TSTP Solution File: SWV861-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV861-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:28:53 EDT 2022

% Result   : Timeout 300.06s 300.56s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV861-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Tue Jun 14 18:45:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.88/1.26  *** allocated 10000 integers for termspace/termends
% 0.88/1.26  *** allocated 10000 integers for clauses
% 0.88/1.26  *** allocated 10000 integers for justifications
% 0.88/1.26  *** allocated 15000 integers for termspace/termends
% 0.88/1.26  Bliksem 1.12
% 0.88/1.26  
% 0.88/1.26  
% 0.88/1.26  Automatic Strategy Selection
% 0.88/1.26  
% 0.88/1.26  Clauses:
% 0.88/1.26  [
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.88/1.26    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.88/1.26    'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.88/1.26    'c_lessequals'( Y, Z, X ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.88/1.26    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.26     ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.26     ],
% 0.88/1.26     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.26    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.26     ],
% 0.88/1.26     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.26     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.88/1.26     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.26     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.88/1.26     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.88/1.26     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.88/1.26    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.26     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.26    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.26    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.26    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.26    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.26    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.26    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.26    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.88/1.26    Y, X ), Z, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.26    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    T, X ), Z, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.26    'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.26    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.26    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.88/1.26    Y, X ), Z, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.26    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    T, X ), Z, X ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.88/1.26    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.88/1.26    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.26    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.88/1.26     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.26    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'( 
% 0.88/1.26    U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.88/1.26    Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.88/1.26    , Y ) ],
% 0.88/1.26     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.88/1.26    , Y ) ],
% 0.88/1.26     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.26     ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.26     ) ), Z ), T ) ), T ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' )
% 0.88/1.26     ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.26    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.88/1.26    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.88/1.26    'tc_bool' ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.88/1.26    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.26     ) ],
% 0.88/1.26     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.88/1.26    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.26    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.88/1.26    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.88/1.26     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.88/1.26    hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W, 
% 0.88/1.26    U, V0 ) ), hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.26    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 0.88/1.26    hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.26     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 0.88/1.26    hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP( 
% 0.88/1.26    'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.88/1.26    , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.26     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 0.88/1.26    hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( 
% 0.88/1.26    'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.26     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.88/1.26    hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.88/1.26    hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, W
% 0.88/1.26    , U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 0.88/1.26    'c_Set_Oimage'( X, W, T, U ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W )
% 0.88/1.26     ) ],
% 0.88/1.26     [ 'c_lessequals'( hAPP( X, Y ), 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.88/1.26    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.26    'c_in'( T ), Y ), Z ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 
% 0.88/1.26    hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'( 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'( 
% 0.88/1.26    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ), 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.88/1.26    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.88/1.26    U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.26    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.26    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.88/1.26    Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.26    hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 0.88/1.26     ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 0.88/1.26     ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( 
% 0.88/1.26    X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.88/1.26     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.88/1.26    'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ), 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'( 
% 0.88/1.26    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Set_Oimage'( X, 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.26     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 0.88/1.26    Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_Set_Oimage'( Z
% 0.88/1.26    , X, W, T ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.88/1.26    'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ), 
% 0.88/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBB'( U, X
% 0.88/1.26    , T, 'tc_fun'( W, 'tc_bool' ), Z ), Z, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 0.88/1.26    ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.88/1.26     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 0.88/1.26    'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.88/1.26    , 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T
% 0.88/1.26    , X ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ), Z ), U ), T, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.26     ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.88/1.26     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.26     ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X
% 0.88/1.26    , 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.88/1.26    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 0.88/1.26    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.88/1.26     ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.26     ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X
% 0.88/1.26    , 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.88/1.26    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 0.88/1.26    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.88/1.26     ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.88/1.26     ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.88/1.26     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.26    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.26    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.88/1.26     [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( 
% 0.88/1.26    T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.88/1.26    , Z, 'tc_fun'( T, X ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.88/1.26    , 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.26    'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( U, Z, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.88/1.26    , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.88/1.26    , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.26    'tc_bool' ) ), X ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.26    X, 'tc_bool' ) ), Y ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.88/1.26     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.26     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.88/1.26     ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.88/1.26     ), =( Y, W ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.26     [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.26     ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.26     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.88/1.26    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), T ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.88/1.26    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), Z ) ) ],
% 0.88/1.26     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.88/1.26    'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, 
% 0.88/1.26    X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 
% 0.88/1.26    'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 0.88/1.26    , X ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.26     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.26    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.88/1.26    'tc_bool' ) ), X ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.88/1.26     [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.88/1.26     ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.26     ],
% 0.88/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.26     ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.26    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.88/1.26    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.26    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.26    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.26    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.26    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.26    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ), 
% 0.88/1.26    'tc_fun'( Y, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.88/1.26    , 'tc_bool' ) ), Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.88/1.26     [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.88/1.26     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U, 
% 0.88/1.26    Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.88/1.26    , 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.26    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.26     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.26    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.26     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z, 
% 0.88/1.26    'tc_fun'( X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ), 
% 0.88/1.26    'tc_fun'( Y, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.26    X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.26    , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.26    , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.26     ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ), T ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.88/1.26    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T )
% 0.88/1.26    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z
% 0.88/1.26     ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.26     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.88/1.26    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.88/1.26     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.88/1.26     ],
% 0.88/1.26     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), Z, T ) ) ],
% 0.88/1.26     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ), Z, T ) ) ],
% 0.88/1.26     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.88/1.26    , 'tc_bool' ) ), Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 
% 0.88/1.26    'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.88/1.26    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.26    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), X ), Y ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( Y, 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.26     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.88/1.26    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.26    'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z, 
% 0.88/1.26    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.88/1.26     ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.26    'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.26    'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'( 
% 0.88/1.26    X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.88/1.26    'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.26    'c_in'( X ), U ), Z ) ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.88/1.26    'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.26    'c_in'( X ), U ), Y ) ) ) ],
% 0.88/1.26     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ), hBOOL( hAPP( hAPP( 
% 0.88/1.26    'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.88/1.26    'v_sko__Hoare__Mirabelle__Xhoare__valids__def__3'( X, Y ) ), Y ) ) ],
% 0.88/1.26     [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL( 
% 0.88/1.26    hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Oimage'( X, W, T, U ) ) ), ~( 
% 0.88/1.26    'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 0.88/1.26     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP( 
% 0.88/1.26    'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.26     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.88/1.26    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.26    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.88/1.26    hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.88/1.26    X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.26    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.88/1.26    hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.88/1.26     ), Y ), Z ) ) ],
% 0.88/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP( 
% 0.88/1.26    'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~( 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.88/1.26    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.88/1.26     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 0.88/1.26    'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.88/1.26    , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), 
% 0.88/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, 
% 0.88/1.26    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.26    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.88/1.26    X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 'c_lessequals'( T, W
% 0.88/1.26    , 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( Y, 
% 0.88/1.26    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 0.88/1.26     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.26     ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~( 
% 0.88/1.26    hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.88/1.26     [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.88/1.26     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.26    'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), T, 
% 0.88/1.26    'tc_fun'( X, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) )
% 0.88/1.26     ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T ) ), ~( 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( Y, 'c_Set_Oinsert'( Z, T, X ), 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.26    , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) )
% 0.88/1.26     ],
% 0.88/1.26     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.26     [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.26    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z, 
% 0.88/1.26    Y, U ) ) ],
% 0.88/1.26     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.26    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, Z ), hBOOL( hAPP( 
% 0.88/1.26    X, Z ) ) ],
% 0.88/1.26     [ =( 'c_Set_Ovimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.26    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), U, Y ), hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Ovimage'( 
% 0.88/1.26    X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ],
% 0.88/1.26     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.26    , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 
% 0.88/1.26    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.26     [ =( 'c_Collect'( X, Y ), X ) ],
% 0.88/1.26     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.26     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.88/1.26    , T ) ],
% 0.88/1.26     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.88/1.26    , Z ) ],
% 0.88/1.26     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.26     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ), 
% 0.88/1.26    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ), X ) ) ) ],
% 0.88/1.26     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.26     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.88/1.26    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 0.88/1.26    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.88/1.26    'tc_bool' ) ), X ) ) ), T ) ) ],
% 0.88/1.26     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.88/1.26     [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 0.88/1.26     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, 
% 0.88/1.26    'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.26    T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.26    , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.26    'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.26    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.26     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.88/1.26    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.88/1.26     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.88/1.26    X, T ), Y ) ) ) ],
% 0.88/1.26     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.26    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.26    'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.88/1.26     ) ) ],
% 0.88/1.26     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.26    X ) ) ],
% 0.88/1.26     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ), Y, X ), 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.26    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.26     ) ) ) ],
% 0.88/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.26    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.26     ) ],
% 0.88/1.26     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.88/1.26    ,
% 0.88/1.26     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.88/1.26    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.88/1.26    , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.88/1.26     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.88/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.88/1.26    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.88/1.26    , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.88/1.26     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.26    , =( Z, W ) ],
% 0.88/1.26     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.27    , =( Y, U ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.88/1.27    , =( X, T ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.27     ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 0.88/1.27     ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.27     ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.88/1.27     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.88/1.27     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Set_Ovimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.88/1.27    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.27     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27     ) ), Y ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), 
% 0.88/1.27    'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'tc_fun'( Y, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T, 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    Y, T, 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ) ) ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.27    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.88/1.27    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.88/1.27    'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.27    , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ), ~( 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( X ), Y ), T ) ) ), ~( =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.27     ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.27    , X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27    , Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27    , Y, X ) ) ],
% 0.88/1.27     [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.27    , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.88/1.27     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.27     ), =( Z, Y ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27     ) ],
% 0.88/1.27     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.88/1.27    , Y, 'tc_nat' ) ) ],
% 0.88/1.27     [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'( 
% 0.88/1.27    Z, T, Y ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.27    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, 
% 0.88/1.27    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z )
% 0.88/1.27    , T ), Y, U ), 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), Z ), Y, U
% 0.88/1.27     ), 'tc_fun'( U, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.27    U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), Y, U ) ) ],
% 0.88/1.27     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.88/1.27    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z
% 0.88/1.27     ), T ), Y, U ), 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), Z ), Y, U
% 0.88/1.27     ), 'tc_fun'( U, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.27    U, 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, U ) ), ~( 
% 0.88/1.27    'c_Fun_Oinj__on'( X, Z, Y, U ) ), 'c_Fun_Oinj__on'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), Y, U ) ],
% 0.88/1.27     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.27    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.88/1.27    ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) )
% 0.88/1.27     ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 0.88/1.27    'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), W ), 
% 0.88/1.27    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T ) ), T, U ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.88/1.27     ), W ) ) ) ],
% 0.88/1.27     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ), ~( 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple__valid'( 
% 0.88/1.27    'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), 
% 0.88/1.27    'v_sko__Hoare__Mirabelle__Xhoare__valids__def__3'( X, Y ), 't_a' ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.88/1.27    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.88/1.27    ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Collect'( hAPP( 'c_COMBC'( 
% 0.88/1.27    'c_COMBB'( 'c_in'( T ), X, T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 
% 0.88/1.27    'tc_bool' ), Z ), Z, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ), Z ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.88/1.27    , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 
% 0.88/1.27    'tc_bool' ) ), W ) ), U, W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T
% 0.88/1.27     ), Z ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.88/1.27    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ), X ) ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( 'c_lessequals'( Y, 
% 0.88/1.27    'c_Set_Oinsert'( Z, T, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.27     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'( 
% 0.88/1.27    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), X )
% 0.88/1.27    , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.27     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'( 
% 0.88/1.27    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), X )
% 0.88/1.27    , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Finite__Set_Osetsum'( X, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), Y ) ), Y, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Z, Y, 
% 0.88/1.27    'tc_nat' ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), Z ) ) ],
% 0.88/1.27     [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.88/1.27     ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~( 
% 0.88/1.27    'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 
% 0.88/1.27    'tc_bool' ) ), W ) ), U, W, V0 ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( 
% 0.88/1.27    Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), 
% 0.88/1.27    'c_Suc'( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.27    X, 'tc_bool' ) ), X ) ) ) ],
% 0.88/1.27     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.88/1.27    , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.88/1.27     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.88/1.27    'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.27    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.88/1.27     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.88/1.27    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.88/1.27    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.27     ) ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), X ), Y ), X ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'c_Collect'( X, Z ), 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.27     [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.88/1.27    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.27     ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.88/1.27     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 0.88/1.27    U ) ) ],
% 0.88/1.27     [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.88/1.27     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.88/1.27     [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.88/1.27    , W ) ) ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.27     ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.27    , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.88/1.27    , 'tc_bool' ) ), Y ), Z ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.88/1.27    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.27    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.27    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.27    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T ), ~( 
% 0.88/1.27    'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), U, T ) ), ~( 
% 0.88/1.27    'c_Natural_Oevalc'( Y, Z, U ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U ), ~( 
% 0.88/1.27    'c_Natural_Oevalc'( Y, T, U ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevalc'( Z, Y, T ), ~( 
% 0.88/1.27    'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Z, U ), Y, T ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~( 
% 0.88/1.27    'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), Y, Z ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 0.88/1.27    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 0.88/1.27    'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 0.88/1.27    'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.27     [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T, 
% 0.88/1.27    'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~( 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ), 
% 0.88/1.27    'c_Set_Oinsert'( X, Z, Y ) ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.27    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.88/1.27    , X, 'tc_nat' ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X, 
% 0.88/1.27    'tc_nat' ) ],
% 0.88/1.27     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.88/1.27    , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.88/1.27    'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.88/1.27     ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.27    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.27    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.27    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    Z, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.27    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    T, Z, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.88/1.27    'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.88/1.27    'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.27    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    Z, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.27    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    T, Z, X ), X ) ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.88/1.27    =( X, Z ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.88/1.27    =( Y, T ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.27     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.27    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.27     ) ), Z, X ) ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ), 
% 0.88/1.27    'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.88/1.27    'c_Collect'( T, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.27     [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~( 
% 0.88/1.27    'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, 
% 0.88/1.27    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), U )
% 0.88/1.27    , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T ) ), T, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 
% 0.88/1.27    'c_Set_Oinsert'( Z, U, T ), T, X ) ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.27     ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), X ) )
% 0.88/1.27    , hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.27     ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Z ), 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 0.88/1.27     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.88/1.27    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.88/1.27     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, U )
% 0.88/1.27     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.88/1.27    , Z ) ), T ) ), ~( hBOOL( hAPP( U, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.88/1.27    , Z ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.88/1.27    , Z ) ), T ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.88/1.27    , Z ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( X, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.88/1.27    , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.88/1.27    , Z ) ), T ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( U, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.88/1.27    , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.88/1.27    , Z ) ), T ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.27    'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), 
% 0.88/1.27    ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), 
% 0.88/1.27    ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.27    'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP( 
% 0.88/1.27    hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.27    'c_SetInterval_Oord_OgreaterThanLessThan'( Z, T, U, X ) ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.27    'c_SetInterval_Oord_OgreaterThanAtMost'( Z, T, U, W, X ) ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( hAPP( Z, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ) ), T ), Z ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ) ), Z ), T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~( 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.27    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.27    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.88/1.27     [ 'c_Natural_Oevalc'( X, Y, Z ), hBOOL( hAPP( T, Y ) ), ~( 
% 0.88/1.27    'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T, U, X ), Y, Z ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U ), ~( 
% 0.88/1.27    'c_Natural_Oevalc'( Z, T, U ) ), hBOOL( hAPP( X, T ) ) ],
% 0.88/1.27     [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.88/1.27     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.88/1.27     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.88/1.27     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.88/1.27    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.88/1.27    , U, V3, V4, T ) ) ],
% 0.88/1.27     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.88/1.27    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, 
% 0.88/1.27    V2, V3, V4, T ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 0.88/1.27     ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U, 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( U ), V0 ), Y ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.27    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.27    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.27    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.88/1.27    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.88/1.27     [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 
% 0.88/1.27    'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.27    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.27    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.27    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.27     [ =( 'c_Set_Oinsert'( X, 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y, 
% 0.88/1.27    'tc_nat' ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 
% 0.88/1.27    'tc_nat' ) ) ],
% 0.88/1.27     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.27    'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.88/1.27     [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), 
% 0.88/1.27    'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.88/1.27    , Z, V2, Y ) ) ],
% 0.88/1.27     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.88/1.27    , V2, Z, Y ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevalc'( 
% 0.88/1.27    'c_Com_Ocom_OWhile'( X, T ), Y, Z ) ) ],
% 0.88/1.27     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.88/1.27     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ), Z
% 0.88/1.27     ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), Z ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.27    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.27    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.88/1.27     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.88/1.27     ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.88/1.27    , X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.88/1.27    , X ) ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.88/1.27     ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.88/1.27    , 'tc_bool' ) ), X ) ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.88/1.27     ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ) ) ), T ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z )
% 0.88/1.27    , T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.88/1.27     ) ],
% 0.88/1.27     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.88/1.27     ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ), 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.88/1.27    X, T, U ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.88/1.27    hAPP( X, U ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( X, T ) ) ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.88/1.27    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 0.88/1.27     ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.88/1.27    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 0.88/1.27     ), ~( 'c_lessequals'( U, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.88/1.27    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ) ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.88/1.27    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 0.88/1.27    , X ) ) ],
% 0.88/1.27     [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.27     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.88/1.27    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.88/1.27    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevalc'( X, Y, Z ), 'c_Natural_Oevalc'( T, Y, Z ), ~( 
% 0.88/1.27    'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ), Y, Z ) ) ],
% 0.88/1.27     [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 0.88/1.27     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), 
% 0.88/1.27    'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.88/1.27    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.27     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.88/1.27    'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.88/1.27     ), 'c_SetInterval_Oord_OgreaterThanAtMost'( U, X, Y, W, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.88/1.27     ), 'c_SetInterval_Oord_OgreaterThanAtMost'( X, U, W, Z, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'( 
% 0.88/1.27    X, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( X, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.88/1.27    , Z ) ) ) ), ~( hBOOL( hAPP( U, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.88/1.27    , Z ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( U, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.88/1.27    , Z ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.88/1.27    , Z ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.88/1.27    , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.88/1.27    , Z ) ), T ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.88/1.27    , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.88/1.27    , Z ) ), T ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( X, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.88/1.27    , X, Z ) ) ) ), ~( hBOOL( hAPP( U, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.88/1.27    , X, Z ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( U, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.88/1.27    , U, Z ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.88/1.27    , U, Z ) ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.88/1.27    , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'( 
% 0.88/1.27    Z, T, X ) ), Z ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.88/1.27     ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, Y, U, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.88/1.27     ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, U, Z, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.27     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.88/1.27     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y, 
% 0.88/1.27    Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.88/1.27     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.88/1.27     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~( 
% 0.88/1.27    'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.88/1.27     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.88/1.27     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~( 
% 0.88/1.27    'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.88/1.27     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.88/1.27     ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~( 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.27     [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 
% 0.88/1.27    'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.88/1.27     ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( Z, Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.88/1.27    'c_Collect'( X, Z ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z, 
% 0.88/1.27    T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.88/1.27     ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 
% 0.88/1.27    X ), Y ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 
% 0.88/1.27    X ), Y ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.88/1.27    , X, Z ) ), T ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.88/1.27    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.88/1.27    , U, Z ) ), T ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.88/1.27    , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.88/1.27     ), X ), Y ) ), =( Y, T ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( 
% 0.88/1.27    Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( 
% 0.88/1.27    hBOOL( hAPP( Z, T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 0.88/1.27    X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.88/1.27     ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 0.88/1.27    X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.88/1.27     ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'( 
% 0.88/1.27    Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.88/1.27     ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 0.88/1.27     ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 0.88/1.27    , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.88/1.27    , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 0.88/1.27    , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.88/1.27    , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.88/1.27     ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.88/1.27     ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.88/1.27     ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.88/1.27     ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.88/1.27     ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.88/1.27     ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( 
% 0.88/1.27    Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( X ), T ), Y ) ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.88/1.27    , X ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 0.88/1.27    , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.88/1.27     ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'( 
% 0.88/1.27    T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.88/1.27    Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.88/1.27    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.88/1.27    U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'( 
% 0.88/1.27    T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.88/1.27    Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.88/1.27    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.88/1.27    U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.88/1.27     ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.88/1.27     ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.88/1.27    'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL( 
% 0.88/1.27    hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 0.88/1.27     ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 0.88/1.27    , Y ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 0.88/1.27    'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T, 
% 0.88/1.27    U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T, 
% 0.88/1.27    U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( X, Y, Z, T ), 'c_Natural_Oevaln'( U, Y, Z, T ), 
% 0.88/1.27    ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( W, U, X ), Y, Z, T ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'( 
% 0.88/1.27    'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( X, Y, Z, T ), ~( 'c_lessequals'( U, Z, 'tc_nat' )
% 0.88/1.27     ), ~( 'c_Natural_Oevaln'( X, Y, U, T ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~( 
% 0.88/1.27    'c_Natural_Oevaln'( Z, T, U, W ) ), hBOOL( hAPP( X, T ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( X, Y, Z, T ), hBOOL( hAPP( U, Y ) ), ~( 
% 0.88/1.27    'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( U, W, X ), Y, Z, T ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.88/1.27    , Y, Z, T ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( X, Y, 
% 0.88/1.27    'c_Natural_Osko__Natural__Xevaln__max2__1__1'( Z, X, T, Y, U, W ), W ), 
% 0.88/1.27    ~( 'c_Natural_Oevaln'( X, Y, V0, W ) ), ~( 'c_Natural_Oevaln'( Z, T, V1, 
% 0.88/1.27    U ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( X, Y, 
% 0.88/1.27    'c_Natural_Osko__Natural__Xevaln__max2__1__1'( X, Z, Y, T, U, W ), U ), 
% 0.88/1.27    ~( 'c_Natural_Oevaln'( Z, T, V0, W ) ), ~( 'c_Natural_Oevaln'( X, Y, V1, 
% 0.88/1.27    U ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z ), hBOOL( 
% 0.88/1.27    hAPP( X, Z ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~( 
% 0.88/1.27    'c_Natural_Oevaln'( Y, T, U, W ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevaln'( Z, Y, T, U ), ~( 
% 0.88/1.27    'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Z, W ), Y, T, U ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U ), ~( 
% 0.88/1.27    'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~( 
% 0.88/1.27    'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~( 
% 0.88/1.27    'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.88/1.27     ],
% 0.88/1.27     [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.88/1.27     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~( 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.88/1.27     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.88/1.27    'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ) ), T ) ), ~( 
% 0.88/1.27    'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.88/1.27     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~( 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), 
% 0.88/1.27    'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), 't_a' ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ), 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple__valid'( 
% 0.88/1.27    'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), Z, 't_a' ), 
% 0.88/1.27    ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Z
% 0.88/1.27     ), X ) ) ) ],
% 0.88/1.27     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~( 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple__valid'( X, 
% 0.88/1.27    'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ), 't_a' ) ), ~( 
% 0.88/1.27    'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.88/1.27     [ =( 'c_Hoare__Mirabelle_Opeek__and'( 'v_P', 'v_p', 'v_Z', 'v_s', 't_a'
% 0.88/1.27     ), 'c_and'( hAPP( hAPP( 'v_P', 'v_Z' ), 'v_s' ), hAPP( 'v_p', 'v_s' ) )
% 0.88/1.27     ) ],
% 0.88/1.27     [ =( 'c_Hoare__Mirabelle_Opeek__and'( X, Y, 'v_Z', 'v_s', 't_a' ), 
% 0.88/1.27    'c_and'( hAPP( hAPP( X, 'v_Z' ), 'v_s' ), hAPP( Y, 'v_s' ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.88/1.27     ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~( 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple__valid'( W, 
% 0.88/1.27    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, X, 't_a' ), 't_a' ) ) ],
% 0.88/1.27     [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.88/1.27     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), 
% 0.88/1.27    hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.88/1.27    'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ) ), Z ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( hAPP( 'c_COMBB'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP( 
% 0.88/1.27    'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.88/1.27     [ =( hAPP( 'c_COMBS'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP( 
% 0.88/1.27    hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.88/1.27     [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.88/1.27     ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'v_P', 'v_Z' ), 'v_s' ) ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( 'v_c', 'v_s', 'v_n', 'v_s1' ) ],
% 0.88/1.27     [ 'c_Natural_Oevaln'( 'v_d', 'v_s1', 'v_n', 'v_s_H' ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( hAPP( 'v_R', 'v_Z' ), 'v_s_H' ) ) ) ],
% 0.88/1.27     [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_n', X, 't_a' ), ~( hBOOL( hAPP( 
% 0.88/1.27    hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X ), 'v_Ga' ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'v_Q', X ), Y ) ), ~( 'c_Natural_Oevaln'( 'v_c', Z
% 0.88/1.27    , 'v_n', Y ) ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), Z ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'v_R', X ), Y ) ), ~( 'c_Natural_Oevaln'( 'v_d', Z
% 0.88/1.27    , 'v_n', Y ) ), ~( hBOOL( hAPP( hAPP( 'v_Q', X ), Z ) ) ) ],
% 0.88/1.27     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.27    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.88/1.27     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.27    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.27     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.27    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.27     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.27    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.88/1.27     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.27    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.88/1.27     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.27    'class_Orderings_Opreorder'( Y ) ) ],
% 0.88/1.27     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.27    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.27     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.27    'class_Orderings_Oorder'( Y ) ) ],
% 0.88/1.27     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.88/1.27    Y ) ) ],
% 0.88/1.27     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.88/1.27     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.88/1.27     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.88/1.27     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.88/1.27     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.27     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.88/1.27     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.27     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.88/1.27     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.88/1.27     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.88/1.27     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.88/1.27     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.88/1.27     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.88/1.27     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.88/1.27     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.88/1.27     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.27     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.88/1.27     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.88/1.27     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.88/1.27     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.88/1.27     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.88/1.27  ] .
% 0.88/1.27  
% 0.88/1.27  
% 0.88/1.27  percentage equality = 0.243409, percentage horn = 0.872865
% 0.88/1.27  This is a problem with some equality
% 0.88/1.27  
% 0.88/1.27  
% 0.88/1.27  
% 0.88/1.27  Options Used:
% 0.88/1.27  
% 0.88/1.27  useres =            1
% 0.88/1.27  useparamod =        1
% 0.88/1.27  useeqrefl =         1
% 0.88/1.27  useeqfact =         1
% 0.88/1.27  usefactor =         1
% 0.91/1.44  usesimpsplitting =  0
% 0.91/1.44  usesimpdemod =      5
% 0.91/1.44  usesimpres =        3
% 0.91/1.44  
% 0.91/1.44  resimpinuse      =  1000
% 0.91/1.44  resimpclauses =     20000
% 0.91/1.44  substype =          eqrewr
% 0.91/1.44  backwardsubs =      1
% 0.91/1.44  selectoldest =      5
% 0.91/1.44  
% 0.91/1.44  litorderings [0] =  split
% 0.91/1.44  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.91/1.44  
% 0.91/1.44  termordering =      kbo
% 0.91/1.44  
% 0.91/1.44  litapriori =        0
% 0.91/1.44  termapriori =       1
% 0.91/1.44  litaposteriori =    0
% 0.91/1.44  termaposteriori =   0
% 0.91/1.44  demodaposteriori =  0
% 0.91/1.44  ordereqreflfact =   0
% 0.91/1.44  
% 0.91/1.44  litselect =         negord
% 0.91/1.44  
% 0.91/1.44  maxweight =         15
% 0.91/1.44  maxdepth =          30000
% 0.91/1.44  maxlength =         115
% 0.91/1.44  maxnrvars =         195
% 0.91/1.44  excuselevel =       1
% 0.91/1.44  increasemaxweight = 1
% 0.91/1.44  
% 0.91/1.44  maxselected =       10000000
% 0.91/1.44  maxnrclauses =      10000000
% 0.91/1.44  
% 0.91/1.44  showgenerated =    0
% 0.91/1.44  showkept =         0
% 0.91/1.44  showselected =     0
% 0.91/1.44  showdeleted =      0
% 0.91/1.44  showresimp =       1
% 0.91/1.44  showstatus =       2000
% 0.91/1.44  
% 0.91/1.44  prologoutput =     1
% 0.91/1.44  nrgoals =          5000000
% 0.91/1.44  totalproof =       1
% 0.91/1.44  
% 0.91/1.44  Symbols occurring in the translation:
% 0.91/1.44  
% 0.91/1.44  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.91/1.44  .  [1, 2]      (w:1, o:138, a:1, s:1, b:0), 
% 0.91/1.44  !  [4, 1]      (w:0, o:111, a:1, s:1, b:0), 
% 0.91/1.44  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.91/1.44  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.91/1.44  'tc_bool'  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.91/1.44  'tc_fun'  [43, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 0.91/1.44  'c_lessequals'  [44, 3]      (w:1, o:174, a:1, s:1, b:0), 
% 0.91/1.44  'c_HOL_Oord__class_Oless'  [45, 3]      (w:1, o:175, a:1, s:1, b:0), 
% 0.91/1.44  'class_HOL_Oord'  [47, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.91/1.44  'class_Lattices_Oupper__semilattice'  [50, 1]      (w:1, o:117, a:1, s:1
% 0.91/1.44    , b:0), 
% 0.91/1.44  'c_Lattices_Oupper__semilattice__class_Osup'  [53, 3]      (w:1, o:176, a:1
% 0.91/1.44    , s:1, b:0), 
% 0.91/1.44  hAPP  [54, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 0.91/1.44  'c_Fun_Ofun__upd'  [55, 5]      (w:1, o:205, a:1, s:1, b:0), 
% 0.91/1.44  'c_Orderings_Obot__class_Obot'  [57, 1]      (w:1, o:118, a:1, s:1, b:0), 
% 0.91/1.44  'c_Lattices_Olower__semilattice__class_Oinf'  [60, 3]      (w:1, o:177, a:1
% 0.91/1.44    , s:1, b:0), 
% 0.91/1.44  'class_Lattices_Odistrib__lattice'  [61, 1]      (w:1, o:119, a:1, s:1, b:0
% 0.91/1.44    ), 
% 0.91/1.44  'c_Fun_Oinj__on'  [65, 4]      (w:1, o:193, a:1, s:1, b:0), 
% 0.91/1.44  hBOOL  [67, 1]      (w:1, o:120, a:1, s:1, b:0), 
% 0.91/1.44  'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'  [70, 4]      (w:1
% 0.91/1.44    , o:194, a:1, s:1, b:0), 
% 0.91/1.44  'c_HOL_Ominus__class_Ominus'  [71, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 0.91/1.44  'c_Set_Oimage'  [72, 4]      (w:1, o:195, a:1, s:1, b:0), 
% 0.91/1.44  'c_Set_Oinsert'  [73, 3]      (w:1, o:178, a:1, s:1, b:0), 
% 0.91/1.44  'c_Finite__Set_Ofold__graph'  [74, 6]      (w:1, o:212, a:1, s:1, b:0), 
% 0.91/1.44  'c_in'  [75, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 0.91/1.44  'class_Lattices_Olattice'  [76, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 0.91/1.44  'c_COMBC'  [81, 4]      (w:1, o:196, a:1, s:1, b:0), 
% 0.91/1.44  'c_COMBB'  [83, 5]      (w:1, o:206, a:1, s:1, b:0), 
% 0.91/1.44  'c_Finite__Set_Ocard'  [84, 2]      (w:1, o:165, a:1, s:1, b:0), 
% 0.91/1.44  'c_Set_Ovimage'  [85, 4]      (w:1, o:197, a:1, s:1, b:0), 
% 0.91/1.44  'class_Lattices_Obounded__lattice'  [86, 1]      (w:1, o:124, a:1, s:1, b:0
% 0.91/1.44    ), 
% 0.91/1.44  'class_OrderedGroup_Oab__group__add'  [90, 1]      (w:1, o:125, a:1, s:1
% 0.91/1.44    , b:0), 
% 0.91/1.44  'c_COMBS'  [91, 5]      (w:1, o:207, a:1, s:1, b:0), 
% 0.91/1.44  'c_Finite__Set_Osetsum'  [92, 4]      (w:1, o:198, a:1, s:1, b:0), 
% 0.91/1.44  'c_Nitpick_Ofold__graph_H'  [93, 6]      (w:1, o:213, a:1, s:1, b:0), 
% 0.91/1.44  'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'  [95, 4]      (w:1, o:199, a:1
% 0.91/1.44    , s:1, b:0), 
% 0.91/1.44  't_a'  [99, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 0.91/1.44  'c_Hoare__Mirabelle_Ohoare__valids'  [100, 3]      (w:1, o:179, a:1, s:1
% 0.91/1.44    , b:0), 
% 0.91/1.44  'tc_Hoare__Mirabelle_Otriple'  [101, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 0.91/1.44  'v_sko__Hoare__Mirabelle__Xhoare__valids__def__3'  [102, 2]      (w:1, o:
% 0.91/1.44    168, a:1, s:1, b:0), 
% 0.91/1.44  'c_fequal'  [103, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 0.91/1.44  'c_Collect'  [104, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 0.91/1.44  'c_COMBI'  [105, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 0.91/1.44  'c_Com_Ocom_OWhile'  [109, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.91/1.44  'c_Com_Ocom_OSKIP'  [110, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 0.91/1.44  'c_Natural_Oevalc'  [112, 3]      (w:1, o:180, a:1, s:1, b:0), 
% 0.91/1.44  'class_Orderings_Obot'  [113, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 0.91/1.44  'c_Com_Ocom_OSemi'  [116, 2]      (w:1, o:171, a:1, s:1, b:0), 
% 0.91/1.44  'c_Com_Ocom_OCond'  [119, 3]      (w:1, o:181, a:1, s:1, b:0), 
% 4.68/5.08  'c_Complete__Lattice_Ocomplete__lattice'  [129, 9]      (w:1, o:215, a:1
% 4.68/5.08    , s:1, b:0), 
% 4.68/5.08  'c_Suc'  [130, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 4.68/5.08  'class_Lattices_Olower__semilattice'  [133, 1]      (w:1, o:131, a:1, s:1
% 4.68/5.08    , b:0), 
% 4.68/5.08  'c_COMBK'  [134, 3]      (w:1, o:182, a:1, s:1, b:0), 
% 4.68/5.08  'class_Orderings_Opreorder'  [135, 1]      (w:1, o:133, a:1, s:1, b:0), 
% 4.68/5.08  'class_Orderings_Oorder'  [136, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 4.68/5.08  'class_Orderings_Olinorder'  [137, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 4.68/5.08  'class_Ring__and__Field_Oordered__idom'  [138, 1]      (w:1, o:135, a:1, s:
% 4.68/5.08    1, b:0), 
% 4.68/5.08  'tc_nat'  [140, 0]      (w:1, o:84, a:1, s:1, b:0), 
% 4.68/5.08  'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'  [142, 2]      (w:1, o:
% 4.68/5.08    167, a:1, s:1, b:0), 
% 4.68/5.08  'c_Hoare__Mirabelle_Otriple__valid'  [143, 3]      (w:1, o:183, a:1, s:1
% 4.68/5.08    , b:0), 
% 4.68/5.08  'class_Complete__Lattice_Ocomplete__lattice'  [144, 1]      (w:1, o:136, a:
% 4.68/5.08    1, s:1, b:0), 
% 4.68/5.08  'c_ATP__Linkup_Osko__Set__XbexCI__1__1'  [155, 3]      (w:1, o:184, a:1, s:
% 4.68/5.08    1, b:0), 
% 4.68/5.08  'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'  [157, 
% 4.68/5.08    3]      (w:1, o:185, a:1, s:1, b:0), 
% 4.68/5.08  'c_SetInterval_Oord_OatLeastLessThan'  [159, 5]      (w:1, o:208, a:1, s:1
% 4.68/5.08    , b:0), 
% 4.68/5.08  'c_SetInterval_Oord_OatLeastAtMost'  [160, 4]      (w:1, o:200, a:1, s:1
% 4.68/5.08    , b:0), 
% 4.68/5.08  'c_SetInterval_Oord_OgreaterThanLessThan'  [161, 4]      (w:1, o:201, a:1
% 4.68/5.08    , s:1, b:0), 
% 4.68/5.08  'c_SetInterval_Oord_OgreaterThanAtMost'  [162, 5]      (w:1, o:209, a:1, s:
% 4.68/5.08    1, b:0), 
% 4.68/5.08  'c_ATP__Linkup_Osko__Set__XbexI__1__1'  [163, 3]      (w:1, o:186, a:1, s:1
% 4.68/5.08    , b:0), 
% 4.68/5.08  'c_ATP__Linkup_Osko__Set__XbexE__1__1'  [164, 3]      (w:1, o:187, a:1, s:1
% 4.68/5.08    , b:0), 
% 4.68/5.08  'c_Hoare__Mirabelle_Otriple_Otriple'  [167, 4]      (w:1, o:202, a:1, s:1
% 4.68/5.08    , b:0), 
% 4.68/5.08  'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'  [170, 5]      (w:1
% 4.68/5.08    , o:210, a:1, s:1, b:0), 
% 4.68/5.08  'class_OrderedGroup_Opordered__ab__group__add'  [172, 1]      (w:1, o:137
% 4.68/5.08    , a:1, s:1, b:0), 
% 4.68/5.08  'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'  [175, 
% 4.68/5.08    4]      (w:1, o:203, a:1, s:1, b:0), 
% 4.68/5.08  'c_ATP__Linkup_Osko__Set__XballE__1__1'  [177, 3]      (w:1, o:188, a:1, s:
% 4.68/5.08    1, b:0), 
% 4.68/5.08  'c_SetInterval_Oord_OatMost'  [178, 3]      (w:1, o:189, a:1, s:1, b:0), 
% 4.68/5.08  'c_SetInterval_Oord_OgreaterThan'  [181, 3]      (w:1, o:190, a:1, s:1, b:0
% 4.68/5.08    ), 
% 4.68/5.08  'c_SetInterval_Oord_OlessThan'  [182, 3]      (w:1, o:191, a:1, s:1, b:0), 
% 4.68/5.08    
% 4.68/5.08  'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'  [183, 3]      (w:1, o:192, a:1
% 4.68/5.08    , s:1, b:0), 
% 4.68/5.08  'c_Natural_Oevaln'  [184, 4]      (w:1, o:204, a:1, s:1, b:0), 
% 4.68/5.08  'c_Natural_Osko__Natural__Xevaln__max2__1__1'  [188, 6]      (w:1, o:214
% 4.68/5.08    , a:1, s:1, b:0), 
% 4.68/5.08  'v_P'  [191, 0]      (w:1, o:91, a:1, s:1, b:0), 
% 4.68/5.08  'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'  [193, 2]      (w:1, o:
% 4.68/5.08    166, a:1, s:1, b:0), 
% 4.68/5.08  'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'  [194, 2]      (w:1, o:
% 4.68/5.08    172, a:1, s:1, b:0), 
% 4.68/5.08  'v_p'  [196, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 4.68/5.08  'v_Z'  [197, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 4.68/5.08  'v_s'  [198, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 4.68/5.08  'c_Hoare__Mirabelle_Opeek__and'  [199, 5]      (w:1, o:211, a:1, s:1, b:0)
% 4.68/5.08    , 
% 4.68/5.08  'c_and'  [200, 2]      (w:1, o:173, a:1, s:1, b:0), 
% 4.68/5.08  't_b'  [203, 0]      (w:1, o:99, a:1, s:1, b:0), 
% 4.68/5.08  'v_Q'  [204, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 4.68/5.08  't_c'  [205, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 4.68/5.08  'v_R'  [206, 0]      (w:1, o:102, a:1, s:1, b:0), 
% 4.68/5.08  'v_c'  [207, 0]      (w:1, o:103, a:1, s:1, b:0), 
% 4.68/5.08  'v_n'  [208, 0]      (w:1, o:104, a:1, s:1, b:0), 
% 4.68/5.08  'v_s1'  [209, 0]      (w:1, o:105, a:1, s:1, b:0), 
% 4.68/5.08  'v_d'  [210, 0]      (w:1, o:106, a:1, s:1, b:0), 
% 4.68/5.08  'v_s_H'  [211, 0]      (w:1, o:107, a:1, s:1, b:0), 
% 4.68/5.08  'v_Ga'  [212, 0]      (w:1, o:108, a:1, s:1, b:0).
% 4.68/5.08  
% 4.68/5.08  
% 4.68/5.08  Starting Search:
% 4.68/5.08  
% 4.68/5.08  Resimplifying inuse:
% 4.68/5.08  Done
% 4.68/5.08  
% 4.68/5.08  
% 4.68/5.08  Intermediate Status:
% 4.68/5.08  Generated:    4210
% 4.68/5.08  Kept:         2001
% 4.68/5.08  Inuse:        173
% 4.68/5.08  Deleted:      2
% 4.68/5.08  Deletedinuse: 0
% 4.68/5.08  
% 4.68/5.08  Resimplifying inuse:
% 4.68/5.08  Done
% 4.68/5.08  
% 4.68/5.08  Resimplifying inuse:
% 4.68/5.08  Done
% 4.68/5.08  
% 4.68/5.08  
% 4.68/5.08  Intermediate Status:
% 4.68/5.08  Generated:    8577
% 4.68/5.08  Kept:         4032
% 4.68/5.08  Inuse:        227
% 4.68/5.08  Deleted:      4
% 4.68/5.08  Deletedinuse: 0
% 4.68/5.08  
% 4.68/5.08  Resimplifying inuse:
% 4.68/5.08  Done
% 4.68/5.08  
% 4.68/5.08  Resimplifying inuse:
% 4.68/5.08  Done
% 4.68/5.08  
% 4.68/5.08  
% 4.68/5.08  Intermediate Status:
% 4.68/5.08  Generated:    14615
% 16.43/16.80  Kept:         6098
% 16.43/16.80  Inuse:        303
% 16.43/16.80  Deleted:      9
% 16.43/16.80  Deletedinuse: 1
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    25299
% 16.43/16.80  Kept:         8795
% 16.43/16.80  Inuse:        378
% 16.43/16.80  Deleted:      10
% 16.43/16.80  Deletedinuse: 1
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    36318
% 16.43/16.80  Kept:         11448
% 16.43/16.80  Inuse:        417
% 16.43/16.80  Deleted:      12
% 16.43/16.80  Deletedinuse: 3
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    45094
% 16.43/16.80  Kept:         13458
% 16.43/16.80  Inuse:        501
% 16.43/16.80  Deleted:      14
% 16.43/16.80  Deletedinuse: 3
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    55111
% 16.43/16.80  Kept:         15467
% 16.43/16.80  Inuse:        586
% 16.43/16.80  Deleted:      18
% 16.43/16.80  Deletedinuse: 5
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    63712
% 16.43/16.80  Kept:         17639
% 16.43/16.80  Inuse:        608
% 16.43/16.80  Deleted:      18
% 16.43/16.80  Deletedinuse: 5
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    71432
% 16.43/16.80  Kept:         19657
% 16.43/16.80  Inuse:        647
% 16.43/16.80  Deleted:      18
% 16.43/16.80  Deletedinuse: 5
% 16.43/16.80  
% 16.43/16.80  Resimplifying clauses:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    79487
% 16.43/16.80  Kept:         21674
% 16.43/16.80  Inuse:        699
% 16.43/16.80  Deleted:      361
% 16.43/16.80  Deletedinuse: 6
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    86278
% 16.43/16.80  Kept:         23680
% 16.43/16.80  Inuse:        739
% 16.43/16.80  Deleted:      362
% 16.43/16.80  Deletedinuse: 6
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    93490
% 16.43/16.80  Kept:         25686
% 16.43/16.80  Inuse:        766
% 16.43/16.80  Deleted:      362
% 16.43/16.80  Deletedinuse: 6
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    102736
% 16.43/16.80  Kept:         28224
% 16.43/16.80  Inuse:        778
% 16.43/16.80  Deleted:      362
% 16.43/16.80  Deletedinuse: 6
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    111175
% 16.43/16.80  Kept:         30508
% 16.43/16.80  Inuse:        783
% 16.43/16.80  Deleted:      362
% 16.43/16.80  Deletedinuse: 6
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    119647
% 16.43/16.80  Kept:         32566
% 16.43/16.80  Inuse:        801
% 16.43/16.80  Deleted:      364
% 16.43/16.80  Deletedinuse: 6
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    132372
% 16.43/16.80  Kept:         35038
% 16.43/16.80  Inuse:        831
% 16.43/16.80  Deleted:      364
% 16.43/16.80  Deletedinuse: 6
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    147478
% 16.43/16.80  Kept:         37309
% 16.43/16.80  Inuse:        841
% 16.43/16.80  Deleted:      364
% 16.43/16.80  Deletedinuse: 6
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    159793
% 16.43/16.80  Kept:         39309
% 16.43/16.80  Inuse:        895
% 16.43/16.80  Deleted:      364
% 16.43/16.80  Deletedinuse: 6
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying clauses:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    178302
% 16.43/16.80  Kept:         41451
% 16.43/16.80  Inuse:        916
% 16.43/16.80  Deleted:      462
% 16.43/16.80  Deletedinuse: 7
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    196579
% 16.43/16.80  Kept:         44370
% 16.43/16.80  Inuse:        926
% 16.43/16.80  Deleted:      462
% 16.43/16.80  Deletedinuse: 7
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    200493
% 16.43/16.80  Kept:         46432
% 16.43/16.80  Inuse:        928
% 16.43/16.80  Deleted:      462
% 16.43/16.80  Deletedinuse: 7
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    213668
% 16.43/16.80  Kept:         48650
% 16.43/16.80  Inuse:        941
% 16.43/16.80  Deleted:      462
% 16.43/16.80  Deletedinuse: 7
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    222581
% 16.43/16.80  Kept:         50658
% 16.43/16.80  Inuse:        973
% 16.43/16.80  Deleted:      462
% 16.43/16.80  Deletedinuse: 7
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    227764
% 16.43/16.80  Kept:         53074
% 16.43/16.80  Inuse:        979
% 16.43/16.80  Deleted:      462
% 16.43/16.80  Deletedinuse: 7
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    236760
% 16.43/16.80  Kept:         55286
% 16.43/16.80  Inuse:        1011
% 16.43/16.80  Deleted:      462
% 16.43/16.80  Deletedinuse: 7
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    252386
% 16.43/16.80  Kept:         58182
% 16.43/16.80  Inuse:        1036
% 16.43/16.80  Deleted:      462
% 16.43/16.80  Deletedinuse: 7
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    256609
% 16.43/16.80  Kept:         60187
% 16.43/16.80  Inuse:        1037
% 16.43/16.80  Deleted:      462
% 16.43/16.80  Deletedinuse: 7
% 16.43/16.80  
% 16.43/16.80  Resimplifying inuse:
% 16.43/16.80  Done
% 16.43/16.80  
% 16.43/16.80  
% 16.43/16.80  Intermediate Status:
% 16.43/16.80  Generated:    260911
% 16.43/16.80  Kept:         62192
% 55.52/55.92  Inuse:        1039
% 55.52/55.92  Deleted:      462
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying clauses:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    268088
% 55.52/55.92  Kept:         64215
% 55.52/55.92  Inuse:        1063
% 55.52/55.92  Deleted:      599
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    279446
% 55.52/55.92  Kept:         66276
% 55.52/55.92  Inuse:        1101
% 55.52/55.92  Deleted:      599
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    289955
% 55.52/55.92  Kept:         68287
% 55.52/55.92  Inuse:        1118
% 55.52/55.92  Deleted:      599
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    300204
% 55.52/55.92  Kept:         70326
% 55.52/55.92  Inuse:        1146
% 55.52/55.92  Deleted:      599
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    313742
% 55.52/55.92  Kept:         73767
% 55.52/55.92  Inuse:        1151
% 55.52/55.92  Deleted:      599
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    327432
% 55.52/55.92  Kept:         77257
% 55.52/55.92  Inuse:        1156
% 55.52/55.92  Deleted:      599
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    338903
% 55.52/55.92  Kept:         79505
% 55.52/55.92  Inuse:        1171
% 55.52/55.92  Deleted:      599
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    347383
% 55.52/55.92  Kept:         81543
% 55.52/55.92  Inuse:        1191
% 55.52/55.92  Deleted:      599
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying clauses:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    355830
% 55.52/55.92  Kept:         83586
% 55.52/55.92  Inuse:        1209
% 55.52/55.92  Deleted:      727
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    374007
% 55.52/55.92  Kept:         87470
% 55.52/55.92  Inuse:        1226
% 55.52/55.92  Deleted:      727
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    381819
% 55.52/55.92  Kept:         89570
% 55.52/55.92  Inuse:        1241
% 55.52/55.92  Deleted:      727
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    390899
% 55.52/55.92  Kept:         91615
% 55.52/55.92  Inuse:        1263
% 55.52/55.92  Deleted:      727
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    399885
% 55.52/55.92  Kept:         93827
% 55.52/55.92  Inuse:        1286
% 55.52/55.92  Deleted:      727
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    424321
% 55.52/55.92  Kept:         96223
% 55.52/55.92  Inuse:        1296
% 55.52/55.92  Deleted:      727
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    438869
% 55.52/55.92  Kept:         98242
% 55.52/55.92  Inuse:        1306
% 55.52/55.92  Deleted:      727
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    448822
% 55.52/55.92  Kept:         100449
% 55.52/55.92  Inuse:        1321
% 55.52/55.92  Deleted:      727
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying clauses:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    461333
% 55.52/55.92  Kept:         102461
% 55.52/55.92  Inuse:        1348
% 55.52/55.92  Deleted:      767
% 55.52/55.92  Deletedinuse: 7
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    478639
% 55.52/55.92  Kept:         105397
% 55.52/55.92  Inuse:        1376
% 55.52/55.92  Deleted:      768
% 55.52/55.92  Deletedinuse: 8
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    499921
% 55.52/55.92  Kept:         109545
% 55.52/55.92  Inuse:        1386
% 55.52/55.92  Deleted:      768
% 55.52/55.92  Deletedinuse: 8
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    515566
% 55.52/55.92  Kept:         111594
% 55.52/55.92  Inuse:        1416
% 55.52/55.92  Deleted:      768
% 55.52/55.92  Deletedinuse: 8
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    531705
% 55.52/55.92  Kept:         113861
% 55.52/55.92  Inuse:        1446
% 55.52/55.92  Deleted:      768
% 55.52/55.92  Deletedinuse: 8
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    542081
% 55.52/55.92  Kept:         115888
% 55.52/55.92  Inuse:        1468
% 55.52/55.92  Deleted:      768
% 55.52/55.92  Deletedinuse: 8
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    555439
% 55.52/55.92  Kept:         118207
% 55.52/55.92  Inuse:        1471
% 55.52/55.92  Deleted:      768
% 55.52/55.92  Deletedinuse: 8
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  
% 55.52/55.92  Intermediate Status:
% 55.52/55.92  Generated:    569329
% 55.52/55.92  Kept:         120579
% 55.52/55.92  Inuse:        1476
% 55.52/55.92  Deleted:      768
% 55.52/55.92  Deletedinuse: 8
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 55.52/55.92  Done
% 55.52/55.92  
% 55.52/55.92  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying clauses:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    595119
% 130.58/131.05  Kept:         122767
% 130.58/131.05  Inuse:        1501
% 130.58/131.05  Deleted:      17616
% 130.58/131.05  Deletedinuse: 8
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    614207
% 130.58/131.05  Kept:         125362
% 130.58/131.05  Inuse:        1531
% 130.58/131.05  Deleted:      17663
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    624651
% 130.58/131.05  Kept:         127424
% 130.58/131.05  Inuse:        1554
% 130.58/131.05  Deleted:      17663
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    637138
% 130.58/131.05  Kept:         129445
% 130.58/131.05  Inuse:        1594
% 130.58/131.05  Deleted:      17663
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    644765
% 130.58/131.05  Kept:         131460
% 130.58/131.05  Inuse:        1614
% 130.58/131.05  Deleted:      17663
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    658265
% 130.58/131.05  Kept:         139190
% 130.58/131.05  Inuse:        1616
% 130.58/131.05  Deleted:      17663
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    692162
% 130.58/131.05  Kept:         141212
% 130.58/131.05  Inuse:        1645
% 130.58/131.05  Deleted:      17663
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying clauses:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    723688
% 130.58/131.05  Kept:         143345
% 130.58/131.05  Inuse:        1696
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    784986
% 130.58/131.05  Kept:         145355
% 130.58/131.05  Inuse:        1748
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    828333
% 130.58/131.05  Kept:         147361
% 130.58/131.05  Inuse:        1810
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    866402
% 130.58/131.05  Kept:         149378
% 130.58/131.05  Inuse:        1874
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    898927
% 130.58/131.05  Kept:         151399
% 130.58/131.05  Inuse:        1928
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    926841
% 130.58/131.05  Kept:         154125
% 130.58/131.05  Inuse:        1975
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    942574
% 130.58/131.05  Kept:         156131
% 130.58/131.05  Inuse:        1997
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    973774
% 130.58/131.05  Kept:         158143
% 130.58/131.05  Inuse:        2054
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    1007922
% 130.58/131.05  Kept:         160230
% 130.58/131.05  Inuse:        2103
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    1044601
% 130.58/131.05  Kept:         162237
% 130.58/131.05  Inuse:        2172
% 130.58/131.05  Deleted:      17705
% 130.58/131.05  Deletedinuse: 55
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying clauses:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    1081906
% 130.58/131.05  Kept:         164240
% 130.58/131.05  Inuse:        2237
% 130.58/131.05  Deleted:      17784
% 130.58/131.05  Deletedinuse: 56
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    1134543
% 130.58/131.05  Kept:         166266
% 130.58/131.05  Inuse:        2338
% 130.58/131.05  Deleted:      17784
% 130.58/131.05  Deletedinuse: 56
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    1188535
% 130.58/131.05  Kept:         180577
% 130.58/131.05  Inuse:        2397
% 130.58/131.05  Deleted:      17785
% 130.58/131.05  Deletedinuse: 56
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying clauses:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    1220334
% 130.58/131.05  Kept:         182613
% 130.58/131.05  Inuse:        2443
% 130.58/131.05  Deleted:      17831
% 130.58/131.05  Deletedinuse: 56
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    1242255
% 130.58/131.05  Kept:         184665
% 130.58/131.05  Inuse:        2472
% 130.58/131.05  Deleted:      17831
% 130.58/131.05  Deletedinuse: 56
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 130.58/131.05  Generated:    1277064
% 130.58/131.05  Kept:         186692
% 130.58/131.05  Inuse:        2529
% 130.58/131.05  Deleted:      17831
% 130.58/131.05  Deletedinuse: 56
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  Resimplifying inuse:
% 130.58/131.05  Done
% 130.58/131.05  
% 130.58/131.05  
% 130.58/131.05  Intermediate Status:
% 259.32/259.81  Generated:    1298527
% 259.32/259.81  Kept:         188731
% 259.32/259.81  Inuse:        2569
% 259.32/259.81  Deleted:      17847
% 259.32/259.81  Deletedinuse: 72
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1324632
% 259.32/259.81  Kept:         190740
% 259.32/259.81  Inuse:        2614
% 259.32/259.81  Deleted:      17884
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1354431
% 259.32/259.81  Kept:         192774
% 259.32/259.81  Inuse:        2663
% 259.32/259.81  Deleted:      17884
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1406084
% 259.32/259.81  Kept:         197182
% 259.32/259.81  Inuse:        2710
% 259.32/259.81  Deleted:      17884
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1431474
% 259.32/259.81  Kept:         199901
% 259.32/259.81  Inuse:        2715
% 259.32/259.81  Deleted:      17884
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1445016
% 259.32/259.81  Kept:         202001
% 259.32/259.81  Inuse:        2742
% 259.32/259.81  Deleted:      17884
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying clauses:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1458097
% 259.32/259.81  Kept:         204034
% 259.32/259.81  Inuse:        2766
% 259.32/259.81  Deleted:      21121
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1476910
% 259.32/259.81  Kept:         206151
% 259.32/259.81  Inuse:        2802
% 259.32/259.81  Deleted:      21121
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1491982
% 259.32/259.81  Kept:         208187
% 259.32/259.81  Inuse:        2827
% 259.32/259.81  Deleted:      21121
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1529067
% 259.32/259.81  Kept:         222829
% 259.32/259.81  Inuse:        2846
% 259.32/259.81  Deleted:      21121
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying clauses:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1549418
% 259.32/259.81  Kept:         224874
% 259.32/259.81  Inuse:        2886
% 259.32/259.81  Deleted:      21134
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1572318
% 259.32/259.81  Kept:         226926
% 259.32/259.81  Inuse:        2931
% 259.32/259.81  Deleted:      21134
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1589835
% 259.32/259.81  Kept:         228993
% 259.32/259.81  Inuse:        2962
% 259.32/259.81  Deleted:      21134
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1607832
% 259.32/259.81  Kept:         231061
% 259.32/259.81  Inuse:        2992
% 259.32/259.81  Deleted:      21134
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1636988
% 259.32/259.81  Kept:         240121
% 259.32/259.81  Inuse:        3016
% 259.32/259.81  Deleted:      21134
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1659497
% 259.32/259.81  Kept:         242158
% 259.32/259.81  Inuse:        3050
% 259.32/259.81  Deleted:      21134
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying clauses:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1676984
% 259.32/259.81  Kept:         244237
% 259.32/259.81  Inuse:        3078
% 259.32/259.81  Deleted:      21251
% 259.32/259.81  Deletedinuse: 109
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1691803
% 259.32/259.81  Kept:         246251
% 259.32/259.81  Inuse:        3103
% 259.32/259.81  Deleted:      21259
% 259.32/259.81  Deletedinuse: 117
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1701834
% 259.32/259.81  Kept:         248285
% 259.32/259.81  Inuse:        3116
% 259.32/259.81  Deleted:      21261
% 259.32/259.81  Deletedinuse: 119
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1733353
% 259.32/259.81  Kept:         254732
% 259.32/259.81  Inuse:        3119
% 259.32/259.81  Deleted:      21263
% 259.32/259.81  Deletedinuse: 121
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1755738
% 259.32/259.81  Kept:         256742
% 259.32/259.81  Inuse:        3163
% 259.32/259.81  Deleted:      21263
% 259.32/259.81  Deletedinuse: 121
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1801304
% 259.32/259.81  Kept:         266802
% 259.32/259.81  Inuse:        3204
% 259.32/259.81  Deleted:      21263
% 259.32/259.81  Deletedinuse: 121
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying clauses:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  Intermediate Status:
% 259.32/259.81  Generated:    1812833
% 259.32/259.81  Kept:         268866
% 259.32/259.81  Inuse:        3222
% 259.32/259.81  Deleted:      22740
% 259.32/259.81  Deletedinuse: 121
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  Resimplifying inuse:
% 259.32/259.81  Done
% 259.32/259.81  
% 259.32/259.81  
% 259.32/259.81  IntermediCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------