.83  'class_Finite__Set_Ofinite_Ofinite'  [158, 1]      (w:1, o:133, a:1, s:1
% 4.42/4.83    , b:0), 
% 4.42/4.83  'c_Hoare__Mirabelle_OMGT'  [159, 0]      (w:1, o:92, a:1, s:1, b:0), 
% 4.42/4.83  'tc_Com_Ostate'  [160, 0]      (w:1, o:93, a:1, s:1, b:0), 
% 4.42/4.83  'c_fequal'  [161, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 4.42/4.83  'class_HOL_Oord'  [164, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 4.42/4.83  'class_Orderings_Obot'  [165, 1]      (w:1, o:136, a:1, s:1, b:0), 
% 4.42/4.83  'c_COMBB'  [166, 5]      (w:1, o:199, a:1, s:1, b:0), 
% 4.42/4.83  'class_Orderings_Opreorder'  [170, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 4.42/4.83  'class_Orderings_Olinorder'  [171, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 4.42/4.83  'c_Option_Othe'  [172, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 4.42/4.83  'c_ATP__Linkup_Osko__Option__Xospec__1__1'  [176, 3]      (w:1, o:188, a:1
% 4.42/4.83    , s:1, b:0), 
% 4.42/4.83  'c_Com_Ocom_OBODY'  [178, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 4.42/4.83  'c_Hoare__Mirabelle_Ohoare__valids'  [182, 3]      (w:1, o:189, a:1, s:1
% 4.42/4.83    , b:0), 
% 4.42/4.83  'c_Map_Osko__Map__XdomD__1__1'  [183, 4]      (w:1, o:195, a:1, s:1, b:0), 
% 4.42/4.83    
% 4.42/4.83  'tc_Com_Ocom'  [185, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 4.42/4.83  'c_Com_Obody'  [186, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 4.42/4.83  'c_Com_OWT'  [187, 1]      (w:1, o:140, a:1, s:1, b:0), 
% 4.42/4.83  'v_c'  [190, 0]      (w:1, o:103, a:1, s:1, b:0), 
% 4.42/4.83  'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'  [191, 1]      (w:1, o:141
% 4.42/4.83    , a:1, s:1, b:0), 
% 4.42/4.83  'c_Hoare__Mirabelle_Ostate__not__singleton'  [192, 0]      (w:1, o:104, a:1
% 4.42/4.83    , s:1, b:0), 
% 4.42/4.83  'tc_Com_Opname'  [193, 0]      (w:1, o:105, a:1, s:1, b:0), 
% 4.42/4.83  'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'  [195, 1]      (w:1, o:142, a:1
% 4.42/4.83    , s:1, b:0), 
% 4.42/4.83  'c_Com_OWT__bodies'  [196, 0]      (w:1, o:106, a:1, s:1, b:0), 
% 4.42/4.83  'c_Com_Osko__Com__XWTs__elim__cases__7__1'  [197, 1]      (w:1, o:143, a:1
% 4.42/4.83    , s:1, b:0), 
% 4.42/4.83  'v_pn'  [198, 0]      (w:1, o:107, a:1, s:1, b:0), 
% 4.42/4.83  'v_y'  [199, 0]      (w:1, o:108, a:1, s:1, b:0), 
% 4.42/4.83  'tc_nat'  [202, 0]      (w:1, o:111, a:1, s:1, b:0), 
% 4.42/4.83  'c_COMBC'  [203, 6]      (w:1, o:201, a:1, s:1, b:0).
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Starting Search:
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    6017
% 30.69/31.08  Kept:         2020
% 30.69/31.08  Inuse:        146
% 30.69/31.08  Deleted:      4
% 30.69/31.08  Deletedinuse: 0
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    12080
% 30.69/31.08  Kept:         4020
% 30.69/31.08  Inuse:        223
% 30.69/31.08  Deleted:      4
% 30.69/31.08  Deletedinuse: 0
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    22420
% 30.69/31.08  Kept:         6035
% 30.69/31.08  Inuse:        329
% 30.69/31.08  Deleted:      8
% 30.69/31.08  Deletedinuse: 1
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    31240
% 30.69/31.08  Kept:         8437
% 30.69/31.08  Inuse:        422
% 30.69/31.08  Deleted:      9
% 30.69/31.08  Deletedinuse: 1
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    40802
% 30.69/31.08  Kept:         11232
% 30.69/31.08  Inuse:        482
% 30.69/31.08  Deleted:      10
% 30.69/31.08  Deletedinuse: 1
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    48735
% 30.69/31.08  Kept:         13258
% 30.69/31.08  Inuse:        510
% 30.69/31.08  Deleted:      10
% 30.69/31.08  Deletedinuse: 1
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    58787
% 30.69/31.08  Kept:         15377
% 30.69/31.08  Inuse:        524
% 30.69/31.08  Deleted:      10
% 30.69/31.08  Deletedinuse: 1
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    66322
% 30.69/31.08  Kept:         17380
% 30.69/31.08  Inuse:        544
% 30.69/31.08  Deleted:      10
% 30.69/31.08  Deletedinuse: 1
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    76677
% 30.69/31.08  Kept:         19438
% 30.69/31.08  Inuse:        580
% 30.69/31.08  Deleted:      12
% 30.69/31.08  Deletedinuse: 1
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying clauses:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    88232
% 30.69/31.08  Kept:         21478
% 30.69/31.08  Inuse:        615
% 30.69/31.08  Deleted:      60
% 30.69/31.08  Deletedinuse: 1
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    103015
% 30.69/31.08  Kept:         23745
% 30.69/31.08  Inuse:        665
% 30.69/31.08  Deleted:      60
% 30.69/31.08  Deletedinuse: 1
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    109261
% 30.69/31.08  Kept:         25763
% 30.69/31.08  Inuse:        675
% 30.69/31.08  Deleted:      62
% 30.69/31.08  Deletedinuse: 3
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    116619
% 30.69/31.08  Kept:         27763
% 30.69/31.08  Inuse:        695
% 30.69/31.08  Deleted:      62
% 30.69/31.08  Deletedinuse: 3
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    122230
% 30.69/31.08  Kept:         29940
% 30.69/31.08  Inuse:        719
% 30.69/31.08  Deleted:      62
% 30.69/31.08  Deletedinuse: 3
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    137277
% 30.69/31.08  Kept:         32532
% 30.69/31.08  Inuse:        740
% 30.69/31.08  Deleted:      64
% 30.69/31.08  Deletedinuse: 5
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    151774
% 30.69/31.08  Kept:         34606
% 30.69/31.08  Inuse:        750
% 30.69/31.08  Deleted:      64
% 30.69/31.08  Deletedinuse: 5
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    161393
% 30.69/31.08  Kept:         36730
% 30.69/31.08  Inuse:        785
% 30.69/31.08  Deleted:      65
% 30.69/31.08  Deletedinuse: 6
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    166611
% 30.69/31.08  Kept:         38786
% 30.69/31.08  Inuse:        796
% 30.69/31.08  Deleted:      65
% 30.69/31.08  Deletedinuse: 6
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying clauses:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    171481
% 30.69/31.08  Kept:         40912
% 30.69/31.08  Inuse:        808
% 30.69/31.08  Deleted:      220
% 30.69/31.08  Deletedinuse: 6
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    186332
% 30.69/31.08  Kept:         43241
% 30.69/31.08  Inuse:        815
% 30.69/31.08  Deleted:      220
% 30.69/31.08  Deletedinuse: 6
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    198397
% 30.69/31.08  Kept:         45453
% 30.69/31.08  Inuse:        826
% 30.69/31.08  Deleted:      220
% 30.69/31.08  Deletedinuse: 6
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    204938
% 30.69/31.08  Kept:         47528
% 30.69/31.08  Inuse:        839
% 30.69/31.08  Deleted:      220
% 30.69/31.08  Deletedinuse: 6
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    211138
% 30.69/31.08  Kept:         49640
% 30.69/31.08  Inuse:        852
% 30.69/31.08  Deleted:      220
% 30.69/31.08  Deletedinuse: 6
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  Resimplifying inuse:
% 30.69/31.08  Done
% 30.69/31.08  
% 30.69/31.08  
% 30.69/31.08  Intermediate Status:
% 30.69/31.08  Generated:    219524
% 30.69/31.08  Kept:         51689
% 30.69/31.08  Inuse:        878
% 30.69/31.08  Deleted:      220
% 30.69/31.08  Deletedinuse: 6
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    230578
% 77.33/77.74  Kept:         54696
% 77.33/77.74  Inuse:        885
% 77.33/77.74  Deleted:      220
% 77.33/77.74  Deletedinuse: 6
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    240760
% 77.33/77.74  Kept:         57319
% 77.33/77.74  Inuse:        890
% 77.33/77.74  Deleted:      220
% 77.33/77.74  Deletedinuse: 6
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    251167
% 77.33/77.74  Kept:         59403
% 77.33/77.74  Inuse:        925
% 77.33/77.74  Deleted:      221
% 77.33/77.74  Deletedinuse: 7
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying clauses:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    260938
% 77.33/77.74  Kept:         61430
% 77.33/77.74  Inuse:        956
% 77.33/77.74  Deleted:      268
% 77.33/77.74  Deletedinuse: 8
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    269877
% 77.33/77.74  Kept:         63499
% 77.33/77.74  Inuse:        980
% 77.33/77.74  Deleted:      269
% 77.33/77.74  Deletedinuse: 9
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    279638
% 77.33/77.74  Kept:         69331
% 77.33/77.74  Inuse:        985
% 77.33/77.74  Deleted:      270
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    288572
% 77.33/77.74  Kept:         71348
% 77.33/77.74  Inuse:        1008
% 77.33/77.74  Deleted:      270
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    300839
% 77.33/77.74  Kept:         73770
% 77.33/77.74  Inuse:        1030
% 77.33/77.74  Deleted:      270
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    310522
% 77.33/77.74  Kept:         75802
% 77.33/77.74  Inuse:        1044
% 77.33/77.74  Deleted:      270
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    345091
% 77.33/77.74  Kept:         80017
% 77.33/77.74  Inuse:        1050
% 77.33/77.74  Deleted:      270
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    377553
% 77.33/77.74  Kept:         83544
% 77.33/77.74  Inuse:        1055
% 77.33/77.74  Deleted:      270
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying clauses:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    391227
% 77.33/77.74  Kept:         85570
% 77.33/77.74  Inuse:        1083
% 77.33/77.74  Deleted:      430
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    411706
% 77.33/77.74  Kept:         88146
% 77.33/77.74  Inuse:        1095
% 77.33/77.74  Deleted:      430
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    424193
% 77.33/77.74  Kept:         90197
% 77.33/77.74  Inuse:        1108
% 77.33/77.74  Deleted:      430
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    436690
% 77.33/77.74  Kept:         92339
% 77.33/77.74  Inuse:        1120
% 77.33/77.74  Deleted:      430
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    452803
% 77.33/77.74  Kept:         95303
% 77.33/77.74  Inuse:        1140
% 77.33/77.74  Deleted:      430
% 77.33/77.74  Deletedinuse: 10
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    470224
% 77.33/77.74  Kept:         97318
% 77.33/77.74  Inuse:        1153
% 77.33/77.74  Deleted:      431
% 77.33/77.74  Deletedinuse: 11
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    484134
% 77.33/77.74  Kept:         99420
% 77.33/77.74  Inuse:        1175
% 77.33/77.74  Deleted:      431
% 77.33/77.74  Deletedinuse: 11
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    495667
% 77.33/77.74  Kept:         101432
% 77.33/77.74  Inuse:        1198
% 77.33/77.74  Deleted:      432
% 77.33/77.74  Deletedinuse: 12
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    502593
% 77.33/77.74  Kept:         103445
% 77.33/77.74  Inuse:        1212
% 77.33/77.74  Deleted:      432
% 77.33/77.74  Deletedinuse: 12
% 77.33/77.74  
% 77.33/77.74  Resimplifying clauses:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    529694
% 77.33/77.74  Kept:         109074
% 77.33/77.74  Inuse:        1235
% 77.33/77.74  Deleted:      534
% 77.33/77.74  Deletedinuse: 12
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    546539
% 77.33/77.74  Kept:         113318
% 77.33/77.74  Inuse:        1240
% 77.33/77.74  Deleted:      534
% 77.33/77.74  Deletedinuse: 12
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    557974
% 77.33/77.74  Kept:         115422
% 77.33/77.74  Inuse:        1260
% 77.33/77.74  Deleted:      534
% 77.33/77.74  Deletedinuse: 12
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    569833
% 77.33/77.74  Kept:         117460
% 77.33/77.74  Inuse:        1280
% 77.33/77.74  Deleted:      534
% 77.33/77.74  Deletedinuse: 12
% 77.33/77.74  
% 77.33/77.74  Resimplifying inuse:
% 77.33/77.74  Done
% 77.33/77.74  
% 77.33/77.74  
% 77.33/77.74  Intermediate Status:
% 77.33/77.74  Generated:    585631
% 77.33/77.74  Kept:         119543
% 77.33/77.74  Inuse:        1290
% 171.09/171.51  Deleted:      534
% 171.09/171.51  Deletedinuse: 12
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    612835
% 171.09/171.51  Kept:         122623
% 171.09/171.51  Inuse:        1300
% 171.09/171.51  Deleted:      534
% 171.09/171.51  Deletedinuse: 12
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    630623
% 171.09/171.51  Kept:         125559
% 171.09/171.51  Inuse:        1315
% 171.09/171.51  Deleted:      534
% 171.09/171.51  Deletedinuse: 12
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying clauses:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    645263
% 171.09/171.51  Kept:         127564
% 171.09/171.51  Inuse:        1351
% 171.09/171.51  Deleted:      565
% 171.09/171.51  Deletedinuse: 12
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    659986
% 171.09/171.51  Kept:         129594
% 171.09/171.51  Inuse:        1390
% 171.09/171.51  Deleted:      566
% 171.09/171.51  Deletedinuse: 13
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    687473
% 171.09/171.51  Kept:         133584
% 171.09/171.51  Inuse:        1415
% 171.09/171.51  Deleted:      566
% 171.09/171.51  Deletedinuse: 13
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    708600
% 171.09/171.51  Kept:         137288
% 171.09/171.51  Inuse:        1430
% 171.09/171.51  Deleted:      566
% 171.09/171.51  Deletedinuse: 13
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    719601
% 171.09/171.51  Kept:         139614
% 171.09/171.51  Inuse:        1455
% 171.09/171.51  Deleted:      566
% 171.09/171.51  Deletedinuse: 13
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    741075
% 171.09/171.51  Kept:         141795
% 171.09/171.51  Inuse:        1475
% 171.09/171.51  Deleted:      568
% 171.09/171.51  Deletedinuse: 15
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    774344
% 171.09/171.51  Kept:         146160
% 171.09/171.51  Inuse:        1495
% 171.09/171.51  Deleted:      568
% 171.09/171.51  Deletedinuse: 15
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying clauses:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    801853
% 171.09/171.51  Kept:         148235
% 171.09/171.51  Inuse:        1510
% 171.09/171.51  Deleted:      1303
% 171.09/171.51  Deletedinuse: 15
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    813673
% 171.09/171.51  Kept:         150348
% 171.09/171.51  Inuse:        1530
% 171.09/171.51  Deleted:      1303
% 171.09/171.51  Deletedinuse: 15
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    825603
% 171.09/171.51  Kept:         152464
% 171.09/171.51  Inuse:        1560
% 171.09/171.51  Deleted:      1303
% 171.09/171.51  Deletedinuse: 15
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    845298
% 171.09/171.51  Kept:         155110
% 171.09/171.51  Inuse:        1573
% 171.09/171.51  Deleted:      1312
% 171.09/171.51  Deletedinuse: 17
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    848245
% 171.09/171.51  Kept:         157172
% 171.09/171.51  Inuse:        1576
% 171.09/171.51  Deleted:      1316
% 171.09/171.51  Deletedinuse: 17
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    856232
% 171.09/171.51  Kept:         159675
% 171.09/171.51  Inuse:        1581
% 171.09/171.51  Deleted:      1317
% 171.09/171.51  Deletedinuse: 18
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    863252
% 171.09/171.51  Kept:         161955
% 171.09/171.51  Inuse:        1586
% 171.09/171.51  Deleted:      1320
% 171.09/171.51  Deletedinuse: 18
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    875368
% 171.09/171.51  Kept:         164594
% 171.09/171.51  Inuse:        1601
% 171.09/171.51  Deleted:      1321
% 171.09/171.51  Deletedinuse: 19
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying clauses:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    885939
% 171.09/171.51  Kept:         166852
% 171.09/171.51  Inuse:        1616
% 171.09/171.51  Deleted:      1470
% 171.09/171.51  Deletedinuse: 19
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    895979
% 171.09/171.51  Kept:         169155
% 171.09/171.51  Inuse:        1626
% 171.09/171.51  Deleted:      1474
% 171.09/171.51  Deletedinuse: 23
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    903519
% 171.09/171.51  Kept:         171211
% 171.09/171.51  Inuse:        1638
% 171.09/171.51  Deleted:      1475
% 171.09/171.51  Deletedinuse: 24
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    915169
% 171.09/171.51  Kept:         173482
% 171.09/171.51  Inuse:        1646
% 171.09/171.51  Deleted:      1475
% 171.09/171.51  Deletedinuse: 24
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    944297
% 171.09/171.51  Kept:         180346
% 171.09/171.51  Inuse:        1666
% 171.09/171.51  Deleted:      1476
% 171.09/171.51  Deletedinuse: 25
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  
% 171.09/171.51  Intermediate Status:
% 171.09/171.51  Generated:    969889
% 171.09/171.51  Kept:         191879
% 171.09/171.51  Inuse:        1681
% 171.09/171.51  Deleted:      1476
% 171.09/171.51  Deletedinuse: 25
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying clauses:
% 171.09/171.51  Done
% 171.09/171.51  
% 171.09/171.51  Resimplifying inuse:
% 171.09/171.51  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    999350
% 231.39/231.82  Kept:         193903
% 231.39/231.82  Inuse:        1707
% 231.39/231.82  Deleted:      1920
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1085406
% 231.39/231.82  Kept:         195938
% 231.39/231.82  Inuse:        1732
% 231.39/231.82  Deleted:      1920
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1096822
% 231.39/231.82  Kept:         198352
% 231.39/231.82  Inuse:        1744
% 231.39/231.82  Deleted:      1920
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1134086
% 231.39/231.82  Kept:         200398
% 231.39/231.82  Inuse:        1769
% 231.39/231.82  Deleted:      1920
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1155342
% 231.39/231.82  Kept:         202468
% 231.39/231.82  Inuse:        1790
% 231.39/231.82  Deleted:      1920
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1204641
% 231.39/231.82  Kept:         204491
% 231.39/231.82  Inuse:        1825
% 231.39/231.82  Deleted:      1922
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1244165
% 231.39/231.82  Kept:         206511
% 231.39/231.82  Inuse:        1888
% 231.39/231.82  Deleted:      1922
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1282044
% 231.39/231.82  Kept:         212804
% 231.39/231.82  Inuse:        1941
% 231.39/231.82  Deleted:      1922
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying clauses:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1320035
% 231.39/231.82  Kept:         219063
% 231.39/231.82  Inuse:        1982
% 231.39/231.82  Deleted:      1967
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1418177
% 231.39/231.82  Kept:         221131
% 231.39/231.82  Inuse:        2025
% 231.39/231.82  Deleted:      1967
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1440935
% 231.39/231.82  Kept:         227024
% 231.39/231.82  Inuse:        2041
% 231.39/231.82  Deleted:      1967
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1481296
% 231.39/231.82  Kept:         229129
% 231.39/231.82  Inuse:        2092
% 231.39/231.82  Deleted:      1967
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1498831
% 231.39/231.82  Kept:         231142
% 231.39/231.82  Inuse:        2121
% 231.39/231.82  Deleted:      1967
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1507811
% 231.39/231.82  Kept:         233479
% 231.39/231.82  Inuse:        2128
% 231.39/231.82  Deleted:      1967
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying clauses:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1515012
% 231.39/231.82  Kept:         235738
% 231.39/231.82  Inuse:        2132
% 231.39/231.82  Deleted:      1980
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1522061
% 231.39/231.82  Kept:         237749
% 231.39/231.82  Inuse:        2137
% 231.39/231.82  Deleted:      1980
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1558754
% 231.39/231.82  Kept:         239750
% 231.39/231.82  Inuse:        2165
% 231.39/231.82  Deleted:      1980
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1602739
% 231.39/231.82  Kept:         241789
% 231.39/231.82  Inuse:        2203
% 231.39/231.82  Deleted:      1980
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1629151
% 231.39/231.82  Kept:         243834
% 231.39/231.82  Inuse:        2236
% 231.39/231.82  Deleted:      1980
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1663044
% 231.39/231.82  Kept:         245894
% 231.39/231.82  Inuse:        2271
% 231.39/231.82  Deleted:      1980
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1704807
% 231.39/231.82  Kept:         247904
% 231.39/231.82  Inuse:        2322
% 231.39/231.82  Deleted:      1980
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1740111
% 231.39/231.82  Kept:         249971
% 231.39/231.82  Inuse:        2355
% 231.39/231.82  Deleted:      1980
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1782160
% 231.39/231.82  Kept:         252227
% 231.39/231.82  Inuse:        2379
% 231.39/231.82  Deleted:      1981
% 231.39/231.82  Deletedinuse: 25
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying inuse:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  Resimplifying clauses:
% 231.39/231.82  Done
% 231.39/231.82  
% 231.39/231.82  
% 231.39/231.82  Intermediate Status:
% 231.39/231.82  Generated:    1795636
% 231.39/231.82  Kept:         254244
% 231.39/231.82  Inuse:        2396
% 231.39/231.82  DeletCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------