%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV870-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n026.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 16:28:56 EDT 2022

% Result   : Timeout 300.03s 300.44s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV870-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Tue Jun 14 18:18:51 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.92/1.29  *** allocated 10000 integers for termspace/termends
% 0.92/1.29  *** allocated 10000 integers for clauses
% 0.92/1.29  *** allocated 10000 integers for justifications
% 0.92/1.29  *** allocated 15000 integers for termspace/termends
% 0.92/1.29  Bliksem 1.12
% 0.92/1.29  
% 0.92/1.29  
% 0.92/1.29  Automatic Strategy Selection
% 0.92/1.29  
% 0.92/1.29  Clauses:
% 0.92/1.29  [
% 0.92/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.92/1.29    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.92/1.29    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.29     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.92/1.29    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.92/1.29    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.92/1.29    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.92/1.29     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.29     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.92/1.29    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.92/1.29     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.92/1.29    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.92/1.29    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), X ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30    , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.92/1.30    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.92/1.30    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.30    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.92/1.30    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.30     [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.92/1.30     ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.92/1.30    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.30    , T, X ) ) ), =( Y, Z ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.92/1.30    , T, X ) ) ), =( Z, T ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.92/1.30    , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.92/1.30    'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~( 
% 0.92/1.30    'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), 
% 0.92/1.30    'c_lessequals'( Y, Z, X ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~( 
% 0.92/1.30    'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.92/1.30    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.30    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.92/1.30    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.92/1.30    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.92/1.30    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.30    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.92/1.30    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.92/1.30    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.92/1.30    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Z ), Y ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ), hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), X ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), T ), Y ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.92/1.30     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.92/1.30    'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( X, U ), 
% 0.92/1.30    'c_Option_Ooption_OSome'( W, T ) ), =( hAPP( Y, U ), 
% 0.92/1.30    'c_Option_Ooption_OSome'( W, T ) ) ],
% 0.92/1.30     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), ~( =( hAPP( 
% 0.92/1.30    U, Y ), 'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( 'c_Map_Omap__add'( X
% 0.92/1.30    , U, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ],
% 0.92/1.30     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.92/1.30    'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( X, U ), 
% 0.92/1.30    'c_Option_Ooption_ONone'( T ) ) ],
% 0.92/1.30     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.92/1.30    'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( Y, U ), 
% 0.92/1.30    'c_Option_Ooption_ONone'( T ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U, 
% 0.92/1.30    Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.92/1.30    , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.92/1.30    Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.30    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.30    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.92/1.30    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.92/1.30    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.92/1.30    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.92/1.30    , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.92/1.30    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.92/1.30    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.92/1.30    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.92/1.30    , ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 0.92/1.30    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( Y, X ) ), ~( 
% 0.92/1.30    'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =( 
% 0.92/1.30    'c_Finite__Set_Ofold1'( T, 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    Y, Z, 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( hAPP( T, 
% 0.92/1.30    'c_Finite__Set_Ofold1'( T, Y, X ) ), 'c_Finite__Set_Ofold1'( T, Z, X ) )
% 0.92/1.30     ) ],
% 0.92/1.30     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.92/1.30    Y, X ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30    , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.92/1.30     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.92/1.30    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.92/1.30     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( =( hAPP( T, 
% 0.92/1.30    Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( hAPP( 'c_Map_Omap__add'( X, T
% 0.92/1.30    , U, Z ), Y ), 'c_Option_Ooption_ONone'( Z ) ) ],
% 0.92/1.30     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP( 
% 0.92/1.30    'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 0.92/1.30     ],
% 0.92/1.30     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP( 
% 0.92/1.30    'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 0.92/1.30     ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30    , T ), X ), Y ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30    , X ), T ), Y ) ) ) ],
% 0.92/1.30     [ 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( Y, X, Z, T ), Z, T ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.92/1.30    'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.92/1.30    'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.92/1.30    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.92/1.30    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.30     [ =( 'c_Set_Ovimage'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ), U, Y ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.92/1.30    , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.30     [ 'c_Map_Omap__le'( 'c_Map_Omap__add'( X, Y, Z, T ), U, Z, T ), ~( 
% 0.92/1.30    'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ), ~( 
% 0.92/1.30    'c_Map_Omap__le'( Y, U, Z, T ) ), ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.92/1.30    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.92/1.30    Z, Y ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.92/1.30    Z, Y ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.92/1.30    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.92/1.30    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.92/1.30    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T
% 0.92/1.30    , 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ), T ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.92/1.30     ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.92/1.30     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.92/1.30     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.92/1.30    , X, U, Y, W ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.92/1.30    , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( 
% 0.92/1.30    Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.92/1.30    , U ) ) ],
% 0.92/1.30     [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'( 
% 0.92/1.30    'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.92/1.30    hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.92/1.30    , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( hAPP( X, Y ), 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.92/1.30    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Map_Odom'( X, Y, Z ), 'c_Map_Odom'( T, Y, Z ), 
% 0.92/1.30    'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_Map_Omap__le'( X, T, Y, Z ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.92/1.30    X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y, 
% 0.92/1.30    'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.92/1.30    , T, X ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.92/1.30    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.92/1.30    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.92/1.30    'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.92/1.30     [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.92/1.30    , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.92/1.30     ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.92/1.30     [ =( 'c_Collect'( X, Y ), X ) ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.92/1.30    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), 
% 0.92/1.30    ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.30     [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( 'c_Map_Omap__add'( 
% 0.92/1.30    U, X, Z, T ), Y, Z, T ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.92/1.30     ) ) ), ~( 'c_Finite__Set_Ofinite'( 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.92/1.30     [ 'c_Map_Omap__le'( X, X, Y, Z ) ],
% 0.92/1.30     [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U, Y, Z, T ) ), 
% 0.92/1.30    ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ],
% 0.92/1.30     [ =( 'c_Map_Odom'( 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Map_Odom'( Y, Z, T ), 
% 0.92/1.30    'c_Map_Odom'( X, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'( 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'( 
% 0.92/1.30    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ), 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.92/1.30    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.92/1.30    U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ), Y, U ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.92/1.30    , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ), 
% 0.92/1.30    'tc_fun'( U, 'tc_bool' ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.92/1.30     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.92/1.30     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.92/1.30    'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.92/1.30    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.92/1.30     ) ) ), =( X, Z ) ],
% 0.92/1.30     [ =( 'c_Map_Omap__add'( X, 'c_Map_Omap__add'( Y, Z, T, U ), T, U ), 
% 0.92/1.30    'c_Map_Omap__add'( 'c_Map_Omap__add'( X, Y, T, U ), Z, T, U ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 0.92/1.30    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.92/1.30    , U ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 0.92/1.30    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.92/1.30    , U ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 0.92/1.30    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ) ), T ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), T ) ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), Y ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), Y ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.92/1.30     [ =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T ) )
% 0.92/1.30    , ~( 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T )
% 0.92/1.30     ) ), 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.92/1.30     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), X ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( 
% 0.92/1.30    T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.92/1.30    , Z, 'tc_fun'( T, X ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.92/1.30    , X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.30    , Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.30    , Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), Y ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ), 
% 0.92/1.30    ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ), 
% 0.92/1.30    ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.30     ), =( Z, Y ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ) ],
% 0.92/1.30     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~( 'c_Map_Omap__le'( X
% 0.92/1.30    , Y, Z, T ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.30    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.30    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.92/1.30    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.30     ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), Y ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), X ), Y ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.92/1.30    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.92/1.30    'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.92/1.30    'c_lessequals'( Y, Z, X ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.92/1.30    'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.92/1.30    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30     ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.30     [ ~( hBOOL( 'c_in'( X, 'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( Y
% 0.92/1.30    , X, Z ), Z ) ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ],
% 0.92/1.30     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30    , T ), Y ), Z ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30    , Y ), T ), Z ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.92/1.30     ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.92/1.30     ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.92/1.30    , T ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.92/1.30    , T ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.92/1.30    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.92/1.30    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.92/1.30    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.92/1.30    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.92/1.30    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.92/1.30    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.92/1.30     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.92/1.30    , V3, V4, U ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.92/1.30     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.92/1.30    , V3, V4, U ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.92/1.30    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.92/1.30    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.92/1.30    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.92/1.30    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.92/1.30     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.92/1.30    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.92/1.30     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.92/1.30    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.92/1.30    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.92/1.30    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.92/1.30    hBOOL( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( 
% 0.92/1.30    T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.92/1.30    hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.92/1.30    , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.92/1.30    'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 0.92/1.30    , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'( 
% 0.92/1.30    X, Y, Z, U, T, T ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.92/1.30    hAPP( X, Y ), W ), U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U ) ), ~( 
% 0.92/1.30    'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 0.92/1.30     [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), hAPP( 
% 0.92/1.30    hAPP( X, Y ), 'c_Finite__Set_Ofold1'( X, Z, T ) ) ), hBOOL( 'c_in'( Y, Z
% 0.92/1.30    , T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), =( Z, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.92/1.30    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'( 
% 0.92/1.30    U, 'tc_bool' ) ), U ), W, U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( Y, T, U ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U
% 0.92/1.30     ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ) ), Y ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.30     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30     ) ],
% 0.92/1.30     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.92/1.30    , V2, Z, Y ) ) ],
% 0.92/1.30     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.92/1.30    , Z, V2, Y ) ) ],
% 0.92/1.30     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.30     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.30     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.92/1.30    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.92/1.30    , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.92/1.30     [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), X ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ) ],
% 0.92/1.30     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), X ) ],
% 0.92/1.30     [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.30     ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.30     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.30     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.92/1.30     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.92/1.30    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.30     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30     ) ],
% 0.92/1.30     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.92/1.30    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.30     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30     ) ],
% 0.92/1.30     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.92/1.30     ) ), Z, X ) ) ],
% 0.92/1.30     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.92/1.30    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), X ), X ), X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.92/1.30    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.92/1.30    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), X ), X ), X ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.92/1.30    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.92/1.30    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.92/1.30     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.92/1.30    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, 
% 0.92/1.30    V2, V3, V4, T ) ) ],
% 0.92/1.30     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.92/1.30    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.92/1.30    , U, V3, V4, T ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.92/1.30    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.92/1.30     ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ), X ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.92/1.30    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.92/1.30    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Z ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.92/1.30    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), 'c_Map_Odom'( Y, X, Z ) ), 'c_Map_Odom'( T, X
% 0.92/1.30    , Z ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), 
% 0.92/1.30    =( 'c_Map_Omap__add'( Y, T, X, Z ), 'c_Map_Omap__add'( T, Y, X, Z ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), 'c_Set_Oinsert'( Y
% 0.92/1.30    , U, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.92/1.30    'c_Map_Odom'( X, T, Z ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~( 
% 0.92/1.30    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.92/1.30     ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, 
% 0.92/1.30    Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'( 
% 0.92/1.30    W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.92/1.30     ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.92/1.30    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.92/1.30    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, 
% 0.92/1.30    Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.92/1.30     ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.92/1.30    't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.92/1.30     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.92/1.30    =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.92/1.30    , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ) ],
% 0.92/1.30     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.92/1.30     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.92/1.30     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( X, T, Z ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.92/1.30    'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ), 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'( 
% 0.92/1.30    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.92/1.30    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.92/1.30     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.92/1.30    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.92/1.30     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.92/1.30    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.92/1.30    , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.92/1.30    Z, Y, X ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.92/1.30    , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( 
% 0.92/1.30    'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.92/1.30    'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( Y, U ), 
% 0.92/1.30    'c_Option_Ooption_ONone'( T ) ), =( hAPP( Y, U ), 
% 0.92/1.30    'c_Option_Ooption_OSome'( W, T ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.92/1.30    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.30    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.92/1.30    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.92/1.30    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.92/1.30    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.92/1.30     ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.92/1.30     ],
% 0.92/1.30     [ 'c_lessequals'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.30     [ 'c_lessequals'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.92/1.30    Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.92/1.30    Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP( 
% 0.92/1.30    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 
% 0.92/1.30    'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.92/1.30     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.92/1.30    , 'tc_bool' ) ), Z ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.92/1.30    'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 
% 0.92/1.30    'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ), T ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.92/1.30    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.92/1.30    Y, X ), Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.92/1.30    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    T, X ), Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.92/1.30    'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.92/1.30    'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.92/1.30    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.92/1.30    Y, X ), Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.92/1.30    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.92/1.30    T, X ), Z, X ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.92/1.30    , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.92/1.30    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.92/1.30    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.92/1.30    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.92/1.30    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.92/1.30    , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.92/1.30    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.92/1.30    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.92/1.30    , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.92/1.30    , X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.92/1.30    , X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.92/1.30    , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.92/1.30    'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.92/1.30    , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_bool' ) )
% 0.92/1.30    , 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.92/1.30    'c_lessequals'( Y, Z, X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.92/1.30    'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( X, Z, Y ) ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( 
% 0.92/1.30    Y, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'( 
% 0.92/1.30    U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.92/1.30    Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.92/1.30    X, T, U ), Z ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.92/1.30    hAPP( X, U ) ) ) ) ],
% 0.92/1.30     [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.92/1.30    Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), 
% 0.92/1.30    ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.92/1.30    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.92/1.30    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.92/1.30    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.30    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.30    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.30    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.30    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.92/1.30     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.92/1.30    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.92/1.30    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.92/1.30    'tc_bool' ) ) ],
% 0.92/1.30     [ =( 'c_Option_Othe'( 'c_Option_Ooption_OSome'( X, Y ), Y ), X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.92/1.30    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.30    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.30     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.92/1.30    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y, 
% 0.92/1.30    Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.92/1.30     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.92/1.30    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.92/1.30     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.92/1.30     ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.92/1.30    Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'( 
% 0.92/1.30    Y, Z, X ) ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.30    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.30    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.92/1.30    'c_lessequals'( Z, Y, X ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.30    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.30    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z, 
% 0.92/1.30    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, 
% 0.92/1.30    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.92/1.30    'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.92/1.30    , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 
% 0.92/1.30    'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( 
% 0.92/1.30    T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.92/1.30     [ =( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( X, Y, Z ), Z ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( Y, X, Z ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, 
% 0.92/1.30    Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.92/1.30    'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.92/1.30    'c_in'( Y, X, T ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.92/1.30    , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.30     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.92/1.30    'c_in'( Y, X, T ) ) ],
% 0.92/1.30     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.30    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'( 
% 0.92/1.30    T, X, Z ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.92/1.30     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.92/1.30    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP( 
% 0.92/1.30    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.30    , Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.92/1.30    hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W, 
% 0.92/1.30    U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.92/1.30    hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.92/1.30    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), 'c_Set_Oinsert'( X, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ],
% 0.92/1.30     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.92/1.30    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.92/1.30    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.92/1.30    Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.92/1.30     ) ],
% 0.92/1.30     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.92/1.30     ) ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.92/1.30    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.92/1.30     ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Y, 'tc_bool' ) ), Y ), 
% 0.92/1.30    'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ =( 'c_Set_Oinsert'( X, 
% 0.92/1.30    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.92/1.30     ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.92/1.30     ],
% 0.92/1.30     [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.92/1.30     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.92/1.30    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.92/1.30    , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.92/1.30     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.92/1.30    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.92/1.30    , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.92/1.30    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.92/1.30    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.92/1.30    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, 
% 0.92/1.30    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.92/1.30     [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.92/1.30     ],
% 0.92/1.30     [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ), 
% 0.92/1.30    ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.92/1.30     [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.92/1.30     ],
% 0.92/1.30     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.92/1.30    'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.92/1.30     ],
% 0.92/1.30     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.92/1.30    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.92/1.30    Y, Z ) ) ],
% 0.92/1.30     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.92/1.30    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.92/1.30    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.92/1.30    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.30     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.92/1.30    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.92/1.30     ],
% 0.92/1.30     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( X, U ) ), hBOOL( 
% 0.92/1.30    'c_in'( U, 'c_Map_Odom'( Y, Z, T ), Z ) ) ],
% 0.92/1.30     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), hBOOL( 
% 0.92/1.30    'c_in'( U, 'c_Map_Odom'( X, Z, T ), Z ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ) ), =( hAPP( Y, X ), 
% 0.92/1.30    'c_Option_Ooption_ONone'( T ) ) ],
% 0.92/1.30     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( hBOOL( 
% 0.92/1.30    'c_in'( Y, 'c_Map_Odom'( X, T, Z ), T ) ) ) ],
% 0.92/1.30     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), hBOOL( 
% 0.92/1.30    'c_in'( Y, 'c_Map_Odom'( X, U, T ), U ) ) ],
% 0.92/1.30     [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Map_Odom'( X
% 0.92/1.30    , T, U ), T ) ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ],
% 0.92/1.30     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), ~( 
% 0.92/1.30    hBOOL( 'c_in'( U, 'c_Map_Odom'( Y, Z, T ), Z ) ) ) ],
% 0.92/1.30     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U, T )
% 0.92/1.30     ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.92/1.30    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.92/1.30    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~( 
% 0.92/1.30    'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( 
% 0.92/1.30    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.92/1.30    , X, 'tc_Hoare__Mirabelle_Otriple'( U ) ), 'c_Set_Oinsert'( 
% 0.92/1.30    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( hAPP( 
% 0.92/1.30    'c_Com_Obody', Z ), 'tc_Com_Ocom' ), T, U ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.92/1.30    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.92/1.30    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~( 
% 0.92/1.30    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.92/1.30    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( hAPP( 
% 0.92/1.30    'c_Com_Obody', Z ), 'tc_Com_Ocom' ), T, U ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.92/1.30     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.92/1.30    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( 
% 0.92/1.30    'c_in'( X, Y, Z ) ) ) ],
% 0.92/1.30     [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X, 
% 0.92/1.30    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.92/1.30    'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ), 
% 0.92/1.30    T ) ) ],
% 0.92/1.30     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~( 
% 0.92/1.30    'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.92/1.30     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.92/1.30    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.92/1.30    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.92/1.30    , Z ) ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.92/1.30    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 
% 0.92/1.30    'tc_Com_Ostate' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.92/1.30    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.92/1.30    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.92/1.30    ~( 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.92/1.30    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 
% 0.92/1.30    'tc_Com_Ostate' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.92/1.30    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.92/1.30    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), 
% 0.92/1.30    ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.92/1.30    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_OMGT'( Y ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.92/1.30     [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 0.92/1.30    , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.92/1.30    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z, 
% 0.92/1.30    'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~( 
% 0.92/1.30    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~( 
% 0.92/1.30    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.92/1.30    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y, 
% 0.92/1.30    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.92/1.30     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.92/1.30    X, Z, T ) ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.92/1.30    X, Z, T ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.92/1.30    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 0.92/1.30    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.92/1.30     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.30     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.92/1.30    'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.30     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.92/1.30    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.92/1.30     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.92/1.30    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.92/1.30     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.92/1.30    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.92/1.30     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.92/1.30    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.92/1.30     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.92/1.30    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, 
% 0.92/1.30    'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.92/1.30     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.30     ) ), Y ) ) ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.92/1.30    X, T ), Y ) ) ) ],
% 0.92/1.30     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.92/1.30    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.92/1.30     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.92/1.30     [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.92/1.30     ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.92/1.30     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.92/1.30     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.92/1.30     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.92/1.30    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.92/1.30     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.92/1.30    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.92/1.30     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.92/1.30    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~( 
% 0.92/1.30    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T, 
% 0.92/1.30    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.92/1.30     ) ) ],
% 0.92/1.30     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.92/1.30    hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.92/1.30     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.92/1.30     ],
% 0.92/1.30     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.92/1.30     [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( 
% 0.92/1.30    'c_Hoare__Mirabelle_OMGT'( 'c_Com_Ocom_OSKIP' ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.92/1.30     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( 
% 0.92/1.30    'c_Hoare__Mirabelle_OMGT'( 'c_Com_Ocom_OBODY'( X ) ), 
% 0.92/1.30    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.92/1.30    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~( hBOOL( 'c_in'( X, 'c_Map_Odom'( 
% 0.92/1.30    'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.92/1.30    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.92/1.30     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.92/1.30    'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.30     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.92/1.30    'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.30     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.92/1.30    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.92/1.30     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.92/1.30    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.92/1.30     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.92/1.30    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.92/1.30    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.92/1.30     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.92/1.30    'class_Orderings_Opreorder'( Y ) ) ],
% 0.92/1.30     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.92/1.30    'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.30     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.92/1.30    'class_Orderings_Oorder'( Y ) ) ],
% 0.92/1.30     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.92/1.30    Y ) ) ],
% 0.92/1.30     [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.92/1.30    ,
% 0.92/1.30     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.92/1.30     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~( 
% 0.92/1.30    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.92/1.30     [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.92/1.30     [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.92/1.30  ] .
% 0.92/1.30  
% 0.92/1.30  
% 0.92/1.30  percentage equality = 0.264595, percentage horn = 0.886555
% 0.92/1.30  This is a problem with some equality
% 0.92/1.30  
% 0.92/1.30  
% 0.92/1.30  
% 0.92/1.30  Options Used:
% 0.92/1.30  
% 0.92/1.30  useres =            1
% 0.92/1.30  useparamod =        1
% 0.92/1.30  useeqrefl =         1
% 0.92/1.30  useeqfact =         1
% 0.92/1.30  usefactor =         1
% 0.92/1.30  usesimpsplitting =  0
% 0.92/1.30  usesimpdemod =      5
% 0.92/1.30  usesimpres =        3
% 0.92/1.30  
% 0.92/1.30  resimpinuse      =  1000
% 0.92/1.30  resimpclauses =     20000
% 0.92/1.30  substype =          eqrewr
% 0.92/1.30  backwardsubs =      1
% 0.92/1.30  selectoldest =      5
% 0.92/1.30  
% 0.92/1.30  litorderings [0] =  split
% 0.92/1.30  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.92/1.30  
% 0.92/1.30  termordering =      kbo
% 0.92/1.30  
% 0.92/1.30  litapriori =        0
% 0.92/1.30  termapriori =       1
% 0.92/1.30  litaposteriori =    0
% 0.92/1.30  termaposteriori =   0
% 0.92/1.30  demodaposteriori =  0
% 0.92/1.30  ordereqreflfact =   0
% 0.92/1.30  
% 0.92/1.30  litselect =         negord
% 0.92/1.30  
% 0.92/1.30  maxweight =         15
% 0.92/1.30  maxdepth =          30000
% 0.92/1.30  maxlength =         115
% 0.92/1.30  maxnrvars =         195
% 0.92/1.30  excuselevel =       1
% 0.92/1.30  increasemaxweight = 1
% 0.92/1.30  
% 0.92/1.30  maxselected =       10000000
% 0.92/1.30  maxnrclauses =      10000000
% 0.92/1.30  
% 0.92/1.30  showgenerated =    0
% 0.92/1.30  showkept =         0
% 0.92/1.30  showselected =     0
% 0.92/1.30  showdeleted =      0
% 0.92/1.30  showresimp =       1
% 0.92/1.30  showstatus =       2000
% 0.92/1.30  
% 0.92/1.30  prologoutput =     1
% 0.92/1.30  nrgoals =          5000000
% 0.92/1.30  totalproof =       1
% 0.92/1.30  
% 0.92/1.30  Symbols occurring in the translation:
% 0.92/1.30  
% 0.92/1.30  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.92/1.30  .  [1, 2]      (w:1, o:114, a:1, s:1, b:0), 
% 0.92/1.30  !  [4, 1]      (w:0, o:85, a:1, s:1, b:0), 
% 0.92/1.30  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.92/1.30  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.92/1.30  'tc_bool'  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.92/1.30  'tc_fun'  [43, 2]      (w:1, o:139, a:1, s:1, b:0), 
% 14.04/14.40  'c_HOL_Ominus__class_Ominus'  [44, 3]      (w:1, o:154, a:1, s:1, b:0), 
% 14.04/14.40  'c_Orderings_Obot__class_Obot'  [46, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 14.04/14.40  'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'  [47, 4]      (w:1
% 14.04/14.40    , o:167, a:1, s:1, b:0), 
% 14.04/14.40  'class_Orderings_Oorder'  [48, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 14.04/14.40  'c_HOL_Oord__class_Oless'  [51, 3]      (w:1, o:155, a:1, s:1, b:0), 
% 14.04/14.40  'class_Orderings_Opreorder'  [54, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 14.04/14.40  'class_Lattices_Oupper__semilattice'  [55, 1]      (w:1, o:93, a:1, s:1, b:
% 14.04/14.40    0), 
% 14.04/14.40  'c_Lattices_Oupper__semilattice__class_Osup'  [56, 3]      (w:1, o:156, a:1
% 14.04/14.40    , s:1, b:0), 
% 14.04/14.40  hAPP  [58, 2]      (w:1, o:140, a:1, s:1, b:0), 
% 14.04/14.40  hBOOL  [59, 1]      (w:1, o:94, a:1, s:1, b:0), 
% 14.04/14.40  'c_Lattices_Olower__semilattice__class_Oinf'  [60, 1]      (w:1, o:95, a:1
% 14.04/14.40    , s:1, b:0), 
% 14.04/14.40  'c_Collect'  [61, 2]      (w:1, o:141, a:1, s:1, b:0), 
% 14.04/14.40  'c_in'  [62, 3]      (w:1, o:157, a:1, s:1, b:0), 
% 14.04/14.40  'class_Lattices_Odistrib__lattice'  [63, 1]      (w:1, o:96, a:1, s:1, b:0)
% 14.04/14.40    , 
% 14.04/14.40  'class_Orderings_Olinorder'  [64, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 14.04/14.40  'c_lessequals'  [65, 3]      (w:1, o:158, a:1, s:1, b:0), 
% 14.04/14.40  'class_HOL_Oord'  [66, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 14.04/14.40  'c_Option_Ooption_ONone'  [69, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 14.04/14.40  'c_Option_Ooption_OSome'  [70, 2]      (w:1, o:143, a:1, s:1, b:0), 
% 14.04/14.40  'class_OrderedGroup_Oab__group__add'  [72, 1]      (w:1, o:100, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'c_Finite__Set_Olinorder__class_OMax'  [77, 2]      (w:1, o:144, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'c_Finite__Set_Ofinite'  [79, 2]      (w:1, o:145, a:1, s:1, b:0), 
% 14.04/14.40  'c_Set_Oimage'  [80, 4]      (w:1, o:168, a:1, s:1, b:0), 
% 14.04/14.40  'class_Lattices_Olattice'  [81, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 14.04/14.40  'class_Lattices_Olower__semilattice'  [82, 1]      (w:1, o:102, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'c_Map_Omap__add'  [87, 4]      (w:1, o:169, a:1, s:1, b:0), 
% 14.04/14.40  'c_Set_Ovimage'  [89, 4]      (w:1, o:170, a:1, s:1, b:0), 
% 14.04/14.40  'class_HOL_Ominus'  [90, 1]      (w:1, o:103, a:1, s:1, b:0), 
% 14.04/14.40  't_a'  [91, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 14.04/14.40  'v_x'  [92, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 14.04/14.40  'c_Set_Oinsert'  [93, 3]      (w:1, o:159, a:1, s:1, b:0), 
% 14.04/14.40  'c_SetInterval_Oord__class_OatLeastAtMost'  [96, 3]      (w:1, o:160, a:1
% 14.04/14.40    , s:1, b:0), 
% 14.04/14.40  'c_OrderedGroup_Oab__semigroup__mult'  [98, 2]      (w:1, o:146, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'c_Finite__Set_Ofold1'  [99, 3]      (w:1, o:161, a:1, s:1, b:0), 
% 14.04/14.40  'class_Finite__Set_Ofinite_Ofinite'  [100, 1]      (w:1, o:104, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'c_Map_Omap__le'  [102, 4]      (w:1, o:171, a:1, s:1, b:0), 
% 14.04/14.40  'c_Finite__Set_Ofold__graph'  [107, 6]      (w:1, o:173, a:1, s:1, b:0), 
% 14.04/14.40  'c_Finite__Set_Ofold1Set'  [108, 3]      (w:1, o:162, a:1, s:1, b:0), 
% 14.04/14.40  'c_The'  [109, 2]      (w:1, o:148, a:1, s:1, b:0), 
% 14.04/14.40  'class_Complete__Lattice_Ocomplete__lattice'  [110, 1]      (w:1, o:105, a:
% 14.04/14.40    1, s:1, b:0), 
% 14.04/14.40  'c_Map_Odom'  [112, 3]      (w:1, o:163, a:1, s:1, b:0), 
% 14.04/14.40  'c_Complete__Lattice_OInf__class_OInf'  [113, 2]      (w:1, o:149, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'c_Complete__Lattice_OSup__class_OSup'  [114, 2]      (w:1, o:150, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'class_Ring__and__Field_Oordered__idom'  [120, 1]      (w:1, o:106, a:1, s:
% 14.04/14.40    1, b:0), 
% 14.04/14.40  'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'  [121, 3]      (w:1, o:164
% 14.04/14.40    , a:1, s:1, b:0), 
% 14.04/14.40  'c_Complete__Lattice_Ocomplete__lattice'  [130, 9]      (w:1, o:174, a:1
% 14.04/14.40    , s:1, b:0), 
% 14.04/14.40  'c_Finite__Set_Olinorder__class_OMin'  [132, 2]      (w:1, o:151, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'class_Lattices_Obounded__lattice'  [133, 1]      (w:1, o:107, a:1, s:1, b:
% 14.04/14.40    0), 
% 14.04/14.40  'class_Orderings_Obot'  [134, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 14.04/14.40  'c_Hoare__Mirabelle_Ohoare__valids'  [136, 3]      (w:1, o:165, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'c_Hoare__Mirabelle_Ohoare__derivs'  [137, 3]      (w:1, o:166, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'c_Hoare__Mirabelle_Otriple_Otriple'  [141, 4]      (w:1, o:172, a:1, s:1
% 14.04/14.40    , b:0), 
% 14.04/14.40  'c_fequal'  [146, 2]      (w:1, o:152, a:1, s:1, b:0), 
% 14.04/14.40  'class_OrderedGroup_Opordered__ab__group__add'  [147, 1]      (w:1, o:109
% 14.04/14.40    , a:1, s:1, b:0), 
% 14.04/14.40  'c_Option_Othe'  [148, 2]      (w:1, o:153, a:1, s:1, b:0), 
% 14.04/14.40  'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'  [149, 2]      (w:1, o:142, a:1
% 66.13/66.51    , s:1, b:0), 
% 66.13/66.51  'c_Set_Ocontents'  [150, 2]      (w:1, o:147, a:1, s:1, b:0), 
% 66.13/66.51  'c_Com_Ocom_OBODY'  [156, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 66.13/66.51  'tc_Hoare__Mirabelle_Otriple'  [157, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 66.13/66.51  'c_Com_Obody'  [158, 0]      (w:1, o:70, a:1, s:1, b:0), 
% 66.13/66.51  'tc_Com_Ocom'  [159, 0]      (w:1, o:71, a:1, s:1, b:0), 
% 66.13/66.51  'tc_Com_Ostate'  [160, 0]      (w:1, o:72, a:1, s:1, b:0), 
% 66.13/66.51  'c_Hoare__Mirabelle_OMGT'  [161, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 66.13/66.51  'tc_Com_Opname'  [162, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 66.13/66.51  'c_Com_Ocom_OSKIP'  [163, 0]      (w:1, o:74, a:1, s:1, b:0), 
% 66.13/66.51  'c_Hoare__Mirabelle_Ostate__not__singleton'  [166, 0]      (w:1, o:77, a:1
% 66.13/66.51    , s:1, b:0), 
% 66.13/66.51  'v_G'  [169, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 66.13/66.51  'tc_Option_Ooption'  [172, 1]      (w:1, o:113, a:1, s:1, b:0).
% 66.13/66.51  
% 66.13/66.51  
% 66.13/66.51  Starting Search:
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  
% 66.13/66.51  Intermediate Status:
% 66.13/66.51  Generated:    5522
% 66.13/66.51  Kept:         2029
% 66.13/66.51  Inuse:        182
% 66.13/66.51  Deleted:      5
% 66.13/66.51  Deletedinuse: 0
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  
% 66.13/66.51  Intermediate Status:
% 66.13/66.51  Generated:    10721
% 66.13/66.51  Kept:         4046
% 66.13/66.51  Inuse:        257
% 66.13/66.51  Deleted:      7
% 66.13/66.51  Deletedinuse: 1
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  
% 66.13/66.51  Intermediate Status:
% 66.13/66.51  Generated:    22162
% 66.13/66.51  Kept:         6592
% 66.13/66.51  Inuse:        324
% 66.13/66.51  Deleted:      8
% 66.13/66.51  Deletedinuse: 1
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  
% 66.13/66.51  Intermediate Status:
% 66.13/66.51  Generated:    26553
% 66.13/66.51  Kept:         8596
% 66.13/66.51  Inuse:        351
% 66.13/66.51  Deleted:      9
% 66.13/66.51  Deletedinuse: 1
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  
% 66.13/66.51  Intermediate Status:
% 66.13/66.51  Generated:    33226
% 66.13/66.51  Kept:         10643
% 66.13/66.51  Inuse:        413
% 66.13/66.51  Deleted:      9
% 66.13/66.51  Deletedinuse: 1
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  
% 66.13/66.51  Intermediate Status:
% 66.13/66.51  Generated:    40346
% 66.13/66.51  Kept:         14493
% 66.13/66.51  Inuse:        447
% 66.13/66.51  Deleted:      12
% 66.13/66.51  Deletedinuse: 4
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  
% 66.13/66.51  Intermediate Status:
% 66.13/66.51  Generated:    47608
% 66.13/66.51  Kept:         16502
% 66.13/66.51  Inuse:        512
% 66.13/66.51  Deleted:      12
% 66.13/66.51  Deletedinuse: 4
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  Resimplifying inuse:
% 66.13/66.51  Done
% 66.13/66.51  
% 66.13/66.51  
% 66.13/66.51  Intermediate Status:
% 66.13/66.51  Generated:    53213
% 66.13/66.52  Kept:         18504
% 66.13/66.52  Inuse:        551
% 66.13/66.52  Deleted:      12
% 66.13/66.52  Deletedinuse: 4
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying clauses:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    58568
% 66.13/66.52  Kept:         20562
% 66.13/66.52  Inuse:        585
% 66.13/66.52  Deleted:      90
% 66.13/66.52  Deletedinuse: 4
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    67704
% 66.13/66.52  Kept:         22918
% 66.13/66.52  Inuse:        603
% 66.13/66.52  Deleted:      90
% 66.13/66.52  Deletedinuse: 4
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    73000
% 66.13/66.52  Kept:         24968
% 66.13/66.52  Inuse:        628
% 66.13/66.52  Deleted:      90
% 66.13/66.52  Deletedinuse: 4
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    80687
% 66.13/66.52  Kept:         26998
% 66.13/66.52  Inuse:        670
% 66.13/66.52  Deleted:      90
% 66.13/66.52  Deletedinuse: 4
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    86415
% 66.13/66.52  Kept:         29149
% 66.13/66.52  Inuse:        698
% 66.13/66.52  Deleted:      94
% 66.13/66.52  Deletedinuse: 7
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    91247
% 66.13/66.52  Kept:         31211
% 66.13/66.52  Inuse:        715
% 66.13/66.52  Deleted:      94
% 66.13/66.52  Deletedinuse: 7
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    96312
% 66.13/66.52  Kept:         33222
% 66.13/66.52  Inuse:        730
% 66.13/66.52  Deleted:      95
% 66.13/66.52  Deletedinuse: 8
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    114428
% 66.13/66.52  Kept:         35577
% 66.13/66.52  Inuse:        742
% 66.13/66.52  Deleted:      95
% 66.13/66.52  Deletedinuse: 8
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    125176
% 66.13/66.52  Kept:         37727
% 66.13/66.52  Inuse:        750
% 66.13/66.52  Deleted:      95
% 66.13/66.52  Deletedinuse: 8
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    142230
% 66.13/66.52  Kept:         40039
% 66.13/66.52  Inuse:        757
% 66.13/66.52  Deleted:      95
% 66.13/66.52  Deletedinuse: 8
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying clauses:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    149080
% 66.13/66.52  Kept:         43799
% 66.13/66.52  Inuse:        759
% 66.13/66.52  Deleted:      208
% 66.13/66.52  Deletedinuse: 8
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  Resimplifying inuse:
% 66.13/66.52  Done
% 66.13/66.52  
% 66.13/66.52  
% 66.13/66.52  Intermediate Status:
% 66.13/66.52  Generated:    166230
% 66.13/66.52  Kept:         47183
% 66.13/66.52  Inuse:        809
% 199.07/199.54  Deleted:      209
% 199.07/199.54  Deletedinuse: 9
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    177636
% 199.07/199.54  Kept:         49500
% 199.07/199.54  Inuse:        826
% 199.07/199.54  Deleted:      209
% 199.07/199.54  Deletedinuse: 9
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    185521
% 199.07/199.54  Kept:         51501
% 199.07/199.54  Inuse:        870
% 199.07/199.54  Deleted:      209
% 199.07/199.54  Deletedinuse: 9
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    191197
% 199.07/199.54  Kept:         53877
% 199.07/199.54  Inuse:        879
% 199.07/199.54  Deleted:      209
% 199.07/199.54  Deletedinuse: 9
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    202343
% 199.07/199.54  Kept:         55974
% 199.07/199.54  Inuse:        907
% 199.07/199.54  Deleted:      209
% 199.07/199.54  Deletedinuse: 9
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    218632
% 199.07/199.54  Kept:         58533
% 199.07/199.54  Inuse:        942
% 199.07/199.54  Deleted:      209
% 199.07/199.54  Deletedinuse: 9
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    230619
% 199.07/199.54  Kept:         60662
% 199.07/199.54  Inuse:        962
% 199.07/199.54  Deleted:      209
% 199.07/199.54  Deletedinuse: 9
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying clauses:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    244070
% 199.07/199.54  Kept:         63286
% 199.07/199.54  Inuse:        977
% 199.07/199.54  Deleted:      495
% 199.07/199.54  Deletedinuse: 9
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    257427
% 199.07/199.54  Kept:         65569
% 199.07/199.54  Inuse:        992
% 199.07/199.54  Deleted:      495
% 199.07/199.54  Deletedinuse: 9
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    276626
% 199.07/199.54  Kept:         69003
% 199.07/199.54  Inuse:        1027
% 199.07/199.54  Deleted:      496
% 199.07/199.54  Deletedinuse: 10
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    281980
% 199.07/199.54  Kept:         71096
% 199.07/199.54  Inuse:        1036
% 199.07/199.54  Deleted:      496
% 199.07/199.54  Deletedinuse: 10
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    287489
% 199.07/199.54  Kept:         73107
% 199.07/199.54  Inuse:        1045
% 199.07/199.54  Deleted:      496
% 199.07/199.54  Deletedinuse: 10
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  Resimplifying inuse:
% 199.07/199.54  Done
% 199.07/199.54  
% 199.07/199.54  
% 199.07/199.54  Intermediate Status:
% 199.07/199.54  Generated:    296189
% 199.07/199.54  Kept:         75661
% 199.07/199.54  Inuse:        1052
% 199.07/199.54  Deleted:      496
% 199.07/199.54  Deletedinuse: 10
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    304047
% 199.07/199.55  Kept:         77704
% 199.07/199.55  Inuse:        1057
% 199.07/199.55  Deleted:      496
% 199.07/199.55  Deletedinuse: 10
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    309296
% 199.07/199.55  Kept:         79752
% 199.07/199.55  Inuse:        1065
% 199.07/199.55  Deleted:      496
% 199.07/199.55  Deletedinuse: 10
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    315838
% 199.07/199.55  Kept:         81773
% 199.07/199.55  Inuse:        1078
% 199.07/199.55  Deleted:      497
% 199.07/199.55  Deletedinuse: 11
% 199.07/199.55  
% 199.07/199.55  Resimplifying clauses:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    327079
% 199.07/199.55  Kept:         83820
% 199.07/199.55  Inuse:        1107
% 199.07/199.55  Deleted:      639
% 199.07/199.55  Deletedinuse: 11
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    335831
% 199.07/199.55  Kept:         86148
% 199.07/199.55  Inuse:        1122
% 199.07/199.55  Deleted:      639
% 199.07/199.55  Deletedinuse: 11
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    346793
% 199.07/199.55  Kept:         88365
% 199.07/199.55  Inuse:        1132
% 199.07/199.55  Deleted:      639
% 199.07/199.55  Deletedinuse: 11
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    363163
% 199.07/199.55  Kept:         90565
% 199.07/199.55  Inuse:        1142
% 199.07/199.55  Deleted:      639
% 199.07/199.55  Deletedinuse: 11
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    390539
% 199.07/199.55  Kept:         93508
% 199.07/199.55  Inuse:        1152
% 199.07/199.55  Deleted:      639
% 199.07/199.55  Deletedinuse: 11
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    399517
% 199.07/199.55  Kept:         95589
% 199.07/199.55  Inuse:        1168
% 199.07/199.55  Deleted:      639
% 199.07/199.55  Deletedinuse: 11
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    405674
% 199.07/199.55  Kept:         97814
% 199.07/199.55  Inuse:        1176
% 199.07/199.55  Deleted:      640
% 199.07/199.55  Deletedinuse: 12
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    411786
% 199.07/199.55  Kept:         100001
% 199.07/199.55  Inuse:        1181
% 199.07/199.55  Deleted:      640
% 199.07/199.55  Deletedinuse: 12
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  Resimplifying inuse:
% 199.07/199.55  Done
% 199.07/199.55  
% 199.07/199.55  
% 199.07/199.55  Intermediate Status:
% 199.07/199.55  Generated:    416757
% 199.07/199.55  Kept:         102010
% 199.07/199.55  Inuse:        1187
% 199.07/199.55  DelCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------