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Bliksem---1.12.TMO-Non.f

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV893-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n005.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 16:29:04 EDT 2022

% Result   : Timeout 300.04s 300.39s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV893-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Tue Jun 14 20:14:09 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.88/1.24  *** allocated 10000 integers for termspace/termends
% 0.88/1.24  *** allocated 10000 integers for clauses
% 0.88/1.24  *** allocated 10000 integers for justifications
% 0.88/1.24  Bliksem 1.12
% 0.88/1.24  
% 0.88/1.24  
% 0.88/1.24  Automatic Strategy Selection
% 0.88/1.24  
% 0.88/1.24  Clauses:
% 0.88/1.24  [
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.88/1.24    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.24    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.88/1.24    , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.88/1.24    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.88/1.24    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.88/1.24    Y, Z ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.88/1.24    'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 
% 0.88/1.24    'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.88/1.24    , 'tc_bool' ) ), T ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.88/1.24    , 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.88/1.24    'c_in'( X, T, Z ) ],
% 0.88/1.24     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.88/1.24    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.88/1.24    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.88/1.24    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.88/1.24     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24    , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~( 
% 0.88/1.24    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), 
% 0.88/1.24    ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24    , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.24     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24    , T, X ) ) ), =( Z, T ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.24     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~( 
% 0.88/1.24    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.88/1.24     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.24     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.88/1.24    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.88/1.24    , Z ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.88/1.24    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.88/1.24    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), 'c_Set_Oinsert'( Y
% 0.88/1.24    , U, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_Map_Odom'( X, T, Z ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.88/1.24    , =( Z, W ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.88/1.24    , =( Y, U ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.88/1.24    , =( X, T ) ],
% 0.88/1.24     [ =( 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.24    'c_Com_Ocom_OSemi'( V2, V3 ), V4 ), hAPP( hAPP( hAPP( hAPP( T, V2 ), V3 )
% 0.88/1.24    , 'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V2, V4 ) ), 
% 0.88/1.24    'c_Com_Ocom_Ocom__rec'( X, Y, Z, T, U, W, V0, V1, V3, V4 ) ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) )
% 0.88/1.24     ],
% 0.88/1.24     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ), 
% 0.88/1.24    Z ), Z ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.88/1.24    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.88/1.24    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.88/1.24    , T ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.88/1.24    , Z ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'( 
% 0.88/1.24    X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Orderings_Otop__class_Otop'( X ), Y, X ), 
% 0.88/1.24    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.24    X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24     ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.88/1.24    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.88/1.24    X, T ), Y ) ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.88/1.24    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.88/1.24    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.88/1.24    'tc_bool' ) ), X ) ],
% 0.88/1.24     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.24    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, hAPP( 'c_Com_Ocom_OBODY', Z ), T
% 0.88/1.24    , U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.24    'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ), 
% 0.88/1.24    'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~( 
% 0.88/1.24    'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( 
% 0.88/1.24    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, hAPP( 'c_Com_Ocom_OBODY', Z ), T
% 0.88/1.24    , U ), X, 'tc_Hoare__Mirabelle_Otriple'( U ) ), 'c_Set_Oinsert'( 
% 0.88/1.24    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( hAPP( 
% 0.88/1.24    'c_Com_Obody', Z ), 'tc_Com_Ocom' ), T, U ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.24    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.24    , =( Z, W ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.24    , =( Y, U ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.24    , =( X, T ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.88/1.24     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.88/1.24     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.88/1.24     [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24    , Y ) ],
% 0.88/1.24     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.24     ],
% 0.88/1.24     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.88/1.24     ) ) ), =( X, Z ) ],
% 0.88/1.24     [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.88/1.24     ) ],
% 0.88/1.24     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), 'c_in'( Y, 
% 0.88/1.24    'c_Map_Odom'( X, U, T ), U ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.24     [ =( 'c_Com_Ocom_Ocom__case'( X, Y, Z, T, U, W, V0, V1, 
% 0.88/1.24    'c_Com_Ocom_OSKIP', V2 ), X ) ],
% 0.88/1.24     [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) )
% 0.88/1.24     ],
% 0.88/1.24     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( 'c_in'( Y, 
% 0.88/1.24    'c_Map_Odom'( X, T, Z ), T ) ) ],
% 0.88/1.24     [ 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ), =( hAPP( Y, X ), 
% 0.88/1.24    'c_Option_Ooption_ONone'( T ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), Y ) ) ],
% 0.88/1.24     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), Y ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.24    X, 'tc_bool' ) ), Y ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), X ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.24    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSemi'( Z, T ), U, W
% 0.88/1.24     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.24    'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ), 
% 0.88/1.24    'tc_Hoare__Mirabelle_Otriple'( W ) ), W ), ~( 
% 0.88/1.24    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.24    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, U, W ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.24    W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ), ~( 
% 0.88/1.24    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.88/1.24    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, V0, W ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.24    W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ) ],
% 0.88/1.24     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24     ) ), Y ) ) ) ],
% 0.88/1.24     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.24    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.88/1.24    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OLocal'( X, Y, Z ) ) ) ],
% 0.88/1.24     [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.24     ), Y ) ) ],
% 0.88/1.24     [ =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( U, Y, Z, T ) ), 
% 0.88/1.24    'c_in'( 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, U, Z, T ), Y
% 0.88/1.24    , Z ) ],
% 0.88/1.24     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.24    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 
% 0.88/1.24    'tc_Com_Ostate' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.24    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.88/1.24    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.88/1.24    ~( 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.24    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 
% 0.88/1.24    'tc_Com_Ostate' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.24    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.88/1.24    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), 
% 0.88/1.24    ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.88/1.24    , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', Y ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.24    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.88/1.24    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.88/1.24     [ =( hAPP( X, 'c_Map_Osko__Map__Xfinite__map__freshness__1__1'( X, Y, Z
% 0.88/1.24     ) ), 'c_Option_Ooption_ONone'( Z ) ), 'c_Finite__Set_Ofinite'( 
% 0.88/1.24    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 
% 0.88/1.24    'c_Finite__Set_Ofinite'( 'c_Map_Odom'( X, Y, Z ), Y ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ), 
% 0.88/1.24    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24     ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.25    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 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_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     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 
% 0.88/1.25    'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 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 ) ), ~( 
% 0.88/1.25    'c_in'( U, T, Z ) ) ],
% 0.88/1.25     [ =( X, Y ), ~( '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     [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.88/1.25     [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 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     [ '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, 'c_Option_Othe'( hAPP( 
% 0.88/1.25    'c_Com_Obody', Z ), 'tc_Com_Ocom' ), 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_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.25     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.25     [ '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_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.88/1.25     [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 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     [ '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     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.88/1.25     ) ) ],
% 0.88/1.25     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 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_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     [ 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     [ 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     [ '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     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( 
% 0.88/1.25    'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U, T )
% 0.88/1.25     ) ],
% 0.88/1.25     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 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_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 ) ) ), ~( 'c_in'( Y, 
% 0.88/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 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_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 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_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.88/1.25     ) ],
% 0.88/1.25     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y, 
% 0.88/1.25    '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 ) ), ~( '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' ) ) ), 'c_in'( Y, X
% 0.88/1.25    , T ) ],
% 0.88/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ), 
% 0.88/1.25    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.25     ) ) ) ],
% 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' ) ) ), 'c_in'( Y, X
% 0.88/1.25    , T ) ],
% 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' ) ) ), 'c_in'( T, X
% 0.88/1.25    , Z ) ],
% 0.88/1.25     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.88/1.25    'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 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     [ ~( '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_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.88/1.25    , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 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     [ =( '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 ), ~( 'c_in'( X, Y, Z ) ) ],
% 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_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     [ =( 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_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     [ =( '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_Fun_Oid'( X ), Y ), 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_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     [ ~( '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_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.88/1.25    , Z ) ) ],
% 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_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     [ ~( =( '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_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 ), =( 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 ), =( Y, U ) ],
% 0.88/1.25     [ 'c_Fun_Obij__betw'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, V0, U, T ), ~( 
% 0.88/1.25    'c_Fun_Obij__betw'( X, V1, V0, Z, T ) ), ~( 'c_Fun_Obij__betw'( Y, W, V1
% 0.88/1.25    , U, Z ) ) ],
% 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_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_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     [ =( 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_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     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ]
% 0.88/1.25    ,
% 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_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_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.25     ), Y ) ) ],
% 0.88/1.25     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.25     ), Y ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.25     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.25     ), Y ) ) ],
% 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     [ '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     [ '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_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ), 
% 0.88/1.25    'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 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     [ 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' ) ) ), ~( 'c_in'( X
% 0.88/1.25    , T, Z ) ) ],
% 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     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.88/1.25     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.88/1.25    'tc_fun'( T, 'tc_bool' ) ), T ), ~( '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     [ ~( '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_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     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.88/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.25     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.25     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.25     ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.25     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.88/1.25    '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     [ 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     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.25     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ '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     [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.88/1.25     ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.88/1.25     [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP( 
% 0.88/1.25    'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.88/1.25    , V4 ), W ) ) ],
% 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     [ '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, '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_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_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     [ =( 'c_Option_Othe'( 'c_Option_Ooption_OSome'( X, Y ), Y ), X ) ],
% 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     [ ~( =( '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     [ hBOOL( hAPP( 'c_Com_OWT', X ) ), ~( hBOOL( hAPP( 'c_Com_OWT', 
% 0.88/1.25    'c_Com_Ocom_OCond'( Y, X, Z ) ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', X ) ), ~( hBOOL( hAPP( 'c_Com_OWT', 
% 0.88/1.25    'c_Com_Ocom_OCond'( Y, Z, X ) ) ) ) ],
% 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     [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, Z
% 0.88/1.25    , T, U ) ), hAPP( Z, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X
% 0.88/1.25    , Z, T, U ) ) ) ), =( 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( Z, Y
% 0.88/1.25    , T, U ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', hAPP( 'c_Com_Ocom_OBODY', X ) ) ), =( hAPP( 
% 0.88/1.25    'c_Com_Obody', X ), 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 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     [ ~( =( '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     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) )
% 0.88/1.25    , Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( 
% 0.88/1.25    hAPP( 'c_Com_Obody', X ), 'tc_Com_Ocom' ) ), Y ), Z ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( hAPP( 
% 0.88/1.25    'c_Com_Obody', X ), 'tc_Com_Ocom' ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.25    'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) ), Y ), Z ) ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), 
% 0.88/1.25    'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( X, Y, Z, T ), U ), ~( 'c_Fun_Obij__betw'( X, Y, U, 
% 0.88/1.25    Z, T ) ) ],
% 0.88/1.25     [ ~( =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'( Y, 
% 0.88/1.25    'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), hBOOL( hAPP( 'c_Com_OWT', 
% 0.88/1.25    Y ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', 'c_Com_Ocom_OSemi'( X, Y ) ) ), ~( hBOOL( 
% 0.88/1.25    hAPP( 'c_Com_OWT', Y ) ) ), ~( hBOOL( hAPP( 'c_Com_OWT', X ) ) ) ],
% 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_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     [ hBOOL( hAPP( 'c_Com_OWT', X ) ), ~( hBOOL( hAPP( 'c_Com_OWT', 
% 0.88/1.25    'c_Com_Ocom_OSemi'( X, Y ) ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', X ) ), ~( hBOOL( hAPP( 'c_Com_OWT', 
% 0.88/1.25    'c_Com_Ocom_OSemi'( Y, X ) ) ) ) ],
% 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     [ 'c_Com_OWT__bodies', ~( 'c_split'( 'c_COMBK'( 'c_Com_OWT', 'tc_fun'( 
% 0.88/1.25    'tc_Com_Ocom', 'tc_bool' ), 'tc_Com_Opname' ), 
% 0.88/1.25    'c_Com_Osko__Com__XWT__bodies__def__1__1', 'tc_Com_Opname', 'tc_Com_Ocom'
% 0.88/1.25    , 'tc_bool' ) ) ],
% 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     [ =( '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     [ hBOOL( hAPP( 'c_Com_OWT', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ), ~( hBOOL( 
% 0.88/1.25    hAPP( 'c_Com_OWT', Z ) ) ), ~( hBOOL( hAPP( 'c_Com_OWT', Y ) ) ) ],
% 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    ~( hBOOL( hAPP( 'c_Com_OWT', Y ) ) ), ~( 
% 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', 
% 0.88/1.25    '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_Ostate__not__singleton', =( X, Y ) ],
% 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     [ ~( =( 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     [ ~( =( '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_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     [ =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'( 
% 0.88/1.25    'c_Com_Osko__Com__XWTs__elim__cases__7__1'( X ), 'tc_Com_Ocom' ) ), ~( 
% 0.88/1.25    hBOOL( hAPP( 'c_Com_OWT', hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ) ],
% 0.88/1.25     [ 'c_Com_OWT__bodies', ~( 'c_split'( 'c_COMBK'( 'c_Com_OWT', 'tc_fun'( 
% 0.88/1.25    'tc_Com_Ocom', 'tc_bool' ), 'tc_Com_Opname' ), 
% 0.88/1.25    'c_Com_Osko__Com__XWT__bodies__def__raw__1__1', 'tc_Com_Opname', 
% 0.88/1.25    'tc_Com_Ocom', 'tc_bool' ) ) ],
% 0.88/1.25     [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 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', 'c_Option_Othe'( hAPP( 'c_Com_Obody', Y ), 
% 0.88/1.25    'tc_Com_Ocom' ) ), '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_Com_Ocom_OCall'( X, Y, Z ), hAPP( 'c_Com_Ocom_OBODY', T ) ) )
% 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     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ]
% 0.88/1.25    ,
% 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_Com_Ocom_OSemi'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.88/1.25    ,
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', 'c_Com_Ocom_OSKIP' ) ) ],
% 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     [ hBOOL( hAPP( 'c_Com_OWT', 'c_Com_Ocom_OAss'( X, Y ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', 'c_Com_Ocom_OCall'( X, Y, Z ) ) ), ~( hBOOL( 
% 0.88/1.25    hAPP( 'c_Com_OWT', hAPP( 'c_Com_Ocom_OBODY', Y ) ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', hAPP( 'c_Com_Ocom_OBODY', X ) ) ), ~( hBOOL( 
% 0.88/1.25    hAPP( 'c_Com_OWT', 'c_Com_Ocom_OCall'( Y, X, Z ) ) ) ) ],
% 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     [ ~( =( '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_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    ~( hBOOL( hAPP( 'c_Com_OWT', Y ) ) ), '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_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_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 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     [ hBOOL( hAPP( 'c_Com_OWT', 'c_Com_Ocom_OWhile'( X, Y ) ) ), ~( hBOOL( 
% 0.88/1.25    hAPP( 'c_Com_OWT', Y ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', X ) ), ~( hBOOL( hAPP( 'c_Com_OWT', 
% 0.88/1.25    'c_Com_Ocom_OWhile'( Y, X ) ) ) ) ],
% 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     [ hBOOL( hAPP( 'c_Com_OWT', 'c_Com_Ocom_OLocal'( X, Y, Z ) ) ), ~( hBOOL( 
% 0.88/1.25    hAPP( 'c_Com_OWT', Z ) ) ) ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', X ) ), ~( hBOOL( hAPP( 'c_Com_OWT', 
% 0.88/1.25    'c_Com_Ocom_OLocal'( Y, Z, X ) ) ) ) ],
% 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_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.88/1.25    , U ), U ) ],
% 0.88/1.25     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.88/1.25    , U ), U ) ],
% 0.88/1.25     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.88/1.25    , Z, T ) ) ],
% 0.88/1.25     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.88/1.25    , Z, T ) ) ],
% 0.88/1.25     [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.88/1.25     [ 'c_Com_OWT__bodies' ],
% 0.88/1.25     [ hBOOL( hAPP( 'c_Com_OWT', 'v_c' ) ) ],
% 0.88/1.25     [ ~( =( 'v_uG', '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' ) ) ) ) ],
% 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_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 ) ) ],
% 0.89/1.52     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.52    ,
% 0.89/1.52     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.89/1.52     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.52     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.52     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.89/1.52     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.52     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.89/1.52     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.89/1.52     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.52     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.52     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.89/1.52     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.52     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.52     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.52     [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.89/1.52     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.52     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.52     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~( 
% 0.89/1.52    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.89/1.52     [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.89/1.52     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.89/1.52    ,
% 0.89/1.52     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.89/1.52     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.89/1.52  ] .
% 0.89/1.52  
% 0.89/1.52  
% 0.89/1.52  percentage equality = 0.398190, percentage horn = 0.928000
% 0.89/1.52  This is a problem with some equality
% 0.89/1.52  
% 0.89/1.52  
% 0.89/1.52  
% 0.89/1.52  Options Used:
% 0.89/1.52  
% 0.89/1.52  useres =            1
% 0.89/1.52  useparamod =        1
% 0.89/1.52  useeqrefl =         1
% 0.89/1.52  useeqfact =         1
% 0.89/1.52  usefactor =         1
% 0.89/1.52  usesimpsplitting =  0
% 0.89/1.52  usesimpdemod =      5
% 0.89/1.52  usesimpres =        3
% 0.89/1.52  
% 0.89/1.52  resimpinuse      =  1000
% 0.89/1.52  resimpclauses =     20000
% 0.89/1.52  substype =          eqrewr
% 0.89/1.52  backwardsubs =      1
% 0.89/1.52  selectoldest =      5
% 0.89/1.52  
% 0.89/1.52  litorderings [0] =  split
% 0.89/1.52  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.89/1.52  
% 0.89/1.52  termordering =      kbo
% 0.89/1.52  
% 0.89/1.52  litapriori =        0
% 0.89/1.52  termapriori =       1
% 0.89/1.52  litaposteriori =    0
% 0.89/1.52  termaposteriori =   0
% 0.89/1.52  demodaposteriori =  0
% 0.89/1.52  ordereqreflfact =   0
% 0.89/1.52  
% 0.89/1.52  litselect =         negord
% 0.89/1.52  
% 0.89/1.52  maxweight =         15
% 0.89/1.52  maxdepth =          30000
% 0.89/1.52  maxlength =         115
% 0.89/1.52  maxnrvars =         195
% 0.89/1.52  excuselevel =       1
% 0.89/1.52  increasemaxweight = 1
% 0.89/1.52  
% 0.89/1.52  maxselected =       10000000
% 0.89/1.52  maxnrclauses =      10000000
% 0.89/1.52  
% 0.89/1.52  showgenerated =    0
% 0.89/1.52  showkept =         0
% 0.89/1.52  showselected =     0
% 0.89/1.52  showdeleted =      0
% 0.89/1.52  showresimp =       1
% 0.89/1.52  showstatus =       2000
% 0.89/1.52  
% 0.89/1.52  prologoutput =     1
% 0.89/1.52  nrgoals =          5000000
% 0.89/1.52  totalproof =       1
% 0.89/1.52  
% 0.89/1.52  Symbols occurring in the translation:
% 0.89/1.52  
% 0.89/1.52  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.89/1.52  .  [1, 2]      (w:1, o:132, a:1, s:1, b:0), 
% 0.89/1.52  !  [4, 1]      (w:0, o:102, a:1, s:1, b:0), 
% 0.89/1.52  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.89/1.52  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.89/1.52  'tc_bool'  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.89/1.52  'tc_fun'  [43, 2]      (w:1, o:157, a:1, s:1, b:0), 
% 0.89/1.52  'c_HOL_Ominus__class_Ominus'  [44, 3]      (w:1, o:165, a:1, s:1, b:0), 
% 0.89/1.52  'c_Lattices_Oupper__semilattice__class_Osup'  [45, 3]      (w:1, o:166, a:1
% 0.89/1.52    , s:1, b:0), 
% 0.89/1.52  'c_lessequals'  [46, 3]      (w:1, o:167, a:1, s:1, b:0), 
% 0.89/1.52  'c_Set_Oimage'  [50, 4]      (w:1, o:178, a:1, s:1, b:0), 
% 0.89/1.52  'c_Orderings_Otop__class_Otop'  [51, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 0.89/1.52  'c_Orderings_Obot__class_Obot'  [52, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 0.89/1.52  'c_Set_Oinsert'  [54, 3]      (w:1, o:168, a:1, s:1, b:0), 
% 0.89/1.52  'c_Finite__Set_Ofinite'  [55, 2]      (w:1, o:158, a:1, s:1, b:0), 
% 0.89/1.52  'c_in'  [57, 3]      (w:1, o:169, a:1, s:1, b:0), 
% 0.89/1.52  'class_OrderedGroup_Opordered__ab__group__add'  [58, 1]      (w:1, o:110
% 0.89/1.52    , a:1, s:1, b:0), 
% 0.89/1.52  'class_OrderedGroup_Oab__group__add'  [64, 1]      (w:1, o:111, a:1, s:1
% 0.89/1.52    , b:0), 
% 0.89/1.52  'c_Hoare__Mirabelle_Ohoare__valids'  [68, 3]      (w:1, o:170, a:1, s:1, b:
% 0.89/1.52    0), 
% 0.89/1.52  'c_Hoare__Mirabelle_Ohoare__derivs'  [69, 3]      (w:1, o:171, a:1, s:1, b:
% 0.89/1.52    0), 
% 0.89/1.52  hAPP  [70, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 0.89/1.52  'c_Option_Ooption_ONone'  [71, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 0.89/1.52  'c_Map_Odom'  [72, 3]      (w:1, o:172, a:1, s:1, b:0), 
% 0.89/1.52  'c_Com_Ocom_OCall'  [76, 3]      (w:1, o:173, a:1, s:1, b:0), 
% 0.89/1.52  'c_Com_Ocom_OSemi'  [90, 2]      (w:1, o:160, a:1, s:1, b:0), 
% 0.89/1.52  'c_Com_Ocom_Ocom__rec'  [91, 10]      (w:1, o:186, a:1, s:1, b:0), 
% 0.89/1.52  'c_Com_Ocom_OWhile'  [93, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_Ocom_OSKIP'  [94, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_Ocom_OLocal'  [97, 3]      (w:1, o:174, a:1, s:1, b:0), 
% 13.49/13.86  'c_Natural_Oevalc'  [99, 1]      (w:1, o:107, a:1, s:1, b:0), 
% 13.49/13.86  hBOOL  [101, 1]      (w:1, o:113, a:1, s:1, b:0), 
% 13.49/13.86  'class_Orderings_Obot'  [102, 1]      (w:1, o:114, a:1, s:1, b:0), 
% 13.49/13.86  'class_Lattices_Obounded__lattice'  [105, 1]      (w:1, o:115, a:1, s:1, b:
% 13.49/13.86    0), 
% 13.49/13.86  'c_Com_Ocom_OCond'  [106, 3]      (w:1, o:175, a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_Ocom_OAss'  [108, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_Ocom_OBODY'  [110, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 13.49/13.86  'c_Hoare__Mirabelle_Otriple_Otriple'  [113, 4]      (w:1, o:179, a:1, s:1
% 13.49/13.86    , b:0), 
% 13.49/13.86  'tc_Hoare__Mirabelle_Otriple'  [114, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_Obody'  [115, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 13.49/13.86  'tc_Com_Ocom'  [116, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 13.49/13.86  'c_Option_Othe'  [117, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 13.49/13.86  'c_Option_Ooption_OSome'  [120, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 13.49/13.86  'c_Fun_Ocomp'  [123, 5]      (w:1, o:181, a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_Ocom_Ocom__case'  [126, 10]      (w:1, o:187, a:1, s:1, b:0), 
% 13.49/13.86  'c_COMBK'  [129, 3]      (w:1, o:176, a:1, s:1, b:0), 
% 13.49/13.86  'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'  [130, 5]      (w:1, o:182
% 13.49/13.86    , a:1, s:1, b:0), 
% 13.49/13.86  'tc_Com_Ostate'  [131, 0]      (w:1, o:79, a:1, s:1, b:0), 
% 13.49/13.86  'c_Hoare__Mirabelle_OMGT'  [132, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 13.49/13.86  'c_Map_Osko__Map__Xfinite__map__freshness__1__1'  [133, 3]      (w:1, o:177
% 13.49/13.86    , a:1, s:1, b:0), 
% 13.49/13.86  'c_Fun_Oid'  [134, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 13.49/13.86  'class_Lattices_Oupper__semilattice'  [135, 1]      (w:1, o:118, a:1, s:1
% 13.49/13.86    , b:0), 
% 13.49/13.86  'c_COMBI'  [137, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 13.49/13.86  'class_Lattices_Olattice'  [146, 1]      (w:1, o:120, a:1, s:1, b:0), 
% 13.49/13.86  'class_Finite__Set_Ofinite_Ofinite'  [147, 1]      (w:1, o:121, a:1, s:1
% 13.49/13.86    , b:0), 
% 13.49/13.86  'c_fequal'  [148, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 13.49/13.86  'class_HOL_Oord'  [149, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 13.49/13.86  'class_Orderings_Oorder'  [151, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 13.49/13.86  'c_Fun_Obij__betw'  [152, 5]      (w:1, o:180, a:1, s:1, b:0), 
% 13.49/13.86  'class_Orderings_Otop'  [158, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 13.49/13.86  'class_Orderings_Opreorder'  [161, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 13.49/13.86  'class_Orderings_Olinorder'  [165, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_OWT'  [166, 0]      (w:1, o:89, a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_OWT__bodies'  [168, 0]      (w:1, o:90, a:1, s:1, b:0), 
% 13.49/13.86  'c_COMBB'  [169, 5]      (w:1, o:183, a:1, s:1, b:0), 
% 13.49/13.86  'tc_Com_Opname'  [170, 0]      (w:1, o:91, a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_Osko__Com__XWT__bodies__def__1__1'  [171, 0]      (w:1, o:92, a:1
% 13.49/13.86    , s:1, b:0), 
% 13.49/13.86  'c_split'  [172, 5]      (w:1, o:184, a:1, s:1, b:0), 
% 13.49/13.86  'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'  [173, 1]      (w:1, o:128, a:1
% 13.49/13.86    , s:1, b:0), 
% 13.49/13.86  'c_Hoare__Mirabelle_Ostate__not__singleton'  [174, 0]      (w:1, o:93, a:1
% 13.49/13.86    , s:1, b:0), 
% 13.49/13.86  'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'  [175, 1]      (w:1, o:129
% 13.49/13.86    , a:1, s:1, b:0), 
% 13.49/13.86  'c_Com_Osko__Com__XWTs__elim__cases__7__1'  [176, 1]      (w:1, o:130, a:1
% 13.49/13.86    , s:1, b:0), 
% 13.49/13.86  'c_Com_Osko__Com__XWT__bodies__def__raw__1__1'  [177, 0]      (w:1, o:94
% 13.49/13.86    , a:1, s:1, b:0), 
% 13.49/13.86  'v_c'  [180, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 13.49/13.86  'v_uG'  [182, 0]      (w:1, o:98, a:1, s:1, b:0), 
% 13.49/13.86  'tc_nat'  [185, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 13.49/13.86  'tc_Option_Ooption'  [186, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 13.49/13.86  'c_COMBC'  [187, 6]      (w:1, o:185, a:1, s:1, b:0).
% 13.49/13.86  
% 13.49/13.86  
% 13.49/13.86  Starting Search:
% 13.49/13.86  
% 13.49/13.86  Resimplifying inuse:
% 13.49/13.86  Done
% 13.49/13.86  
% 13.49/13.86  
% 13.49/13.86  Intermediate Status:
% 13.49/13.86  Generated:    6850
% 13.49/13.86  Kept:         2097
% 13.49/13.86  Inuse:        180
% 13.49/13.86  Deleted:      8
% 13.49/13.86  Deletedinuse: 2
% 13.49/13.86  
% 13.49/13.86  Resimplifying inuse:
% 13.49/13.86  Done
% 13.49/13.86  
% 13.49/13.86  Resimplifying inuse:
% 13.49/13.86  Done
% 13.49/13.86  
% 13.49/13.86  
% 13.49/13.86  Intermediate Status:
% 13.49/13.86  Generated:    15150
% 13.49/13.86  Kept:         4101
% 13.49/13.86  Inuse:        242
% 13.49/13.86  Deleted:      8
% 13.49/13.86  Deletedinuse: 2
% 13.49/13.86  
% 13.49/13.86  Resimplifying inuse:
% 13.49/13.86  Done
% 13.49/13.86  
% 13.49/13.86  
% 13.49/13.86  Intermediate Status:
% 13.49/13.86  Generated:    23220
% 13.49/13.86  Kept:         6258
% 13.49/13.86  Inuse:        300
% 13.49/13.86  Deleted:      8
% 13.49/13.86  Deletedinuse: 2
% 13.49/13.86  
% 13.49/13.86  Resimplifying inuse:
% 13.49/13.86  Done
% 13.49/13.86  
% 13.49/13.86  Resimplifying inuse:
% 13.49/13.86  Done
% 13.49/13.86  
% 13.49/13.86  
% 13.49/13.86  Intermediate Status:
% 13.49/13.86  Generated:    32670
% 13.49/13.86  Kept:         8395
% 13.49/13.86  Inuse:        325
% 13.49/13.86  Deleted:      15
% 13.49/13.86  Deletedinuse: 9
% 13.49/13.86  
% 13.49/13.86  Resimplifying inuse:
% 13.49/13.86  Done
% 13.49/13.86  
% 13.49/13.86  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    39295
% 46.47/46.84  Kept:         10407
% 46.47/46.84  Inuse:        369
% 46.47/46.84  Deleted:      16
% 46.47/46.84  Deletedinuse: 10
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    48568
% 46.47/46.84  Kept:         12415
% 46.47/46.84  Inuse:        417
% 46.47/46.84  Deleted:      18
% 46.47/46.84  Deletedinuse: 12
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    57393
% 46.47/46.84  Kept:         14451
% 46.47/46.84  Inuse:        469
% 46.47/46.84  Deleted:      19
% 46.47/46.84  Deletedinuse: 13
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    64185
% 46.47/46.84  Kept:         16684
% 46.47/46.84  Inuse:        485
% 46.47/46.84  Deleted:      19
% 46.47/46.84  Deletedinuse: 13
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    72049
% 46.47/46.84  Kept:         18732
% 46.47/46.84  Inuse:        525
% 46.47/46.84  Deleted:      20
% 46.47/46.84  Deletedinuse: 14
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying clauses:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    81482
% 46.47/46.84  Kept:         20800
% 46.47/46.84  Inuse:        562
% 46.47/46.84  Deleted:      135
% 46.47/46.84  Deletedinuse: 15
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    87484
% 46.47/46.84  Kept:         22809
% 46.47/46.84  Inuse:        584
% 46.47/46.84  Deleted:      135
% 46.47/46.84  Deletedinuse: 15
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    100329
% 46.47/46.84  Kept:         24826
% 46.47/46.84  Inuse:        623
% 46.47/46.84  Deleted:      136
% 46.47/46.84  Deletedinuse: 15
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    114574
% 46.47/46.84  Kept:         27073
% 46.47/46.84  Inuse:        653
% 46.47/46.84  Deleted:      141
% 46.47/46.84  Deletedinuse: 20
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    125873
% 46.47/46.84  Kept:         29097
% 46.47/46.84  Inuse:        683
% 46.47/46.84  Deleted:      141
% 46.47/46.84  Deletedinuse: 20
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    135521
% 46.47/46.84  Kept:         31253
% 46.47/46.84  Inuse:        698
% 46.47/46.84  Deleted:      141
% 46.47/46.84  Deletedinuse: 20
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    143587
% 46.47/46.84  Kept:         33289
% 46.47/46.84  Inuse:        703
% 46.47/46.84  Deleted:      141
% 46.47/46.84  Deletedinuse: 20
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    156843
% 46.47/46.84  Kept:         38286
% 46.47/46.84  Inuse:        743
% 46.47/46.84  Deleted:      143
% 46.47/46.84  Deletedinuse: 22
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying clauses:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    172001
% 46.47/46.84  Kept:         40607
% 46.47/46.84  Inuse:        758
% 46.47/46.84  Deleted:      242
% 46.47/46.84  Deletedinuse: 23
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    212026
% 46.47/46.84  Kept:         44743
% 46.47/46.84  Inuse:        793
% 46.47/46.84  Deleted:      242
% 46.47/46.84  Deletedinuse: 23
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    235032
% 46.47/46.84  Kept:         47099
% 46.47/46.84  Inuse:        797
% 46.47/46.84  Deleted:      244
% 46.47/46.84  Deletedinuse: 24
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    254710
% 46.47/46.84  Kept:         49642
% 46.47/46.84  Inuse:        818
% 46.47/46.84  Deleted:      251
% 46.47/46.84  Deletedinuse: 27
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    274697
% 46.47/46.84  Kept:         51721
% 46.47/46.84  Inuse:        855
% 46.47/46.84  Deleted:      256
% 46.47/46.84  Deletedinuse: 29
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    284919
% 46.47/46.84  Kept:         54067
% 46.47/46.84  Inuse:        860
% 46.47/46.84  Deleted:      256
% 46.47/46.84  Deletedinuse: 29
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    295331
% 46.47/46.84  Kept:         56477
% 46.47/46.84  Inuse:        865
% 46.47/46.84  Deleted:      256
% 46.47/46.84  Deletedinuse: 29
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    316333
% 46.47/46.84  Kept:         59519
% 46.47/46.84  Inuse:        885
% 46.47/46.84  Deleted:      256
% 46.47/46.84  Deletedinuse: 29
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying clauses:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    337670
% 46.47/46.84  Kept:         62676
% 46.47/46.84  Inuse:        905
% 46.47/46.84  Deleted:      501
% 46.47/46.84  Deletedinuse: 29
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    361740
% 46.47/46.84  Kept:         66263
% 46.47/46.84  Inuse:        949
% 46.47/46.84  Deleted:      515
% 46.47/46.84  Deletedinuse: 33
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    385155
% 46.47/46.84  Kept:         69040
% 46.47/46.84  Inuse:        975
% 46.47/46.84  Deleted:      517
% 46.47/46.84  Deletedinuse: 35
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 46.47/46.84  
% 46.47/46.84  
% 46.47/46.84  Intermediate Status:
% 46.47/46.84  Generated:    391696
% 46.47/46.84  Kept:         71336
% 46.47/46.84  Inuse:        982
% 46.47/46.84  Deleted:      518
% 46.47/46.84  Deletedinuse: 36
% 46.47/46.84  
% 46.47/46.84  Resimplifying inuse:
% 46.47/46.84  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    406694
% 167.64/168.00  Kept:         73466
% 167.64/168.00  Inuse:        1010
% 167.64/168.00  Deleted:      519
% 167.64/168.00  Deletedinuse: 37
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    412320
% 167.64/168.00  Kept:         75673
% 167.64/168.00  Inuse:        1013
% 167.64/168.00  Deleted:      519
% 167.64/168.00  Deletedinuse: 37
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    431077
% 167.64/168.00  Kept:         78303
% 167.64/168.00  Inuse:        1039
% 167.64/168.00  Deleted:      520
% 167.64/168.00  Deletedinuse: 37
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    440609
% 167.64/168.00  Kept:         80523
% 167.64/168.00  Inuse:        1054
% 167.64/168.00  Deleted:      520
% 167.64/168.00  Deletedinuse: 37
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying clauses:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    451248
% 167.64/168.00  Kept:         82745
% 167.64/168.00  Inuse:        1071
% 167.64/168.00  Deleted:      691
% 167.64/168.00  Deletedinuse: 38
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    460533
% 167.64/168.00  Kept:         84937
% 167.64/168.00  Inuse:        1094
% 167.64/168.00  Deleted:      691
% 167.64/168.00  Deletedinuse: 38
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    471686
% 167.64/168.00  Kept:         86948
% 167.64/168.00  Inuse:        1113
% 167.64/168.00  Deleted:      693
% 167.64/168.00  Deletedinuse: 39
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    491889
% 167.64/168.00  Kept:         90994
% 167.64/168.00  Inuse:        1133
% 167.64/168.00  Deleted:      693
% 167.64/168.00  Deletedinuse: 39
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    499705
% 167.64/168.00  Kept:         92995
% 167.64/168.00  Inuse:        1153
% 167.64/168.00  Deleted:      693
% 167.64/168.00  Deletedinuse: 39
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    516447
% 167.64/168.00  Kept:         99086
% 167.64/168.00  Inuse:        1172
% 167.64/168.00  Deleted:      694
% 167.64/168.00  Deletedinuse: 39
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    602277
% 167.64/168.00  Kept:         101087
% 167.64/168.00  Inuse:        1234
% 167.64/168.00  Deleted:      694
% 167.64/168.00  Deletedinuse: 39
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying clauses:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    637588
% 167.64/168.00  Kept:         103108
% 167.64/168.00  Inuse:        1289
% 167.64/168.00  Deleted:      727
% 167.64/168.00  Deletedinuse: 39
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    694666
% 167.64/168.00  Kept:         105119
% 167.64/168.00  Inuse:        1387
% 167.64/168.00  Deleted:      735
% 167.64/168.00  Deletedinuse: 45
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    711063
% 167.64/168.00  Kept:         108496
% 167.64/168.00  Inuse:        1407
% 167.64/168.00  Deleted:      739
% 167.64/168.00  Deletedinuse: 49
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    730239
% 167.64/168.00  Kept:         112339
% 167.64/168.00  Inuse:        1429
% 167.64/168.00  Deleted:      739
% 167.64/168.00  Deletedinuse: 49
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    758328
% 167.64/168.00  Kept:         114360
% 167.64/168.00  Inuse:        1474
% 167.64/168.00  Deleted:      739
% 167.64/168.00  Deletedinuse: 49
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    778441
% 167.64/168.00  Kept:         116420
% 167.64/168.00  Inuse:        1498
% 167.64/168.00  Deleted:      739
% 167.64/168.00  Deletedinuse: 49
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    812588
% 167.64/168.00  Kept:         120752
% 167.64/168.00  Inuse:        1532
% 167.64/168.00  Deleted:      739
% 167.64/168.00  Deletedinuse: 49
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying clauses:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    839884
% 167.64/168.00  Kept:         125246
% 167.64/168.00  Inuse:        1554
% 167.64/168.00  Deleted:      1526
% 167.64/168.00  Deletedinuse: 49
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    873469
% 167.64/168.00  Kept:         127358
% 167.64/168.00  Inuse:        1583
% 167.64/168.00  Deleted:      1571
% 167.64/168.00  Deletedinuse: 70
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    894704
% 167.64/168.00  Kept:         129385
% 167.64/168.00  Inuse:        1604
% 167.64/168.00  Deleted:      1571
% 167.64/168.00  Deletedinuse: 70
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    928949
% 167.64/168.00  Kept:         131600
% 167.64/168.00  Inuse:        1629
% 167.64/168.00  Deleted:      1575
% 167.64/168.00  Deletedinuse: 70
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    937043
% 167.64/168.00  Kept:         133681
% 167.64/168.00  Inuse:        1638
% 167.64/168.00  Deleted:      1576
% 167.64/168.00  Deletedinuse: 71
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:
% 167.64/168.00  Generated:    978358
% 167.64/168.00  Kept:         135684
% 167.64/168.00  Inuse:        1700
% 167.64/168.00  Deleted:      1630
% 167.64/168.00  Deletedinuse: 122
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  Resimplifying inuse:
% 167.64/168.00  Done
% 167.64/168.00  
% 167.64/168.00  
% 167.64/168.00  Intermediate Status:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------