TSTP Solution File: SWV845-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV845-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 16:28:48 EDT 2022

% Result   : Timeout 300.07s 300.51s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV845-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14  % Command  : bliksem %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Wed Jun 15 08:42:18 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.89/1.25  *** allocated 10000 integers for termspace/termends
% 0.89/1.25  *** allocated 10000 integers for clauses
% 0.89/1.25  *** allocated 10000 integers for justifications
% 0.89/1.25  *** allocated 15000 integers for termspace/termends
% 0.89/1.25  Bliksem 1.12
% 0.89/1.25  
% 0.89/1.25  
% 0.89/1.25  Automatic Strategy Selection
% 0.89/1.25  
% 0.89/1.25  Clauses:
% 0.89/1.25  [
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 0.89/1.25    'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.89/1.25    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.25    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.89/1.25    , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U, 
% 0.89/1.25    Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.89/1.25    , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.89/1.25    Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    Z, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    T, Z, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    Z, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    T, Z, X ), X ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.89/1.25    , ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25     ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Collect'( T, Z ), 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.25    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.25     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.89/1.25    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.89/1.25    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.25     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.25    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( 
% 0.89/1.25    hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( 
% 0.89/1.25    hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_ATP__Linkup_Osko__Set__Xmk__disjoint__insert__1__1'( Y, X, Z ), Z ) )
% 0.89/1.25     ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, 'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( Y
% 0.89/1.25    , X, Z ), Z ) ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.89/1.25    , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.25    'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.25    , T, X ) ) ), =( Z, T ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.89/1.25     ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.25    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.25     [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevaln'( Z, Y, T, U ), ~( 
% 0.89/1.25    'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Z, W ), Y, T, U ) ) ],
% 0.89/1.25     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~( 
% 0.89/1.25    'c_Natural_Oevaln'( Y, T, U, W ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), X ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( X, T ), 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), T ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.25     ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.89/1.25     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25     ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25    , X ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.89/1.25    , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'( 
% 0.89/1.25    'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.89/1.25    , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( hAPP( X, Y ), 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.25    , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.89/1.25     ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.89/1.25     [ =( 'c_Collect'( X, Y ), X ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.89/1.25     [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ), 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.89/1.25    , =( Z, W ) ],
% 0.89/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.89/1.25    , =( Y, U ) ],
% 0.89/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.89/1.25    , =( X, T ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Set_Oimage'( X, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 0.89/1.25    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.89/1.25    , U ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 0.89/1.25    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.89/1.25    , U ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 0.89/1.25    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( 
% 0.89/1.25    T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.89/1.25    , Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ), 
% 0.89/1.25    ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ), 
% 0.89/1.25    ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.25     [ 'c_Natural_Oevaln'( X, Y, Z, T ), hBOOL( hAPP( U, Y ) ), ~( 
% 0.89/1.25    'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( U, W, X ), Y, Z, T ) ) ],
% 0.89/1.25     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~( 
% 0.89/1.25    'c_Natural_Oevaln'( Z, T, U, W ) ), hBOOL( hAPP( X, T ) ) ],
% 0.89/1.25     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25     ), =( Z, Y ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.25    , T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.25    , T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.89/1.25    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.89/1.25    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.25    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.25    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.89/1.25     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.89/1.25    , V3, V4, U ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.89/1.25     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.89/1.25    , V3, V4, U ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.89/1.25    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.89/1.25    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.89/1.25    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.89/1.25    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.89/1.25    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.89/1.25     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.89/1.25    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 
% 0.89/1.25    'c_in'( X, T, Y ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.89/1.25    hBOOL( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.89/1.25    hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.25    , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.89/1.25    'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 0.89/1.25    , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'( 
% 0.89/1.25    X, Y, Z, U, T, T ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.89/1.25    hAPP( X, Y ), W ), U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~( 
% 0.89/1.25    'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U ) ), ~( 
% 0.89/1.25    'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), U ), W, U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~( hBOOL( 
% 0.89/1.25    'c_in'( Y, T, U ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U
% 0.89/1.25     ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ), Y, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.89/1.25    , V2, Z, Y ) ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.89/1.25    , Z, V2, Y ) ) ],
% 0.89/1.25     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.25     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.89/1.25    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.25    , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.25     [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), X ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.89/1.25    X, 'tc_bool' ) ), Y ) ],
% 0.89/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.25     [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.89/1.25    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25     ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.25     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.89/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25     ) ), Z, X ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.25    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.89/1.25    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), X ), X ), X ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.25    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.89/1.25    'tc_bool' ) ), X ), X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.89/1.25    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.89/1.25    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.25    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, 
% 0.89/1.25    V2, V3, V4, T ) ) ],
% 0.89/1.25     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.25    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.89/1.25    , U, V3, V4, T ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.25    , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.25    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.25    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), 
% 0.89/1.25    'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.89/1.25     [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), 
% 0.89/1.25    'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'( 
% 0.89/1.25    'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ],
% 0.89/1.25     [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z ), hBOOL( 
% 0.89/1.25    hAPP( X, Z ) ) ],
% 0.89/1.25     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U ), ~( 
% 0.89/1.25    'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~( 
% 0.89/1.25    'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.89/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y, 
% 0.89/1.25    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.89/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.89/1.25     [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.89/1.25     ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, 
% 0.89/1.25    Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'( 
% 0.89/1.25    W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.25    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25     ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.89/1.25    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.89/1.25    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, 
% 0.89/1.25    Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.25    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 0.89/1.25    hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.89/1.25     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.89/1.25    =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.89/1.25    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.89/1.25    'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.25    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.25    'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ), 
% 0.89/1.25    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'( 
% 0.89/1.25    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.89/1.25    Z, Y, X ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.25    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.25    , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.25    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.25    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.89/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 0.89/1.25    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.25    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.25    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.89/1.25    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.89/1.26    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T, 
% 0.89/1.26    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 
% 0.89/1.26    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.89/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.89/1.26    'tc_bool' ) ), X ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.26    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.89/1.26    Y, X ), Z, X ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.26    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.26    T, X ), Z, X ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.89/1.26    'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.89/1.26    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.26    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.89/1.26    Y, X ), Z, X ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.26    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.89/1.26    T, X ), Z, X ) ) ],
% 0.89/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.26     ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.89/1.26     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.26    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.26     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.26     ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.26     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.26     ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.26    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.26     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.26     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.26    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.89/1.26    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.26    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.26    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.26    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.89/1.26    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.26     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.26    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.26    , X ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.26    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.26    , X ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.26    'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.89/1.26    , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( 
% 0.89/1.26    X, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.26    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.89/1.26    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.26    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.89/1.26    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.26    T, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.26    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.89/1.26    'c_lessequals'( Y, Z, X ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.89/1.26    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.89/1.26    'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.26     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.26    Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.26    'c_Collect'( Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Z
% 0.89/1.26    , X ) ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.89/1.26     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.89/1.26    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.26    T, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.89/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'( 
% 0.89/1.26    U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.26    Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.89/1.26    X, T, U ), Z ) ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.89/1.26    hAPP( X, U ) ) ) ) ],
% 0.89/1.26     [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.89/1.26     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.89/1.26    hAPP( X, T ) ) ) ],
% 0.89/1.26     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.26    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.89/1.26    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.26    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.26    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.26    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.26    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 0.89/1.26    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.26     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.26    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.89/1.26    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.26     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.89/1.26    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.89/1.26    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.89/1.26    'tc_bool' ) ) ],
% 0.89/1.26     [ 'c_Natural_Oevaln'( X, Y, Z, T ), 'c_Natural_Oevaln'( U, Y, Z, T ), 
% 0.89/1.26    ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( W, U, X ), Y, Z, T ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.26     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.26     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.26     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.89/1.26    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.89/1.26    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.26     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.26     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.26    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.26     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.26     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.26    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.89/1.26    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.26    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.89/1.26     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.26    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.89/1.26    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.89/1.26    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.89/1.26     ],
% 0.89/1.26     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.89/1.26    Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'( 
% 0.89/1.26    Y, Z, X ) ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.26    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.26    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.89/1.26    'c_lessequals'( Z, Y, X ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.26    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.26    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.26     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.89/1.26    hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Set__Xequals0I__1__1'( X, Y ), X, Y )
% 0.89/1.26     ) ],
% 0.89/1.26     [ =( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_ATP__Linkup_Osko__Set__Xmk__disjoint__insert__1__1'( X, Y, Z ), Z ) )
% 0.89/1.26    , ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.89/1.26     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.26     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.89/1.26    'c_in'( X, T, Z ) ) ) ],
% 0.89/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.26    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.89/1.26    'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.89/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.26    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.26     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.26    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 
% 0.89/1.26    'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 
% 0.89/1.26    'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( 
% 0.89/1.26    T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.89/1.26    Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.26     [ =( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( X, Y, Z ), Z ) ), ~( hBOOL( 
% 0.89/1.26    'c_in'( Y, X, Z ) ) ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, 
% 0.89/1.26    Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.89/1.26    'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.89/1.26     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.26     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.89/1.26    'c_in'( Y, X, T ) ) ],
% 0.89/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.26    , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ) ) ],
% 0.89/1.26     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.26     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.89/1.26    'c_in'( Y, X, T ) ) ],
% 0.89/1.26     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.26    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'( 
% 0.89/1.26    T, X, Z ) ) ],
% 0.89/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.26    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.89/1.26    'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.89/1.26     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.26    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.26    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.89/1.26     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.89/1.26    hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W, 
% 0.89/1.26    U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.89/1.26     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.89/1.26    hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.89/1.26     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.26    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), 'c_Set_Oinsert'( X, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ],
% 0.89/1.26     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.26    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.26    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.89/1.26    Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.89/1.26    'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.89/1.26     ) ],
% 0.89/1.26     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.89/1.26    'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.89/1.26     ) ],
% 0.89/1.26     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.26    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.26     ],
% 0.89/1.26     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Y, 'tc_bool' ) ), Y ), 
% 0.89/1.26    'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.89/1.26     ],
% 0.89/1.26     [ =( 'c_Set_Oinsert'( X, 
% 0.89/1.26    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.89/1.26    'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.89/1.26     ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.26    'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.26     ],
% 0.89/1.26     [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.89/1.26     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.89/1.26    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.89/1.26    , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.89/1.26     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.89/1.26    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.26    , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.89/1.26     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.89/1.26    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.89/1.26    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.89/1.26    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.26    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.26    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.26    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, 
% 0.89/1.26    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.26    'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.89/1.26     [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.89/1.26     ],
% 0.89/1.26     [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ), 
% 0.89/1.26    ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.89/1.26     [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.89/1.26     ],
% 0.89/1.26     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.89/1.26    'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.26     ],
% 0.89/1.26     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.89/1.26    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.89/1.26    Y, Z ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.89/1.26    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.89/1.26    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.89/1.26    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.26     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.89/1.26    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.26     ],
% 0.89/1.26     [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.89/1.26     ), X ) ],
% 0.89/1.26     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z, 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~( 
% 0.89/1.26    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~( 
% 0.89/1.26    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.26    T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.89/1.26     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.26    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~( 
% 0.89/1.26    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T, 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.89/1.26     ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~( 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple__valid'( W, 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, X, 't_a' ), 't_a' ) ) ],
% 0.89/1.26     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( 'c_in'( 
% 0.89/1.26    Y, Z, 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ) ), hBOOL( 'c_in'( 
% 0.89/1.26    'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), Z, 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ) ],
% 0.89/1.26     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.89/1.26    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( 
% 0.89/1.26    'c_in'( X, Y, Z ) ) ) ],
% 0.89/1.26     [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X, 
% 0.89/1.26    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.89/1.26    'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ), 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ), 
% 0.89/1.26    T ) ) ],
% 0.89/1.26     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~( 
% 0.89/1.26    'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.89/1.26     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.89/1.26    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.89/1.26    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.89/1.26    , Z ) ) ],
% 0.89/1.26     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OCond'( Z, T, U ), W
% 0.89/1.26    , V0 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( V0 ), 'tc_bool' ) ), 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( V0 ) ), V0 ), ~( 
% 0.89/1.26    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Y
% 0.89/1.26    , 'c_Fun_Ocomp'( 'c_Not', Z, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), V0
% 0.89/1.26     ), U, W, V0 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( V0 ), 'tc_bool' ) ), 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( V0 ) ), V0 ) ), ~( 
% 0.89/1.26    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Y
% 0.89/1.26    , Z, V0 ), T, W, V0 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( V0 ), 'tc_bool' ) ), 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( V0 ) ), V0 ) ) ],
% 0.89/1.26     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OWhile'( Z, T ), 
% 0.89/1.26    'c_Hoare__Mirabelle_Opeek__and'( Y, 'c_Fun_Ocomp'( 'c_Not', Z, 'tc_bool'
% 0.89/1.26    , 'tc_bool', 'tc_Com_Ostate' ), U ), U ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ), 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~( 
% 0.89/1.26    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Y
% 0.89/1.26    , Z, U ), T, Y, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ), 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.89/1.26     [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP( 
% 0.89/1.26    'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.89/1.26    , V4 ), W ) ) ],
% 0.89/1.26     [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.89/1.26     ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.89/1.26    X, Z, T ) ) ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.89/1.26    X, Z, T ) ) ) ],
% 0.89/1.26     [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.89/1.26    , 'v_x' ) ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.26     [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ), 
% 0.89/1.26    'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.89/1.26     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.26    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.26    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.26     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.89/1.26    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.26     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.89/1.26    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.26     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.89/1.26     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.89/1.26     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.89/1.26     ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.26    't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.89/1.26     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.26    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.26     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.26    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.26     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.26    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.26     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.26    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, 
% 0.89/1.26    'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.89/1.26     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.26     ) ), Y ) ) ) ],
% 0.89/1.26     [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.89/1.26     ) ],
% 0.89/1.26     [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.89/1.26     ) ],
% 0.89/1.26     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.89/1.26    X, T ), Y ) ) ) ],
% 0.89/1.26     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.89/1.26    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.26     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.26     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.26     [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.89/1.26     ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.26     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.89/1.26    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.26     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.89/1.26     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.89/1.26    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.26     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.26    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.26     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.89/1.26    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.89/1.26     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.26     ) ) ],
% 0.89/1.26     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.89/1.26    hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.89/1.26     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.89/1.26    =( X, Z ) ],
% 0.89/1.26     [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ), 
% 0.89/1.26    =( Y, T ) ],
% 0.89/1.26     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ hBOOL( 'c_in'( 'v_xa', 'c_Set_Oinsert'( 
% 0.89/1.26    'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'c_Com_Ocom_OWhile'( 'v_b', 
% 0.89/1.26    'v_c' ), 'c_Hoare__Mirabelle_Opeek__and'( 'v_P', 'c_Fun_Ocomp'( 'c_Not', 
% 0.89/1.26    'v_b', 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), 't_a' ), 't_a' ), 
% 0.89/1.26    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.26    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ) ],
% 0.89/1.26     [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa', 't_a' ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' ), ~( hBOOL( 
% 0.89/1.26    'c_in'( X, 'v_G', 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ) ) ],
% 0.89/1.26     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( 'c_in'( 
% 0.89/1.26    Y, 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 
% 0.89/1.26    'c_Hoare__Mirabelle_Opeek__and'( 'v_P', 'v_b', 't_a' ), 'v_c', 'v_P', 
% 0.89/1.26    't_a' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.26    't_a' ) ) ) ), hBOOL( 'c_in'( 'v_n'( X ), 'v_G', 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ) ],
% 0.89/1.26     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( 'c_in'( 
% 0.89/1.26    Y, 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 
% 0.89/1.26    'c_Hoare__Mirabelle_Opeek__and'( 'v_P', 'v_b', 't_a' ), 'v_c', 'v_P', 
% 0.89/1.26    't_a' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 
% 0.89/1.26    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.89/1.26    't_a' ) ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_n'( X ), 
% 0.89/1.26    't_a' ) ) ],
% 0.89/1.26     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.26    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.26     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.26    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.26     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.26    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.26     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.26    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.89/1.26     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.26    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.26     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.26    'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.26     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.26    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.26     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.26    'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.26     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.89/1.26    Y ) ) ],
% 0.89/1.26     [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.26    ,
% 0.89/1.26     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.26     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.26     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 2.03/2.42     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 2.03/2.42     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 2.03/2.42     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 2.03/2.42     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 2.03/2.42     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 2.03/2.42     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 2.03/2.42     [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 2.03/2.42     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 2.03/2.42     [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 2.03/2.42     [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 2.03/2.42  ] .
% 2.03/2.42  
% 2.03/2.42  
% 2.03/2.42  percentage equality = 0.267913, percentage horn = 0.882086
% 2.03/2.42  This is a problem with some equality
% 2.03/2.42  
% 2.03/2.42  
% 2.03/2.42  
% 2.03/2.42  Options Used:
% 2.03/2.42  
% 2.03/2.42  useres =            1
% 2.03/2.42  useparamod =        1
% 2.03/2.42  useeqrefl =         1
% 2.03/2.42  useeqfact =         1
% 2.03/2.42  usefactor =         1
% 2.03/2.42  usesimpsplitting =  0
% 2.03/2.42  usesimpdemod =      5
% 2.03/2.42  usesimpres =        3
% 2.03/2.42  
% 2.03/2.42  resimpinuse      =  1000
% 2.03/2.42  resimpclauses =     20000
% 2.03/2.42  substype =          eqrewr
% 2.03/2.42  backwardsubs =      1
% 2.03/2.42  selectoldest =      5
% 2.03/2.42  
% 2.03/2.42  litorderings [0] =  split
% 2.03/2.42  litorderings [1] =  extend the termordering, first sorting on arguments
% 2.03/2.42  
% 2.03/2.42  termordering =      kbo
% 2.03/2.42  
% 2.03/2.42  litapriori =        0
% 2.03/2.42  termapriori =       1
% 2.03/2.42  litaposteriori =    0
% 2.03/2.42  termaposteriori =   0
% 2.03/2.42  demodaposteriori =  0
% 2.03/2.42  ordereqreflfact =   0
% 2.03/2.42  
% 2.03/2.42  litselect =         negord
% 2.03/2.42  
% 2.03/2.42  maxweight =         15
% 2.03/2.42  maxdepth =          30000
% 2.03/2.42  maxlength =         115
% 2.03/2.42  maxnrvars =         195
% 2.03/2.42  excuselevel =       1
% 2.03/2.42  increasemaxweight = 1
% 2.03/2.42  
% 2.03/2.42  maxselected =       10000000
% 2.03/2.42  maxnrclauses =      10000000
% 2.03/2.42  
% 2.03/2.42  showgenerated =    0
% 2.03/2.42  showkept =         0
% 2.03/2.42  showselected =     0
% 2.03/2.42  showdeleted =      0
% 2.03/2.42  showresimp =       1
% 2.03/2.42  showstatus =       2000
% 2.03/2.42  
% 2.03/2.42  prologoutput =     1
% 2.03/2.42  nrgoals =          5000000
% 2.03/2.42  totalproof =       1
% 2.03/2.42  
% 2.03/2.42  Symbols occurring in the translation:
% 2.03/2.42  
% 2.03/2.42  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 2.03/2.42  .  [1, 2]      (w:1, o:120, a:1, s:1, b:0), 
% 2.03/2.42  !  [4, 1]      (w:0, o:96, a:1, s:1, b:0), 
% 2.03/2.42  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 2.03/2.42  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 2.03/2.42  'tc_bool'  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 2.03/2.42  'tc_fun'  [43, 2]      (w:1, o:145, a:1, s:1, b:0), 
% 2.03/2.42  'c_Lattices_Olower__semilattice__class_Oinf'  [44, 3]      (w:1, o:160, a:1
% 2.03/2.42    , s:1, b:0), 
% 2.03/2.42  'c_lessequals'  [45, 3]      (w:1, o:161, a:1, s:1, b:0), 
% 2.03/2.42  'class_Lattices_Olower__semilattice'  [46, 1]      (w:1, o:101, a:1, s:1
% 2.03/2.42    , b:0), 
% 2.03/2.42  'c_Lattices_Oupper__semilattice__class_Osup'  [49, 3]      (w:1, o:162, a:1
% 2.03/2.42    , s:1, b:0), 
% 2.03/2.42  'class_Lattices_Oupper__semilattice'  [51, 1]      (w:1, o:102, a:1, s:1
% 2.03/2.42    , b:0), 
% 2.03/2.42  'class_Lattices_Olattice'  [55, 1]      (w:1, o:103, a:1, s:1, b:0), 
% 2.03/2.42  'c_HOL_Ominus__class_Ominus'  [56, 3]      (w:1, o:163, a:1, s:1, b:0), 
% 2.03/2.42  'c_COMBK'  [59, 3]      (w:1, o:164, a:1, s:1, b:0), 
% 2.03/2.42  'c_Orderings_Obot__class_Obot'  [60, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 2.03/2.42  'c_Set_Oimage'  [61, 4]      (w:1, o:177, a:1, s:1, b:0), 
% 2.03/2.42  'class_Complete__Lattice_Ocomplete__lattice'  [62, 1]      (w:1, o:105, a:1
% 2.03/2.42    , s:1, b:0), 
% 2.03/2.42  'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'  [64, 4]      (w:1
% 2.03/2.42    , o:178, a:1, s:1, b:0), 
% 2.03/2.42  'c_Set_Ovimage'  [66, 4]      (w:1, o:179, a:1, s:1, b:0), 
% 2.03/2.42  'class_HOL_Ominus'  [67, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 2.03/2.42  't_a'  [68, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 2.03/2.42  'v_x'  [69, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 2.03/2.42  hAPP  [70, 2]      (w:1, o:146, a:1, s:1, b:0), 
% 2.03/2.42  'c_Set_Oinsert'  [71, 3]      (w:1, o:165, a:1, s:1, b:0), 
% 2.03/2.42  'c_HOL_Oord__class_Oless'  [72, 3]      (w:1, o:166, a:1, s:1, b:0), 
% 2.03/2.42  'class_Orderings_Oorder'  [73, 1]      (w:1, o:107, a:1, s:1, b:0), 
% 2.03/2.42  'c_SetInterval_Oord__class_OatLeastAtMost'  [75, 3]      (w:1, o:167, a:1
% 2.03/2.42    , s:1, b:0), 
% 2.03/2.42  'c_in'  [76, 3]      (w:1, o:168, a:1, s:1, b:0), 
% 2.03/2.42  hBOOL  [77, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 2.03/2.42  'c_Collect'  [79, 2]      (w:1, o:147, a:1, s:1, b:0), 
% 2.03/2.42  'class_HOL_Oord'  [80, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 2.03/2.42  'c_ATP__Linkup_Osko__Set__Xmk__disjoint__insert__1__1'  [83, 3]      (w:1
% 2.03/2.42    , o:169, a:1, s:1, b:0), 
% 2.03/2.42  'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'  [84, 3]      (w:1, o:170, a:
% 2.03/2.42    1, s:1, b:0), 
% 2.03/2.42  'class_OrderedGroup_Oab__group__add'  [85, 1]      (w:1, o:110, a:1, s:1
% 2.03/2.42    , b:0), 
% 2.03/2.42  'class_Orderings_Opreorder'  [89, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 2.03/2.42  'class_Orderings_Olinorder'  [90, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 9.74/10.13  'c_Natural_Oevaln'  [95, 4]      (w:1, o:180, a:1, s:1, b:0), 
% 9.74/10.13  'c_Com_Ocom_OCond'  [97, 3]      (w:1, o:171, a:1, s:1, b:0), 
% 9.74/10.13  'class_Lattices_Odistrib__lattice'  [100, 1]      (w:1, o:113, a:1, s:1, b:
% 9.74/10.13    0), 
% 9.74/10.13  'c_Finite__Set_Ofold1'  [101, 3]      (w:1, o:172, a:1, s:1, b:0), 
% 9.74/10.13  'c_Finite__Set_Ofold1Set'  [102, 3]      (w:1, o:173, a:1, s:1, b:0), 
% 9.74/10.13  'c_The'  [103, 2]      (w:1, o:149, a:1, s:1, b:0), 
% 9.74/10.13  'c_Complete__Lattice_OInf__class_OInf'  [105, 2]      (w:1, o:150, a:1, s:1
% 9.74/10.13    , b:0), 
% 9.74/10.13  'c_Complete__Lattice_OSup__class_OSup'  [106, 2]      (w:1, o:151, a:1, s:1
% 9.74/10.13    , b:0), 
% 9.74/10.13  'c_OrderedGroup_Oab__semigroup__mult'  [116, 2]      (w:1, o:153, a:1, s:1
% 9.74/10.13    , b:0), 
% 9.74/10.13  'class_Ring__and__Field_Oordered__idom'  [118, 1]      (w:1, o:114, a:1, s:
% 9.74/10.13    1, b:0), 
% 9.74/10.13  'c_Complete__Lattice_Ocomplete__lattice'  [127, 9]      (w:1, o:184, a:1
% 9.74/10.13    , s:1, b:0), 
% 9.74/10.13  'c_Finite__Set_Ofold__graph'  [129, 6]      (w:1, o:183, a:1, s:1, b:0), 
% 9.74/10.13  'class_Lattices_Obounded__lattice'  [130, 1]      (w:1, o:115, a:1, s:1, b:
% 9.74/10.13    0), 
% 9.74/10.13  'class_Orderings_Obot'  [131, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 9.74/10.13  'c_Fun_Ocomp'  [133, 5]      (w:1, o:182, a:1, s:1, b:0), 
% 9.74/10.13  'c_Com_Ocom_OWhile'  [135, 2]      (w:1, o:154, a:1, s:1, b:0), 
% 9.74/10.13  'c_Hoare__Mirabelle_Ohoare__derivs'  [141, 3]      (w:1, o:174, a:1, s:1
% 9.74/10.13    , b:0), 
% 9.74/10.13  'tc_Hoare__Mirabelle_Otriple'  [142, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 9.74/10.13  'c_fequal'  [144, 2]      (w:1, o:155, a:1, s:1, b:0), 
% 9.74/10.13  'class_OrderedGroup_Opordered__ab__group__add'  [145, 1]      (w:1, o:118
% 9.74/10.13    , a:1, s:1, b:0), 
% 9.74/10.13  'c_ATP__Linkup_Osko__Set__Xequals0I__1__1'  [146, 2]      (w:1, o:156, a:1
% 9.74/10.13    , s:1, b:0), 
% 9.74/10.13  'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'  [147, 2]      (w:1, o:152, a:1
% 9.74/10.13    , s:1, b:0), 
% 9.74/10.13  'c_Finite__Set_Olinorder__class_OMin'  [148, 2]      (w:1, o:157, a:1, s:1
% 9.74/10.13    , b:0), 
% 9.74/10.13  'c_Set_Ocontents'  [149, 2]      (w:1, o:148, a:1, s:1, b:0), 
% 9.74/10.13  'c_Finite__Set_Olinorder__class_OMax'  [150, 2]      (w:1, o:158, a:1, s:1
% 9.74/10.13    , b:0), 
% 9.74/10.13  'c_Hoare__Mirabelle_Otriple_Otriple'  [153, 4]      (w:1, o:181, a:1, s:1
% 9.74/10.13    , b:0), 
% 9.74/10.13  'c_Hoare__Mirabelle_Otriple__valid'  [154, 3]      (w:1, o:175, a:1, s:1
% 9.74/10.13    , b:0), 
% 9.74/10.13  'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'  [155, 2]      (w:1, o:
% 9.74/10.13    159, a:1, s:1, b:0), 
% 9.74/10.13  'c_Not'  [156, 0]      (w:1, o:78, a:1, s:1, b:0), 
% 9.74/10.13  'tc_Com_Ostate'  [157, 0]      (w:1, o:79, a:1, s:1, b:0), 
% 9.74/10.13  'c_Hoare__Mirabelle_Opeek__and'  [158, 3]      (w:1, o:176, a:1, s:1, b:0)
% 9.74/10.13    , 
% 9.74/10.13  'v_xa'  [171, 0]      (w:1, o:85, a:1, s:1, b:0), 
% 9.74/10.13  'v_P'  [172, 0]      (w:1, o:86, a:1, s:1, b:0), 
% 9.74/10.13  'v_b'  [173, 0]      (w:1, o:87, a:1, s:1, b:0), 
% 9.74/10.13  'v_c'  [174, 0]      (w:1, o:88, a:1, s:1, b:0), 
% 9.74/10.13  'v_G'  [176, 0]      (w:1, o:89, a:1, s:1, b:0), 
% 9.74/10.13  'v_n'  [179, 1]      (w:1, o:119, a:1, s:1, b:0).
% 9.74/10.13  
% 9.74/10.13  
% 9.74/10.13  Starting Search:
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  
% 9.74/10.13  Intermediate Status:
% 9.74/10.13  Generated:    7369
% 9.74/10.13  Kept:         2592
% 9.74/10.13  Inuse:        225
% 9.74/10.13  Deleted:      13
% 9.74/10.13  Deletedinuse: 4
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  
% 9.74/10.13  Intermediate Status:
% 9.74/10.13  Generated:    15033
% 9.74/10.13  Kept:         4799
% 9.74/10.13  Inuse:        336
% 9.74/10.13  Deleted:      14
% 9.74/10.13  Deletedinuse: 4
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  
% 9.74/10.13  Intermediate Status:
% 9.74/10.13  Generated:    29921
% 9.74/10.13  Kept:         7207
% 9.74/10.13  Inuse:        426
% 9.74/10.13  Deleted:      29
% 9.74/10.13  Deletedinuse: 6
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  
% 9.74/10.13  Intermediate Status:
% 9.74/10.13  Generated:    42719
% 9.74/10.13  Kept:         9430
% 9.74/10.13  Inuse:        458
% 9.74/10.13  Deleted:      34
% 9.74/10.13  Deletedinuse: 11
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  
% 9.74/10.13  Intermediate Status:
% 9.74/10.13  Generated:    57774
% 9.74/10.13  Kept:         11898
% 9.74/10.13  Inuse:        490
% 9.74/10.13  Deleted:      34
% 9.74/10.13  Deletedinuse: 11
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  
% 9.74/10.13  Intermediate Status:
% 9.74/10.13  Generated:    76675
% 9.74/10.13  Kept:         13901
% 9.74/10.13  Inuse:        590
% 9.74/10.13  Deleted:      55
% 9.74/10.13  Deletedinuse: 11
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  
% 9.74/10.13  Intermediate Status:
% 9.74/10.13  Generated:    93729
% 9.74/10.13  Kept:         16336
% 9.74/10.13  Inuse:        616
% 9.74/10.13  Deleted:      61
% 9.74/10.13  Deletedinuse: 15
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  
% 9.74/10.13  Intermediate Status:
% 9.74/10.13  Generated:    115629
% 9.74/10.13  Kept:         18402
% 9.74/10.13  Inuse:        660
% 9.74/10.13  Deleted:      61
% 9.74/10.13  Deletedinuse: 15
% 9.74/10.13  
% 9.74/10.13  Resimplifying inuse:
% 9.74/10.13  Done
% 9.74/10.13  
% 9.74/10.13  Resimplifying clauses:
% 9.74/10.13  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    131110
% 50.67/51.10  Kept:         20425
% 50.67/51.10  Inuse:        710
% 50.67/51.10  Deleted:      1107
% 50.67/51.10  Deletedinuse: 19
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    149929
% 50.67/51.10  Kept:         22896
% 50.67/51.10  Inuse:        755
% 50.67/51.10  Deleted:      1107
% 50.67/51.10  Deletedinuse: 19
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    167981
% 50.67/51.10  Kept:         25183
% 50.67/51.10  Inuse:        776
% 50.67/51.10  Deleted:      1107
% 50.67/51.10  Deletedinuse: 19
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    188319
% 50.67/51.10  Kept:         27187
% 50.67/51.10  Inuse:        817
% 50.67/51.10  Deleted:      1108
% 50.67/51.10  Deletedinuse: 20
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    206314
% 50.67/51.10  Kept:         29389
% 50.67/51.10  Inuse:        845
% 50.67/51.10  Deleted:      1108
% 50.67/51.10  Deletedinuse: 20
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    222876
% 50.67/51.10  Kept:         31408
% 50.67/51.10  Inuse:        886
% 50.67/51.10  Deleted:      1108
% 50.67/51.10  Deletedinuse: 20
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    238660
% 50.67/51.10  Kept:         33424
% 50.67/51.10  Inuse:        915
% 50.67/51.10  Deleted:      1108
% 50.67/51.10  Deletedinuse: 20
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    257217
% 50.67/51.10  Kept:         35431
% 50.67/51.10  Inuse:        953
% 50.67/51.10  Deleted:      1108
% 50.67/51.10  Deletedinuse: 20
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    284324
% 50.67/51.10  Kept:         37494
% 50.67/51.10  Inuse:        992
% 50.67/51.10  Deleted:      1109
% 50.67/51.10  Deletedinuse: 21
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    301902
% 50.67/51.10  Kept:         39503
% 50.67/51.10  Inuse:        1047
% 50.67/51.10  Deleted:      1112
% 50.67/51.10  Deletedinuse: 23
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying clauses:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    322456
% 50.67/51.10  Kept:         41536
% 50.67/51.10  Inuse:        1095
% 50.67/51.10  Deleted:      1707
% 50.67/51.10  Deletedinuse: 23
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    338407
% 50.67/51.10  Kept:         43947
% 50.67/51.10  Inuse:        1127
% 50.67/51.10  Deleted:      1709
% 50.67/51.10  Deletedinuse: 25
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    355437
% 50.67/51.10  Kept:         46092
% 50.67/51.10  Inuse:        1170
% 50.67/51.10  Deleted:      1709
% 50.67/51.10  Deletedinuse: 25
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    373704
% 50.67/51.10  Kept:         48453
% 50.67/51.10  Inuse:        1195
% 50.67/51.10  Deleted:      1709
% 50.67/51.10  Deletedinuse: 25
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    397038
% 50.67/51.10  Kept:         51687
% 50.67/51.10  Inuse:        1205
% 50.67/51.10  Deleted:      1712
% 50.67/51.10  Deletedinuse: 28
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    412758
% 50.67/51.10  Kept:         53708
% 50.67/51.10  Inuse:        1230
% 50.67/51.10  Deleted:      1732
% 50.67/51.10  Deletedinuse: 48
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    425822
% 50.67/51.10  Kept:         55846
% 50.67/51.10  Inuse:        1266
% 50.67/51.10  Deleted:      1757
% 50.67/51.10  Deletedinuse: 54
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    449574
% 50.67/51.10  Kept:         57854
% 50.67/51.10  Inuse:        1308
% 50.67/51.10  Deleted:      1776
% 50.67/51.10  Deletedinuse: 59
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    485993
% 50.67/51.10  Kept:         60340
% 50.67/51.10  Inuse:        1321
% 50.67/51.10  Deleted:      1777
% 50.67/51.10  Deletedinuse: 59
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying clauses:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    503963
% 50.67/51.10  Kept:         62358
% 50.67/51.10  Inuse:        1338
% 50.67/51.10  Deleted:      3583
% 50.67/51.10  Deletedinuse: 60
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    529143
% 50.67/51.10  Kept:         66074
% 50.67/51.10  Inuse:        1342
% 50.67/51.10  Deleted:      3591
% 50.67/51.10  Deletedinuse: 68
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    545367
% 50.67/51.10  Kept:         68147
% 50.67/51.10  Inuse:        1371
% 50.67/51.10  Deleted:      3899
% 50.67/51.10  Deletedinuse: 376
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    574100
% 50.67/51.10  Kept:         70210
% 50.67/51.10  Inuse:        1441
% 50.67/51.10  Deleted:      3917
% 50.67/51.10  Deletedinuse: 393
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 50.67/51.10  Generated:    614157
% 50.67/51.10  Kept:         72213
% 50.67/51.10  Inuse:        1552
% 50.67/51.10  Deleted:      3936
% 50.67/51.10  Deletedinuse: 406
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  Resimplifying inuse:
% 50.67/51.10  Done
% 50.67/51.10  
% 50.67/51.10  
% 50.67/51.10  Intermediate Status:
% 99.39/99.83  Generated:    657351
% 99.39/99.83  Kept:         74238
% 99.39/99.83  Inuse:        1630
% 99.39/99.83  Deleted:      3962
% 99.39/99.83  Deletedinuse: 407
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    692784
% 99.39/99.83  Kept:         76253
% 99.39/99.83  Inuse:        1667
% 99.39/99.83  Deleted:      3967
% 99.39/99.83  Deletedinuse: 411
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    750883
% 99.39/99.83  Kept:         78405
% 99.39/99.83  Inuse:        1716
% 99.39/99.83  Deleted:      3967
% 99.39/99.83  Deletedinuse: 411
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying clauses:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    827890
% 99.39/99.83  Kept:         80436
% 99.39/99.83  Inuse:        1792
% 99.39/99.83  Deleted:      16633
% 99.39/99.83  Deletedinuse: 416
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    882414
% 99.39/99.83  Kept:         82448
% 99.39/99.83  Inuse:        1888
% 99.39/99.83  Deleted:      16633
% 99.39/99.83  Deletedinuse: 416
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    949687
% 99.39/99.83  Kept:         84451
% 99.39/99.83  Inuse:        1994
% 99.39/99.83  Deleted:      16633
% 99.39/99.83  Deletedinuse: 416
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    1015451
% 99.39/99.83  Kept:         86480
% 99.39/99.83  Inuse:        2078
% 99.39/99.83  Deleted:      16633
% 99.39/99.83  Deletedinuse: 416
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    1083194
% 99.39/99.83  Kept:         88996
% 99.39/99.83  Inuse:        2135
% 99.39/99.83  Deleted:      16633
% 99.39/99.83  Deletedinuse: 416
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    1183565
% 99.39/99.83  Kept:         90996
% 99.39/99.83  Inuse:        2313
% 99.39/99.83  Deleted:      16633
% 99.39/99.83  Deletedinuse: 416
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    1326743
% 99.39/99.83  Kept:         93028
% 99.39/99.83  Inuse:        2519
% 99.39/99.83  Deleted:      16650
% 99.39/99.83  Deletedinuse: 420
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    1435549
% 99.39/99.83  Kept:         95292
% 99.39/99.83  Inuse:        2650
% 99.39/99.83  Deleted:      16702
% 99.39/99.83  Deletedinuse: 423
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    1537047
% 99.39/99.83  Kept:         97302
% 99.39/99.83  Inuse:        2729
% 99.39/99.83  Deleted:      16703
% 99.39/99.83  Deletedinuse: 424
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    1678827
% 99.39/99.83  Kept:         99303
% 99.39/99.83  Inuse:        2880
% 99.39/99.83  Deleted:      16707
% 99.39/99.83  Deletedinuse: 426
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying clauses:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    1833945
% 99.39/99.83  Kept:         101397
% 99.39/99.83  Inuse:        3000
% 99.39/99.83  Deleted:      18014
% 99.39/99.83  Deletedinuse: 427
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    1970777
% 99.39/99.83  Kept:         103417
% 99.39/99.83  Inuse:        3161
% 99.39/99.83  Deleted:      18014
% 99.39/99.83  Deletedinuse: 427
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    2164702
% 99.39/99.83  Kept:         105422
% 99.39/99.83  Inuse:        3346
% 99.39/99.83  Deleted:      18014
% 99.39/99.83  Deletedinuse: 427
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    2278572
% 99.39/99.83  Kept:         107428
% 99.39/99.83  Inuse:        3464
% 99.39/99.83  Deleted:      18037
% 99.39/99.83  Deletedinuse: 448
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    2318108
% 99.39/99.83  Kept:         109505
% 99.39/99.83  Inuse:        3497
% 99.39/99.83  Deleted:      18038
% 99.39/99.83  Deletedinuse: 448
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    2428996
% 99.39/99.83  Kept:         111591
% 99.39/99.83  Inuse:        3648
% 99.39/99.83  Deleted:      18083
% 99.39/99.83  Deletedinuse: 491
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    2454911
% 99.39/99.83  Kept:         118664
% 99.39/99.83  Inuse:        3660
% 99.39/99.83  Deleted:      18083
% 99.39/99.83  Deletedinuse: 491
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    2463994
% 99.39/99.83  Kept:         120673
% 99.39/99.83  Inuse:        3671
% 99.39/99.83  Deleted:      18312
% 99.39/99.83  Deletedinuse: 720
% 99.39/99.83  
% 99.39/99.83  Resimplifying clauses:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    2508629
% 99.39/99.83  Kept:         127221
% 99.39/99.83  Inuse:        3680
% 99.39/99.83  Deleted:      22533
% 99.39/99.83  Deletedinuse: 723
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    2527702
% 99.39/99.83  Kept:         129259
% 99.39/99.83  Inuse:        3711
% 99.39/99.83  Deleted:      22537
% 99.39/99.83  Deletedinuse: 727
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  Resimplifying inuse:
% 99.39/99.83  Done
% 99.39/99.83  
% 99.39/99.83  
% 99.39/99.83  Intermediate Status:
% 99.39/99.83  Generated:    2553988
% 225.20/225.62  Kept:         131272
% 225.20/225.62  Inuse:        3744
% 225.20/225.62  Deleted:      22537
% 225.20/225.62  Deletedinuse: 727
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2582822
% 225.20/225.62  Kept:         133289
% 225.20/225.62  Inuse:        3771
% 225.20/225.62  Deleted:      22551
% 225.20/225.62  Deletedinuse: 727
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2605052
% 225.20/225.62  Kept:         135314
% 225.20/225.62  Inuse:        3791
% 225.20/225.62  Deleted:      22556
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2643728
% 225.20/225.62  Kept:         137361
% 225.20/225.62  Inuse:        3832
% 225.20/225.62  Deleted:      22556
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2702766
% 225.20/225.62  Kept:         144664
% 225.20/225.62  Inuse:        3860
% 225.20/225.62  Deleted:      22556
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying clauses:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2722174
% 225.20/225.62  Kept:         146712
% 225.20/225.62  Inuse:        3870
% 225.20/225.62  Deleted:      25915
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2758625
% 225.20/225.62  Kept:         148787
% 225.20/225.62  Inuse:        3907
% 225.20/225.62  Deleted:      25915
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2770672
% 225.20/225.62  Kept:         150902
% 225.20/225.62  Inuse:        3920
% 225.20/225.62  Deleted:      25915
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2794980
% 225.20/225.62  Kept:         152967
% 225.20/225.62  Inuse:        3932
% 225.20/225.62  Deleted:      25915
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2809766
% 225.20/225.62  Kept:         154982
% 225.20/225.62  Inuse:        3947
% 225.20/225.62  Deleted:      25915
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2825853
% 225.20/225.62  Kept:         157141
% 225.20/225.62  Inuse:        3967
% 225.20/225.62  Deleted:      25915
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2841858
% 225.20/225.62  Kept:         159261
% 225.20/225.62  Inuse:        3984
% 225.20/225.62  Deleted:      25921
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2887676
% 225.20/225.62  Kept:         161515
% 225.20/225.62  Inuse:        3997
% 225.20/225.62  Deleted:      25928
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2932284
% 225.20/225.62  Kept:         164894
% 225.20/225.62  Inuse:        4009
% 225.20/225.62  Deleted:      25928
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2963957
% 225.20/225.62  Kept:         167176
% 225.20/225.62  Inuse:        4010
% 225.20/225.62  Deleted:      25928
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying clauses:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    2986933
% 225.20/225.62  Kept:         169260
% 225.20/225.62  Inuse:        4034
% 225.20/225.62  Deleted:      26785
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    3005940
% 225.20/225.62  Kept:         171455
% 225.20/225.62  Inuse:        4054
% 225.20/225.62  Deleted:      26785
% 225.20/225.62  Deletedinuse: 728
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    3048360
% 225.20/225.62  Kept:         174467
% 225.20/225.62  Inuse:        4079
% 225.20/225.62  Deleted:      26793
% 225.20/225.62  Deletedinuse: 736
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    3075047
% 225.20/225.62  Kept:         176482
% 225.20/225.62  Inuse:        4088
% 225.20/225.62  Deleted:      26793
% 225.20/225.62  Deletedinuse: 736
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    3247646
% 225.20/225.62  Kept:         178549
% 225.20/225.62  Inuse:        4145
% 225.20/225.62  Deleted:      26816
% 225.20/225.62  Deletedinuse: 757
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    3268042
% 225.20/225.62  Kept:         180587
% 225.20/225.62  Inuse:        4166
% 225.20/225.62  Deleted:      26816
% 225.20/225.62  Deletedinuse: 757
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    3291521
% 225.20/225.62  Kept:         182642
% 225.20/225.62  Inuse:        4191
% 225.20/225.62  Deleted:      26816
% 225.20/225.62  Deletedinuse: 757
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    3314428
% 225.20/225.62  Kept:         184668
% 225.20/225.62  Inuse:        4216
% 225.20/225.62  Deleted:      26816
% 225.20/225.62  Deletedinuse: 757
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  Resimplifying inuse:
% 225.20/225.62  Done
% 225.20/225.62  
% 225.20/225.62  
% 225.20/225.62  Intermediate Status:
% 225.20/225.62  Generated:    3333556
% 225.20/225.62  Kept:         186734
% 225.20/225.62  Inuse:        4236
% 300.07/300.51  Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------