TSTP Solution File: SCT030-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SCT030-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 : Mon Jul 18 21:00:40 EDT 2022

% Result   : Timeout 300.01s 300.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SCT030-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Sat Jul  2 00:54:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.94/1.35  *** allocated 10000 integers for termspace/termends
% 0.94/1.35  *** allocated 10000 integers for clauses
% 0.94/1.35  *** allocated 10000 integers for justifications
% 0.94/1.35  *** allocated 15000 integers for termspace/termends
% 0.94/1.35  *** allocated 22500 integers for termspace/termends
% 0.94/1.35  Bliksem 1.12
% 0.94/1.35  
% 0.94/1.35  
% 0.94/1.35  Automatic Strategy Selection
% 0.94/1.35  
% 0.94/1.35  Clauses:
% 0.94/1.35  [
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.94/1.35    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.94/1.35    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.94/1.35    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.94/1.35    X ), ~( 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ), Z, X ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.94/1.35    X ), ~( 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, X ), Y ), Z, X ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.94/1.35    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ), X ), ~( 
% 0.94/1.35    'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.94/1.35    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ), X ), ~( 
% 0.94/1.35    'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.94/1.35    X ), ~( 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ), Z, X ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.94/1.35    X ), ~( 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, X ), Y ), Z, X ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 0.94/1.35     ) ), hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, T, Y, Z, U ), U, Z ), W ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ), X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.94/1.35     [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.35    Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.35    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.35    Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.35    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 0.94/1.35    , 'tc_fun'( Y, 'tc_bool' ) ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 0.94/1.35    , 'tc_fun'( Y, 'tc_bool' ) ), Z ), X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y, X ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Z, X ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.94/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ), ~( 
% 0.94/1.35    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.94/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ), ~( 
% 0.94/1.35    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.94/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ), ~( 
% 0.94/1.35    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Z, X ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y, X ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.94/1.35    , 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.35     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.94/1.35     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.35    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.94/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.94/1.35     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.94/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.94/1.35     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z
% 0.94/1.35    , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z
% 0.94/1.35    , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ), Z ), Z ) ), 'c_lessequals'( X, Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), Z ), X ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), Z ), Z ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), Z ), ~( 
% 0.94/1.35    'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), Z ) ), 
% 0.94/1.35    'c_lessequals'( Y, Z, X ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), Y ), ~( 
% 0.94/1.35    'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.94/1.35    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ), Y ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.94/1.35    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.35    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.35    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.94/1.35    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.94/1.35    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), Y ) ],
% 0.94/1.35     [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( 
% 0.94/1.35    T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.94/1.35    , Z, 'tc_fun'( T, X ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ) ), X ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( U, Z, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.94/1.35    , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ) ), X ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), Y ), Y ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ), X ), Y ), Y ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( T, 'tc_bool' )
% 0.94/1.35     ), X ), Y ) ) ) ],
% 0.94/1.35     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.94/1.35     ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.94/1.35     ), =( Y, W ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), T ) ) ), ~( 'c_lessequals'( T, X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), T ) ) ) ), 'c_lessequals'( T, X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ) ],
% 0.94/1.35     [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), X ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( X ), X ), Y ), 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.94/1.35     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.35     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y, 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.94/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 
% 0.94/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), X ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y, 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.35    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.35    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( Z, Y ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( X, Y ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( X, Y ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.94/1.35    hAPP( 'c_Set_Oinsert'( T, Z ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ), X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), X ), X ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Y ), Y ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X ), X, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.94/1.35    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.94/1.35    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.35    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.94/1.35    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.94/1.35    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.94/1.35    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.94/1.35    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.94/1.35     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.94/1.35    , X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.94/1.35    , X ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 0.94/1.35    , 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), T, Y, 'tc_fun'( U, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Y, 'tc_fun'( 
% 0.94/1.35    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, Y, 'tc_fun'( 
% 0.94/1.35    U, 'tc_bool' ) ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.94/1.35    , Y ) ],
% 0.94/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.94/1.35    , Y ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 'tc_bool' ) ), T ) )
% 0.94/1.35    , T ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 
% 0.94/1.35    'c_lessequals'( T, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), 'c_lessequals'( U, T, X )
% 0.94/1.35    , ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), 'c_lessequals'( Z, Y, X )
% 0.94/1.35    , ~( 'c_lessequals'( U, T, X ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.94/1.35    hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 0.94/1.35     ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( X, Y ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.94/1.35     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.94/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.94/1.35    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.35    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.94/1.35    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z
% 0.94/1.35    , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), U ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.94/1.35    'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35     [ 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( 'c_Set_Oinsert'( Z, T ), U )
% 0.94/1.35    , hAPP( hAPP( X, Z ), W ), T, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y
% 0.94/1.35    , U, W, T, V0 ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.35    , hAPP( 'c_Set_Oinsert'( T, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( T, 
% 0.94/1.35    Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( Y, X ), T ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( 
% 0.94/1.35    Y, U, X ), W ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 0.94/1.35     ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.94/1.35     ), Y ), W ) ) ],
% 0.94/1.35     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.94/1.35    hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.94/1.35    , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( X, Y ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.94/1.35    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( T ), Y ), Z ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'( 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'( 
% 0.94/1.35    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'( 
% 0.94/1.35    Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    T, X, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 0.94/1.35    , Y ), T ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.94/1.35    hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 0.94/1.35     ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 0.94/1.35     ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( 
% 0.94/1.35    X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 'c_Set_Oinsert'( X, Y
% 0.94/1.35     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.35     [ =( X, hAPP( 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( 
% 0.94/1.35    Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ), hAPP( 
% 0.94/1.35    Z, U ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( X, 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Y, U, 'tc_fun'( 
% 0.94/1.35    T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    X, Y, Z, 'tc_fun'( T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.35     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ), T ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ) ), X ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( X, Y ), Z ), T, Y, 'tc_fun'( U, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ), 'tc_fun'( U, 
% 0.94/1.35    'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 
% 0.94/1.35    T, Y, 'tc_fun'( U, 'tc_bool' ) ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y ), 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 0.94/1.35    Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'( U, X
% 0.94/1.35    , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), U, T ), 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Z, T ), hAPP( 'c_Set_Oimage'( Y, U, Z ), 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z
% 0.94/1.35    , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z
% 0.94/1.35    , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.94/1.35     [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.94/1.35    , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), U ), Y, Z ) ), =( T, U ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), U ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Y, 'tc_bool' ) ), U ) ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ) ), X ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), T ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), T ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    Z, 'c_COMBB'( 'c_Set_Oinsert'( X, Y ), T, 'tc_fun'( Y, 'tc_bool' ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'( 
% 0.94/1.35    'c_Set_Oinsert'( Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y
% 0.94/1.35    , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'c_COMBB'( U, X
% 0.94/1.35    , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'( 
% 0.94/1.35    Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), T, Y, 'tc_fun'( U, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, Y, 'tc_fun'( 
% 0.94/1.35    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, Y, 'tc_fun'( 
% 0.94/1.35    U, 'tc_bool' ) ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.35     ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.94/1.35    , 'tc_bool' ) ) ],
% 0.94/1.35     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.35    ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Collect'( 'c_COMBB'( 'c_Not', X, 'tc_bool', 'tc_bool', Y ), Y )
% 0.94/1.35    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    'c_Collect'( X, Y ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Collect'( T, Z ) ), 
% 0.94/1.35    'c_Collect'( 'c_COMBB'( T, X, Z, 'tc_bool', Y ), Y ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.35    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), Z ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), Z ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'( 
% 0.94/1.35    X, Y, Z ), T ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), X ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 'tc_fun'( 
% 0.94/1.35    X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'( 
% 0.94/1.35    Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 0.94/1.35    , hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 'tc_fun'( 
% 0.94/1.35    X, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, W, 'tc_fun'( 
% 0.94/1.35    Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35     [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.94/1.35     ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.94/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.35    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), Z ), X ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), Z ), Z ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y ), ~( 
% 0.94/1.35    'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y ) ), 
% 0.94/1.35    'c_lessequals'( Y, Z, X ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Z ), ~( 
% 0.94/1.35    'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.94/1.35    , 'tc_fun'( Y, 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.35    , T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    Y, 'tc_fun'( Z, 'tc_bool' ) ), X ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.94/1.35    , 'tc_fun'( Y, 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.35    , T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), T, X ), ~( 
% 0.94/1.35    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.94/1.35    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.94/1.35    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), Y ), X ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), T, X ), ~( 
% 0.94/1.35    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), T, X ), ~( 
% 0.94/1.35    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), Y ), X ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), X ) ), Z ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ), X ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), Z ), X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), X ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), X ) ) ) ],
% 0.94/1.35     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.94/1.35     [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP( 
% 0.94/1.35    'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), X ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.35    , hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.35    , hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.94/1.35    X ), ~( 'c_lessequals'( Y, hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.94/1.35    X ), ~( 'c_lessequals'( Y, hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( T, X ), Z ), X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), T, X ), ~( 
% 0.94/1.35    'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), T, X ), ~( 
% 0.94/1.35    'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.94/1.35    X ), ~( 'c_lessequals'( Y, hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.94/1.35    X ), ~( 'c_lessequals'( Y, hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( T, X ), Z ), X ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), T ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), Z ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    Z, 'tc_fun'( Y, 'tc_bool' ) ), X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), Y ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), Y ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), Z ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), U ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Set_Ovimage'( X, Y, Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.94/1.35     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.94/1.35     ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.94/1.35    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.94/1.35    Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.94/1.35    'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 0.94/1.35     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( U, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), Y ), Z, T ) ) ],
% 0.94/1.35     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), U ), Z, T ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.94/1.35    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.94/1.35    Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), Y ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( Y, hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ), X ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( Y, hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ), X ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.94/1.35    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.35    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 0.94/1.35    ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.35    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 0.94/1.35    ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.35    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 0.94/1.35    ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.94/1.35     ) ],
% 0.94/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.35    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 0.94/1.35    ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.94/1.35     ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z, 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.35     ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.35     ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.35    X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.35     ), Z ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.35    'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.35     ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X
% 0.94/1.35     ), U ), Z ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.35    'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.35     ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X
% 0.94/1.35     ), U ), Y ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 0.94/1.35    'c_Set_Oinsert'( Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y
% 0.94/1.35    , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), X
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL( 
% 0.94/1.35    hAPP( hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ) ), 
% 0.94/1.35    ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'( 
% 0.94/1.35    'c_Set_Oinsert'( Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y
% 0.94/1.35    , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), X
% 0.94/1.35     ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'( 
% 0.94/1.35    'c_Set_Oinsert'( Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 0.94/1.35    'c_Set_Oinsert'( Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y
% 0.94/1.35    , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    Z, 'c_COMBB'( 'c_Set_Oinsert'( X, Y ), T, 'tc_fun'( Y, 'tc_bool' ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ) ), =( Z, 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP( 
% 0.94/1.35    'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), X ), Y ), 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), Z ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.94/1.35    'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y, Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), T, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( Z ), Y ), T ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Set_Oinsert'( T, Z ), Y ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z
% 0.94/1.35    , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.94/1.35    , ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( 
% 0.94/1.35    X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.94/1.35    hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 0.94/1.35     ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.35    T, 'tc_fun'( Y, 'tc_bool' ) ), U ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.35    hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.94/1.35    , ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oinsert'( T, Z ), U
% 0.94/1.35     ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.94/1.35    'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oinsert'( T, Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ), ~( 'c_lessequals'( X, hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ), 'c_lessequals'( X, hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    Z, 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.35    , T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( 
% 0.94/1.35    Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.35     ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 'tc_fun'( 
% 0.94/1.35    Z, 'tc_bool' ) ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'( 
% 0.94/1.35    X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.35    Y, 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.94/1.35    , Z, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), T ), T, 'tc_fun'( 
% 0.94/1.35    X, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.94/1.35    X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    Y, 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.94/1.35    , Z, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), T ), T, 'tc_fun'( 
% 0.94/1.35    X, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Z, 'tc_bool' ) ), U ) ), hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) )
% 0.94/1.35     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y, Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), T, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, T, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Typedef_Otype__definition'( 
% 0.94/1.35    X, T, U, W, V0 ) ), =( Y, Z ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( X, Y, Z ), 
% 0.94/1.35    T ) ), T ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ],
% 0.94/1.35     [ =( 'c_Collect'( X, Y ), X ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), T ), 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ],
% 0.94/1.35     [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.94/1.35    , hAPP( 'c_Set_Oinsert'( hAPP( Z, Y ), T ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( X, Y ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( X, Y ), T ) ), hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), Z ) )
% 0.94/1.35    , hAPP( 'c_Set_Oinsert'( X, Y ), Z ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( Z, T ), X ), Y ) ) ) ],
% 0.94/1.35     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 
% 0.94/1.35    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.94/1.35    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ), X ), Y ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ), T ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ) ), X ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), hAPP( 'c_Set_Oinsert'( T, Z
% 0.94/1.35     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ), 
% 0.94/1.35    hAPP( hAPP( U, Y ), T ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.94/1.35    , X, V0, V1, V2, U, V3, V4, Z ) ) ],
% 0.94/1.35     [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), hAPP( 'c_Set_Oinsert'( T, Z
% 0.94/1.35     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ), 
% 0.94/1.35    hAPP( hAPP( U, Y ), T ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.94/1.35    , W, V0, V1, U, V2, V3, V4, Z ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.94/1.35     ), hAPP( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ), 
% 0.94/1.35    ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 0.94/1.35    'tc_bool' ) ), X, T ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'( 
% 0.94/1.35    Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~( 
% 0.94/1.35    'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 0.94/1.35    'tc_bool' ) ), T, X ) ) ],
% 0.94/1.35     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =( 
% 0.94/1.35    Y, Z ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 0.94/1.35    , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), T ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( T, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( U, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), U ), Y, Z ) ) ],
% 0.94/1.35     [ ~( =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( T, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( U, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Y, Z ) ), ~( 
% 0.94/1.35    'c_Fun_Oinj__on'( X, T, Y, Z ) ), 'c_Fun_Oinj__on'( X, hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.35     ), U ), Y, Z ) ],
% 0.94/1.35     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.35    'c_in'( Z ), Y ), T ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 0.94/1.35     ), hAPP( 'c_Set_Oinsert'( Z, U ), hAPP( 'c_Set_Oimage'( X, T, U ), hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( W, 'tc_fun'( T, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( Y, T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.94/1.35    'tc_bool' ) ) ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), U, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, Z ) ), X ), 
% 0.94/1.35    'c_FuncSet_OPi'( T, 'c_COMBK'( U, 'tc_fun'( Z, 'tc_bool' ), Y ), Y, Z ) )
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U, 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ), ~( 'c_lessequals'( T, hAPP( 'c_Set_Oimage'( X, Y, Z ), U
% 0.94/1.35     ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( X, Y, Z ), T ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.35    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), Y, Z ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.94/1.35    , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( X ), 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T, U, Z, X
% 0.94/1.35    , Y ) ), T ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.94/1.35    , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( Y ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T
% 0.94/1.35    , U, Z, X, Y ) ) ), U ) ) ) ],
% 0.94/1.35     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.35    'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.94/1.35    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( 
% 0.94/1.35    Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.35     ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'( 
% 0.94/1.35    'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( 
% 0.94/1.35    Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.35     ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'( 
% 0.94/1.35    Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.35    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    Z, 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.35    , T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), 'c_Collect'( hAPP( 'c_COMBC'( 
% 0.94/1.35    'c_COMBB'( 'c_in'( Z ), X, Z, 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 
% 0.94/1.35    'tc_bool' ), Y ), Y, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), T ), Y ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.94/1.35     ), 'c_Collect'( 'c_COMBB'( 'c_Not', hAPP( 'c_COMBC'( 'c_in'( X ), X, 
% 0.94/1.35    'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ), 'tc_bool', 'tc_bool', X ), X
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.35     ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X ), X, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ) ) ],
% 0.94/1.35     [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), Y, Z ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, T ) ), 
% 0.94/1.35    hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 
% 0.94/1.35    Y, 'tc_bool' ) ) ) ) ), =( hAPP( X, T ), hAPP( X, 
% 0.94/1.35    'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, T ), X, T, Z, 
% 0.94/1.35    Y ) ) ) ],
% 0.94/1.35     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.35    'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, T, U, Z )
% 0.94/1.35     ), hAPP( 'c_Set_Oimage'( T, U, Z ), 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.35    'tc_fun'( U, 'tc_bool' ) ) ) ) ), ~( 'c_Fun_Oinj__on'( T, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( =( 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, Y ), 
% 0.94/1.35    X, Y, Z, T ), Y ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ), 
% 0.94/1.35    hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, Y ) ), hAPP( 'c_Set_Oimage'( X, 
% 0.94/1.35    T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) ) )
% 0.94/1.35     ],
% 0.94/1.35     [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( X, Y
% 0.94/1.35    , Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( Y, T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 0.94/1.35    'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ) ]
% 0.94/1.35    ,
% 0.94/1.35     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 
% 0.94/1.35    'c_Set_Oimage'( Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 0.94/1.35    'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, X ) ), =( 
% 0.94/1.35    Z, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( hAPP( Y, Z ), Y, X, 
% 0.94/1.35    T ) ) ],
% 0.94/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( 
% 0.94/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), 
% 0.94/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =( hAPP( 
% 0.94/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ), =( hAPP( 
% 0.94/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 0.94/1.35     [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.94/1.35    , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.35    Z, 'tc_fun'( W, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( T, W ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ) ) ), U, W, V0
% 0.94/1.35     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), T, 
% 0.94/1.35    'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) )
% 0.94/1.35     ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Z, Y ), T ), 'tc_fun'( Y
% 0.94/1.35    , 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), ~( 
% 0.94/1.35    'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y, Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), T, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), ~( 
% 0.94/1.35    'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z, 
% 0.94/1.35    'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y, Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), T, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35     [ =( 'c_Finite__Set_Osetsum'( X, hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.94/1.35    'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( T, Z ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), Z, 
% 0.94/1.35    'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Y, Z, 'tc_nat' ) ), hBOOL( hAPP( 
% 0.94/1.35    hAPP( 'c_in'( Z ), T ), Y ) ) ],
% 0.94/1.35     [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.94/1.35     ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~( 
% 0.94/1.35    'c_Finite__Set_Ofold__graph'( X, Y, hAPP( 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.35    , 'tc_fun'( W, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( T, W ), 
% 0.94/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ) ) ), U, W, V0
% 0.94/1.35     ) ) ],
% 0.94/1.35     [ 'c_Fun_Oinj__on'( X, hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( 
% 0.94/1.35    Z, 'tc_bool' ) ), T ), Z, U ), ~( 'c_Fun_Oinj__on'( X, Y, Z, U ) ) ],
% 0.94/1.35     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 'tc_fun'( 
% 0.94/1.36    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.94/1.36    'tc_bool' ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ), X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.36     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 
% 0.94/1.36    'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) )
% 0.94/1.36     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.94/1.36    'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y, Z ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), T, 
% 0.94/1.36    'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) )
% 0.94/1.36     ],
% 0.94/1.36     [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), T, 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) )
% 0.94/1.36     ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), T ) ), ~( 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Set_Oinsert'( Z, Y ), T ), 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.36     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.94/1.36    , Z, V2, Y ) ) ],
% 0.94/1.36     [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.36     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.94/1.36    , V2, Z, Y ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.36    Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.36    Z, 'tc_fun'( Y, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), 
% 0.94/1.36    X ), T ) ) ) ],
% 0.94/1.36     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( U, Z ), Y ), Z, T ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.94/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.94/1.36    'tc_bool' ) ) ) ) ) ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( 
% 0.94/1.36    Y, 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ) ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), Z ), X ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.36     ), 'c_Collect'( X, Z ) ) ) ) ) ],
% 0.94/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBK'( 
% 0.94/1.36    Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =( 
% 0.94/1.36    X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'c_COMBK'( Z, X
% 0.94/1.36    , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.94/1.36    'tc_bool' ) ) ) ],
% 0.94/1.36     [ =( X, hAPP( 'c_Set_Oinsert'( Y, Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( X, Y, Z ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.36    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.36     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.36     [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), Z, U ), hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( U ), hAPP( X, Y ) ), hAPP( 'c_Set_Oimage'( X, Z, U )
% 0.94/1.36    , hAPP( 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.94/1.36    'tc_bool' ) ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'( X, T, Z, U ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) )
% 0.94/1.36    , hAPP( 'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), T ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ) ), X ) ],
% 0.94/1.36     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 0.94/1.36    U ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'( 
% 0.94/1.36    Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 0.94/1.36     ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( T, X ), T ) ) ), =( Y, Z ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( Y, X ), Y ), hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( Z, X ), T ) ) ), =( Z, T ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.94/1.36    , 'tc_bool' ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.36    Z ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ), Z ) ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.94/1.36     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ), Y, Z ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), Z ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.36    Z, 'tc_fun'( Y, 'tc_bool' ) ), X ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), Y ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), Y ) ) ],
% 0.94/1.36     [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T, 
% 0.94/1.36    'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.94/1.36     ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.36    Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( X, Y ), Z ) ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), =( X, Z
% 0.94/1.36     ) ],
% 0.94/1.36     [ ~( =( hAPP( X, 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X
% 0.94/1.36    , Y ) ), hAPP( 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y
% 0.94/1.36     ), Y ) ) ), 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( Y ), X ), Z ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), T ) ), hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Set_Ovimage'( X, Y, Z ), T ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.36    T, 'tc_fun'( Y, 'tc_bool' ) ), U ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.36    hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'( 
% 0.94/1.36    Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =( 
% 0.94/1.36    X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.94/1.36    , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.94/1.36    'tc_bool' ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    Z, T ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oinsert'( hAPP( X, Y ), Z ), hAPP( 'c_Set_Oimage'( X, 
% 0.94/1.36    T, Z ), U ) ), hAPP( 'c_Set_Oimage'( X, T, Z ), U ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( T ), Y ), U ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( X, Y ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.94/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.94/1.36    , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 
% 0.94/1.36    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 0.94/1.36    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.36    'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.94/1.36     ) ) ],
% 0.94/1.36     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.94/1.36    'tc_bool' ) ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ), X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( X ), Y ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ), 'c_Collect'( T, X ) ) ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 
% 0.94/1.36    'c_Set_Oimage'( Y, T, X ), hAPP( 'c_HOL_Ominus__class_Ominus'( U, 
% 0.94/1.36    'tc_fun'( T, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, T ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ) ), 
% 0.94/1.36    ~( 'c_Fun_Oinj__on'( Y, hAPP( 'c_Set_Oinsert'( Z, T ), U ), T, X ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.36    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), 
% 0.94/1.36    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ), Z ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.36    Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), 
% 0.94/1.36    hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( T, 'tc_bool' )
% 0.94/1.36     ), X ), Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.36     ), T ), Y ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.36    Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), 
% 0.94/1.36    hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), Z ) ) ],
% 0.94/1.36     [ =( 'c_Fun_Ooverride__on'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( Z, 'tc_bool' ) ), Z, T ), X ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.36    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ), 
% 0.94/1.36    Y ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.36    X ), Y ) ), Y ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.36    X ), Y ) ), Y ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.36    X ), Y ) ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.36    X ), Y ) ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.94/1.36    X ), Y ) ), Y ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.36    Y, X ), Z ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, X ), Y ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.36     ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.36    'c_Set_Ovimage'( X, Y, Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.94/1.36    Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.94/1.36    Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.94/1.36    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.94/1.36    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbspec__1__1'( T, X, Z ) )
% 0.94/1.36     ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, U )
% 0.94/1.36     ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.36     ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.36     ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.94/1.36    , Z ) ), T ) ), ~( hBOOL( hAPP( U, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.94/1.36    , Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.94/1.36    , Z ) ), T ) ), ~( hBOOL( hAPP( X, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.94/1.36    , Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( X, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.94/1.36    , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.94/1.36    , Z ) ), T ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( U, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.94/1.36    , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.94/1.36    , Z ) ), T ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.94/1.36    'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Z, X ), T
% 0.94/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Z, X ), T
% 0.94/1.36     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.94/1.36     ), U ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'( 
% 0.94/1.36    W, 'tc_bool' ) ), Z ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 0.94/1.36    , Y ), U ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'( 
% 0.94/1.36    W, 'tc_bool' ) ), U ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.94/1.36     ), U ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'( 
% 0.94/1.36    W, 'tc_bool' ) ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.94/1.36    'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( 
% 0.94/1.36    'c_Typedef_Otype__definition'( Y, U, T, W, X ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.94/1.36    'c_SetInterval_Oord_OgreaterThanLessThan'( Z, T, U, X ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( T, X ), Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.94/1.36    'c_SetInterval_Oord_OgreaterThanAtMost'( Z, T, U, W, X ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( Z, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), T ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ), T ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ), T ) ) ) ],
% 0.94/1.36     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.94/1.36    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.94/1.36     ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.94/1.36    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.94/1.36    , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z, 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y, 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.94/1.36     [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'( 
% 0.94/1.36    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.94/1.36     ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 0.94/1.36     ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.36     ) ), Y ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ), T ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), T ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), T ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.94/1.36    'tc_bool' ) ) ) ],
% 0.94/1.36     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.94/1.36    hAPP( 'c_Set_Oinsert'( T, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 
% 0.94/1.36    'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) )
% 0.94/1.36     ), ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( X ), Y ), T ) ) ), ~( =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.36     ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( X ), X ), Y ), Y ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.94/1.36    'tc_bool' ) ), Y ), Y ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ) ), X ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), 
% 0.94/1.36    T ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z
% 0.94/1.36    , 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), Z ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ],
% 0.94/1.36     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.94/1.36    , X ) ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.36    , Y, X ) ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.36    , Y, X ) ) ],
% 0.94/1.36     [ ~( =( hAPP( X, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( Y, X
% 0.94/1.36    , Z, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( 
% 0.94/1.36    Y, X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, U ) ), 
% 0.94/1.36    Z ), 'c_FuncSet_Oextensional'( Y, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( 'tc_fun'( T, U ) ), X ), 'c_FuncSet_Oextensional'( Y, T, U ) ) )
% 0.94/1.36     ), =( X, Z ) ],
% 0.94/1.36     [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.94/1.36     ), Y ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.94/1.36    , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.36    Z ) ) ), =( Y, Z ) ],
% 0.94/1.36     [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.94/1.36     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.36     ), =( Z, Y ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.36     ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.36    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.36    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.36     ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), T, X ), ~( 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), T, X ), ~( 
% 0.94/1.36    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.94/1.36    , U ), =( X, T ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.94/1.36    , T ), =( X, T ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.94/1.36    , U ), =( Z, U ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.94/1.36    , T ), =( Z, U ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.94/1.36     [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~( 'c_Typedef_Otype__definition'( Y, 
% 0.94/1.36    X, T, U, W ) ) ],
% 0.94/1.36     [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ) ), hAPP( hAPP( U, Y ), 
% 0.94/1.36    hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, 
% 0.94/1.36    V1, V2, U, V3, V4, Z ) ) ],
% 0.94/1.36     [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ) ), hAPP( hAPP( U, Y ), 
% 0.94/1.36    hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, 
% 0.94/1.36    V1, U, V2, V3, V4, Z ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 0.94/1.36     ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U, 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( U ), V0 ), Y ) ) ) ],
% 0.94/1.36     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( Y, X ), Z ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( X, Y ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( X, Y ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( Z, Y ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oinsert'( T, Y ), U )
% 0.94/1.36     ), hAPP( 'c_Set_Oinsert'( hAPP( X, T ), Z ), hAPP( 'c_Set_Oimage'( X, Y
% 0.94/1.36    , Z ), U ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), hAPP( 
% 0.94/1.36    'c_Set_Ovimage'( X, T, U ), hAPP( 'c_Set_Oinsert'( Z, U ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.94/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.94/1.36    'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.94/1.36    'tc_bool' ) ) ) ],
% 0.94/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.94/1.36    , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.36    'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), X ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 0.94/1.36     ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ), Z ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), Z ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.94/1.36    'c_Typedef_Otype__definition'( U, X, T, Z, Y ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ) ), T ), ~( 'c_Typedef_Otype__definition'( X, U
% 0.94/1.36    , T, Y, Z ) ) ],
% 0.94/1.36     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.36     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.94/1.36    , Z, V2, Y ) ) ],
% 0.94/1.36     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.36     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.94/1.36    , V2, Z, Y ) ) ],
% 0.94/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'( 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.94/1.36    'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.94/1.36    Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( X, Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), Z ), 
% 0.94/1.36    ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), Z ) ) ) ],
% 0.94/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Y ), Y ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ), X ), X ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T, 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.94/1.36     ), X ), hAPP( 'c_Set_Oinsert'( Y, X ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.36     ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 'tc_bool' ) ), T
% 0.94/1.36     ) ) ) ],
% 0.94/1.36     [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), Y ), ~( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.94/1.36     ) ],
% 0.94/1.36     [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), Y ), ~( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.94/1.36     ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.36     ), 'c_Collect'( T, X ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( X, Y ), 
% 0.94/1.36    'tc_fun'( Z, 'tc_bool' ) ), 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X, U, 'tc_fun'( 
% 0.94/1.36    Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 
% 0.94/1.36    T, X, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 0.94/1.36    , Y ), T ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( T, hAPP( X, U ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.94/1.36    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( 
% 0.94/1.36    hBOOL( hAPP( X, T ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), 
% 0.94/1.36    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), 'c_HOL_Oord__class_Oless'( 
% 0.94/1.36    T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.36     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), 'c_HOL_Oord__class_Oless'( 
% 0.94/1.36    Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.94/1.36     [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), hAPP( 'c_Set_Oinsert'( 
% 0.94/1.36    Y, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.94/1.36    'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.36    , 'tc_bool' ) ) ) ],
% 0.94/1.36     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP( 
% 0.94/1.36    'c_Set_Oinsert'( X, Y ), Z ), T, Y, 'tc_fun'( U, 'tc_bool' ) ), hAPP( 
% 0.94/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( T, X ), 'tc_fun'( U, 
% 0.94/1.36    'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 
% 0.94/1.36    T, Y, 'tc_fun'( U, 'tc_bool' ) ) ) ) ],
% 0.94/1.36     [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 
% 0.94/1.36    'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.36    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.36    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.36    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.36     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.36    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( Z, Y, X ) ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( Y, W ) ), 
% 0.94/1.36    ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'( 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'( 
% 0.94/1.36    X, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.94/1.36     ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, W, X, 
% 0.94/1.36    'tc_fun'( T, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'( 
% 0.94/1.36    X, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xbspec__1__1'( 
% 0.94/1.36    T, X, Z ) ), T ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( X ), Y ), hAPP( 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( X, 
% 0.94/1.36    'tc_bool' ) ), Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( X ), Y ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( X, 
% 0.94/1.36    'tc_bool' ) ), T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~( 
% 0.94/1.36    hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.94/1.36     ) ) ],
% 0.94/1.36     [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.94/1.36     ), U ) ) ), ~( 'c_Typedef_Otype__definition'( X, Y, U, W, T ) ) ],
% 0.94/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.94/1.36     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~( 
% 0.94/1.36    'c_Typedef_Otype__definition'( W, X, U, V0, T ) ), =( Y, Z ) ],
% 0.94/1.36     [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), 
% 0.94/1.36    hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 
% 0.94/1.36    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ), 
% 0.94/1.36    hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.94/1.36    'tc_bool' ) ), Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 0.94/1.36     ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.94/1.36     ), 'c_SetInterval_Oord_OgreaterThanAtMost'( U, X, Y, W, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.94/1.36     ), 'c_SetInterval_Oord_OgreaterThanAtMost'( X, U, W, Z, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'( 
% 0.94/1.36    X, 'tc_bool' ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.94/1.36     ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.94/1.36     ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.94/1.36     ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( X, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.94/1.36    , Z ) ) ) ), ~( hBOOL( hAPP( U, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.94/1.36    , Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( U, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.94/1.36    , Z ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.94/1.36    , Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.94/1.36    , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.94/1.36    , Z ) ), T ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.94/1.36    , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.94/1.36    , Z ) ), T ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( X, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.94/1.36    , X, Z ) ) ) ), ~( hBOOL( hAPP( U, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.94/1.36    , X, Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( U, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.94/1.36    , U, Z ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.94/1.36    , U, Z ) ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.94/1.36    , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'( 
% 0.94/1.36    Z, T, X ) ), Z ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.94/1.36    , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.94/1.36     ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.94/1.36     ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, Y, U, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.94/1.36     ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, U, Z, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( X ), Y ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( T, 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( X ), Y ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.94/1.36    'tc_fun'( X, 'tc_bool' ) ), T ) ) ) ) ],
% 0.94/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.94/1.36     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y, 
% 0.94/1.36    Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.94/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.94/1.36     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~( 
% 0.94/1.36    'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.94/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.94/1.36     ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~( 
% 0.94/1.36    'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.94/1.36     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.94/1.36     ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~( 
% 0.94/1.36    hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.94/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 
% 0.94/1.36    'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.94/1.36     ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( Z, Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 
% 0.94/1.36    'c_Collect'( X, Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z, 
% 0.94/1.36    T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.94/1.36     ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( X, 'tc_bool' ) ), T ) ) ), 
% 0.94/1.36    hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.36    X ), Y ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 
% 0.94/1.36    'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( X, 'tc_bool' ) ), T ) ) ), 
% 0.94/1.36    hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.36    X ), Y ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.94/1.36    , X, Z ) ), T ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.94/1.36    , hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.94/1.36    , U, Z ) ), T ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.94/1.36    , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 0.94/1.36     ) ) ],
% 0.94/1.36     [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( 'c_Set_Oinsert'( X, Y
% 0.94/1.36     ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T ) ), hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( Y ), X ), Z ) ), =( Z, T ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( 
% 0.94/1.36    Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( 
% 0.94/1.36    hBOOL( hAPP( Z, T ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 0.94/1.36    X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.94/1.36     ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 0.94/1.36    X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.94/1.36     ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'( 
% 0.94/1.36    Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.94/1.36     ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, 
% 0.94/1.36    'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 0.94/1.36     ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 0.94/1.36    , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.94/1.36    , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.94/1.36    , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.94/1.36    , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 0.94/1.36    , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.94/1.36    , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.94/1.36     ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.94/1.36     ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.94/1.36     ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.94/1.36     ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.94/1.36     ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.94/1.36     ), Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( 
% 0.94/1.36    Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( X ), T ), Y ) ) ) ],
% 0.94/1.36     [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( Y ), X ), Z ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 0.94/1.36    , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.94/1.36     ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'( 
% 0.94/1.36    T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.94/1.36    Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.94/1.36     ],
% 0.94/1.36     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.94/1.36    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.94/1.36    U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'( 
% 0.94/1.36    T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.94/1.36    Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.94/1.36     ],
% 0.94/1.36     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.94/1.36    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.94/1.36    U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.94/1.36     ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.94/1.36     ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.36    'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL( 
% 0.94/1.36    hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 0.94/1.36     ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 0.94/1.36    , Y ) ) ) ],
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'( 
% 0.94/1.36    Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'( 
% 0.94/1.36    Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.94/1.36    , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.36    'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ), T ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.94/1.36    , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), 
% 0.94/1.36    'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ), T ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ =( hAPP( X, Y ), 'c_HOL_Oundefined'( Z ) ), hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.36    T ), Y ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, Z ) ), X ), 
% 0.94/1.36    'c_FuncSet_Oextensional'( U, T, Z ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.94/1.36    , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z, 
% 0.94/1.36    'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ), hAPP( U, 
% 0.94/1.36    'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.94/1.36     [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( Z ), 
% 0.94/1.36    'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( T, X, Y, Z, U ) ), T )
% 0.94/1.36     ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, U ) ), Y ), 
% 0.94/1.36    'c_FuncSet_Oextensional'( T, Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.36    'tc_fun'( Z, U ) ), X ), 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( 
% 0.94/1.36    hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 
% 0.94/1.36    U, X ) ), Y ), 'c_FuncSet_OPi'( W, 'c_COMBK'( T, 'tc_fun'( X, 'tc_bool' )
% 0.94/1.36    , U ), U, X ) ) ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.94/1.36    , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z, 
% 0.94/1.36    'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ), hAPP( U, 
% 0.94/1.36    'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.94/1.36     [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.36    'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.36    'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ) ), 
% 0.94/1.36    'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 0.94/1.36     [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.36    'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.36    'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X
% 0.94/1.36     ) ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 0.94/1.36     [ 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ), hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.36    'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, 
% 0.94/1.36    Y ) ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 0.94/1.36     [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.36    'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.36    'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ) ), 
% 0.94/1.36    'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( 
% 0.94/1.36    hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X ) ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.94/1.36    'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ =( hAPP( X, Y ), hAPP( Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 
% 0.94/1.36    'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.36    'tc_bool' ) ) ), Y ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( 
% 0.94/1.36    'c_Arrow__Order__Mirabelle_Odictator'( X, Z ) ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.94/1.36     ],
% 0.94/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.94/1.36     ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 
% 0.94/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.36    'tc_bool' ) ) ), 'v_P____' ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 
% 0.94/1.36    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.94/1.36    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.94/1.36    'tc_bool' ) ) ), 'v_Q____' ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.36    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.94/1.36     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.36    'class_Lattices_Olattice'( Y ) ) ],
% 0.94/1.36     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.36    'class_Lattices_Olattice'( Y ) ) ],
% 0.94/1.36     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.36    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.94/1.36     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.36    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.94/1.36     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.36    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.94/1.36     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.36    'class_Orderings_Opreorder'( Y ) ) ],
% 0.94/1.36     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.36    'class_Lattices_Olattice'( Y ) ) ],
% 0.94/1.36     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.94/1.36    'class_Orderings_Oorder'( Y ) ) ],
% 0.94/1.36     [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'( 
% 0.94/1.36    Y ) ) ],
% 0.94/1.36     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.94/1.36    Y ) ) ],
% 0.94/1.36     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.94/1.36    ,
% 0.94/1.36     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.94/1.36     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.94/1.36     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.94/1.36     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.94/1.36     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.94/1.36     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.94/1.36     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.94/1.36     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.94/1.36     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.94/1.36     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.94/1.36     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.94/1.36     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.94/1.36     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.94/1.36  ] .
% 0.94/1.36  
% 0.94/1.36  
% 0.94/1.36  percentage equality = 0.291602, percentage horn = 0.880524
% 0.94/1.36  This is a problem with some equality
% 0.94/1.36  
% 0.94/1.36  
% 0.94/1.36  
% 0.94/1.36  Options Used:
% 0.94/1.36  
% 0.94/1.36  useres =            1
% 0.94/1.36  useparamod =        1
% 0.94/1.36  useeqrefl =         1
% 0.94/1.36  useeqfact =         1
% 0.94/1.36  usefactor =         1
% 0.94/1.36  usesimpsplitting =  0
% 0.94/1.36  usesimpdemod =      5
% 0.94/1.36  usesimpres =        3
% 0.94/1.36  
% 0.94/1.36  resimpinuse      =  1000
% 0.94/1.36  resimpclauses =     20000
% 0.94/1.36  substype =          eqrewr
% 0.94/1.36  backwardsubs =      1
% 0.94/1.36  selectoldest =      5
% 0.94/1.36  
% 0.94/1.36  litorderings [0] =  split
% 0.94/1.36  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.94/1.36  
% 0.94/1.36  termordering =      kbo
% 0.94/1.36  
% 0.94/1.36  litapriori =        0
% 0.94/1.36  termapriori =       1
% 0.94/1.36  litaposteriori =    0
% 0.94/1.36  termaposteriori =   0
% 0.94/1.36  demodaposteriori =  0
% 0.94/1.36  ordereqreflfact =   0
% 0.94/1.36  
% 0.94/1.36  litselect =         negord
% 0.94/1.36  
% 0.94/1.36  maxweight =         15
% 0.94/1.36  maxdepth =          30000
% 0.94/1.36  maxlength =         115
% 0.94/1.36  maxnrvars =         195
% 0.94/1.36  excuselevel =       1
% 0.94/1.36  increasemaxweight = 1
% 0.94/1.36  
% 0.94/1.36  maxselected =       10000000
% 0.94/1.36  maxnrclauses =      10000000
% 0.94/1.36  
% 0.94/1.36  showgenerated =    0
% 0.94/1.36  showkept =         0
% 0.94/1.36  showselected =     0
% 0.94/1.36  showdeleted =      0
% 0.94/1.36  showresimp =       1
% 0.94/1.36  showstatus =       2000
% 0.94/1.36  
% 0.94/1.36  prologoutput =     1
% 0.94/1.36  nrgoals =          5000000
% 0.94/1.36  totalproof =       1
% 0.94/1.36  
% 0.94/1.36  Symbols occurring in the translation:
% 0.94/1.36  
% 0.94/1.36  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.94/1.36  .  [1, 2]      (w:1, o:105, a:1, s:1, b:0), 
% 0.94/1.36  !  [4, 1]      (w:0, o:70, a:1, s:1, b:0), 
% 0.94/1.36  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.94/1.36  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.94/1.36  'tc_bool'  [42, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.94/1.36  'tc_fun'  [43, 2]      (w:1, o:130, a:1, s:1, b:0), 
% 0.94/1.36  'c_lessequals'  [44, 3]      (w:1, o:140, a:1, s:1, b:0), 
% 0.94/1.36  'c_Lattices_Oupper__semilattice__class_Osup'  [46, 2]      (w:1, o:131, a:1
% 0.94/1.36    , s:1, b:0), 
% 0.94/1.36  hAPP  [47, 2]      (w:1, o:132, a:1, s:1, b:0), 
% 0.94/1.36  'class_Orderings_Oorder'  [48, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 0.94/1.36  'class_Lattices_Oupper__semilattice'  [52, 1]      (w:1, o:76, a:1, s:1, b:
% 0.94/1.36    0), 
% 0.94/1.36  'c_Set_Oimage'  [57, 3]      (w:1, o:141, a:1, s:1, b:0), 
% 0.94/1.36  'c_COMBB'  [60, 5]      (w:1, o:169, a:1, s:1, b:0), 
% 0.94/1.36  'c_Lattices_Olower__semilattice__class_Oinf'  [61, 2]      (w:1, o:133, a:1
% 0.94/1.36    , s:1, b:0), 
% 0.94/1.36  'class_Lattices_Odistrib__lattice'  [62, 1]      (w:1, o:77, a:1, s:1, b:0)
% 0.94/1.36    , 
% 0.94/1.36  'class_Orderings_Otop'  [63, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 0.94/1.36  'c_Orderings_Otop__class_Otop'  [64, 1]      (w:1, o:79, a:1, s:1, b:0), 
% 0.94/1.36  'class_Lattices_Olower__semilattice'  [65, 1]      (w:1, o:80, a:1, s:1, b:
% 2.63/3.08    0), 
% 2.63/3.08  'class_Lattices_Olattice'  [66, 1]      (w:1, o:81, a:1, s:1, b:0), 
% 2.63/3.08  'c_Orderings_Obot__class_Obot'  [68, 1]      (w:1, o:82, a:1, s:1, b:0), 
% 2.63/3.08  'c_Fun_Ofun__upd'  [70, 5]      (w:1, o:170, a:1, s:1, b:0), 
% 2.63/3.08  'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'  [71, 4]      (w:1
% 2.63/3.08    , o:157, a:1, s:1, b:0), 
% 2.63/3.08  'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'  [73, 4]      (w:1
% 2.63/3.08    , o:158, a:1, s:1, b:0), 
% 2.63/3.08  'class_Orderings_Opreorder'  [74, 1]      (w:1, o:83, a:1, s:1, b:0), 
% 2.63/3.08  'c_HOL_Oord__class_Oless'  [75, 3]      (w:1, o:142, a:1, s:1, b:0), 
% 2.63/3.08  'class_HOL_Oord'  [76, 1]      (w:1, o:84, a:1, s:1, b:0), 
% 2.63/3.08  'c_HOL_Ominus__class_Ominus'  [77, 2]      (w:1, o:134, a:1, s:1, b:0), 
% 2.63/3.08  'class_Lattices_Obounded__lattice'  [78, 1]      (w:1, o:85, a:1, s:1, b:0)
% 2.63/3.08    , 
% 2.63/3.08  hBOOL  [79, 1]      (w:1, o:86, a:1, s:1, b:0), 
% 2.63/3.08  'c_Finite__Set_Ofold__graph'  [83, 6]      (w:1, o:181, a:1, s:1, b:0), 
% 2.63/3.08  'c_Set_Oinsert'  [84, 2]      (w:1, o:135, a:1, s:1, b:0), 
% 2.63/3.08  'class_Orderings_Obot'  [85, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 2.63/3.08  'c_HOL_Ouminus__class_Ouminus'  [86, 1]      (w:1, o:88, a:1, s:1, b:0), 
% 2.63/3.08  'class_OrderedGroup_Opordered__ab__group__add'  [87, 1]      (w:1, o:89, a:
% 2.63/3.08    1, s:1, b:0), 
% 2.63/3.08  'class_Orderings_Olinorder'  [91, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 2.63/3.08  'c_Fun_Oinj__on'  [92, 4]      (w:1, o:159, a:1, s:1, b:0), 
% 2.63/3.08  'c_in'  [96, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 2.63/3.08  'class_Complete__Lattice_Ocomplete__lattice'  [97, 1]      (w:1, o:92, a:1
% 2.63/3.08    , s:1, b:0), 
% 2.63/3.08  'c_COMBC'  [101, 4]      (w:1, o:160, a:1, s:1, b:0), 
% 2.63/3.08  'class_OrderedGroup_Olordered__ab__group__add'  [102, 1]      (w:1, o:93
% 2.63/3.08    , a:1, s:1, b:0), 
% 2.63/3.08  'class_Lattices_Oboolean__algebra'  [103, 1]      (w:1, o:94, a:1, s:1, b:0
% 2.63/3.08    ), 
% 2.63/3.08  'c_Not'  [104, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 2.63/3.08  'c_Collect'  [105, 2]      (w:1, o:136, a:1, s:1, b:0), 
% 2.63/3.08  'c_Set_Ovimage'  [106, 3]      (w:1, o:143, a:1, s:1, b:0), 
% 2.63/3.08  'c_Nitpick_Ofold__graph_H'  [107, 6]      (w:1, o:182, a:1, s:1, b:0), 
% 2.63/3.08  'class_OrderedGroup_Oab__group__add'  [108, 1]      (w:1, o:95, a:1, s:1
% 2.63/3.08    , b:0), 
% 2.63/3.08  'c_Finite__Set_Osetsum'  [109, 4]      (w:1, o:161, a:1, s:1, b:0), 
% 2.63/3.08  'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'  [111, 4]      (w:1, o:162, a:1
% 2.63/3.08    , s:1, b:0), 
% 2.63/3.08  'c_fequal'  [114, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 2.63/3.08  'c_Typedef_Otype__definition'  [117, 5]      (w:1, o:173, a:1, s:1, b:0), 
% 2.63/3.08  'c_Complete__Lattice_Ocomplete__lattice'  [126, 9]      (w:1, o:183, a:1
% 2.63/3.08    , s:1, b:0), 
% 2.63/3.08  'c_COMBK'  [127, 3]      (w:1, o:144, a:1, s:1, b:0), 
% 2.63/3.08  'c_FuncSet_OPi'  [128, 4]      (w:1, o:163, a:1, s:1, b:0), 
% 2.63/3.08  'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'  [129, 5]      (w:1, o:175, a:1
% 2.63/3.08    , s:1, b:0), 
% 2.63/3.08  'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'  [130, 5]      (w:1, o:176
% 2.63/3.08    , a:1, s:1, b:0), 
% 2.63/3.08  'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'  [131, 4]      
% 2.63/3.08    (w:1, o:164, a:1, s:1, b:0), 
% 2.63/3.08  'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'  [132, 4]      (w:1, o:165
% 2.63/3.08    , a:1, s:1, b:0), 
% 2.63/3.08  'tc_nat'  [133, 0]      (w:1, o:59, a:1, s:1, b:0), 
% 2.63/3.08  'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'  [134, 3]      (w:1, o:146
% 2.63/3.08    , a:1, s:1, b:0), 
% 2.63/3.08  'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'  [136, 2]      (w:1, o:
% 2.63/3.08    137, a:1, s:1, b:0), 
% 2.63/3.08  'c_Arrow__Order__Mirabelle_Odictator'  [137, 2]      (w:1, o:138, a:1, s:1
% 2.63/3.08    , b:0), 
% 2.63/3.08  'c_Fun_Ooverride__on'  [138, 5]      (w:1, o:177, a:1, s:1, b:0), 
% 2.63/3.08  'class_OrderedGroup_Ogroup__add'  [139, 1]      (w:1, o:97, a:1, s:1, b:0)
% 2.63/3.08    , 
% 2.63/3.08  'c_ATP__Linkup_Osko__Set__Xbspec__1__1'  [140, 3]      (w:1, o:147, a:1, s:
% 2.63/3.08    1, b:0), 
% 2.63/3.08  'c_ATP__Linkup_Osko__Set__XbexCI__1__1'  [141, 3]      (w:1, o:148, a:1, s:
% 2.63/3.08    1, b:0), 
% 2.63/3.08  'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'  [143, 
% 2.63/3.08    3]      (w:1, o:149, a:1, s:1, b:0), 
% 2.63/3.08  'c_SetInterval_Oord_OatLeastLessThan'  [145, 5]      (w:1, o:171, a:1, s:1
% 2.63/3.08    , b:0), 
% 2.63/3.08  'c_SetInterval_Oord_OatLeastAtMost'  [146, 4]      (w:1, o:166, a:1, s:1
% 2.63/3.08    , b:0), 
% 2.63/3.08  'c_SetInterval_Oord_OgreaterThanLessThan'  [147, 4]      (w:1, o:167, a:1
% 2.63/3.08    , s:1, b:0), 
% 2.63/3.08  'c_SetInterval_Oord_OgreaterThanAtMost'  [148, 5]      (w:1, o:172, a:1, s:
% 2.63/3.08    1, b:0), 
% 2.63/3.08  'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'  [149, 5]      (w:1, o:
% 11.66/12.03    174, a:1, s:1, b:0), 
% 11.66/12.03  'c_FuncSet_Oextensional'  [150, 3]      (w:1, o:150, a:1, s:1, b:0), 
% 11.66/12.03  'class_Ring__and__Field_Oordered__idom'  [151, 1]      (w:1, o:98, a:1, s:1
% 11.66/12.03    , b:0), 
% 11.66/12.03  'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'  [152, 5]      (w:1
% 11.66/12.03    , o:178, a:1, s:1, b:0), 
% 11.66/12.03  'c_ATP__Linkup_Osko__Set__XbexI__1__1'  [153, 3]      (w:1, o:151, a:1, s:1
% 11.66/12.03    , b:0), 
% 11.66/12.03  'c_ATP__Linkup_Osko__Set__XbexE__1__1'  [154, 3]      (w:1, o:152, a:1, s:1
% 11.66/12.03    , b:0), 
% 11.66/12.03  'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'  [157, 
% 11.66/12.03    4]      (w:1, o:168, a:1, s:1, b:0), 
% 11.66/12.03  'c_ATP__Linkup_Osko__Set__XballE__1__1'  [159, 3]      (w:1, o:153, a:1, s:
% 11.66/12.03    1, b:0), 
% 11.66/12.03  'c_SetInterval_Oord_OatMost'  [160, 3]      (w:1, o:154, a:1, s:1, b:0), 
% 11.66/12.03  'c_SetInterval_Oord_OgreaterThan'  [163, 3]      (w:1, o:155, a:1, s:1, b:0
% 11.66/12.03    ), 
% 11.66/12.03  'c_SetInterval_Oord_OlessThan'  [164, 3]      (w:1, o:156, a:1, s:1, b:0), 
% 11.66/12.03    
% 11.66/12.03  'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'  [165, 3]      (w:1, o:145, a:1
% 11.66/12.03    , s:1, b:0), 
% 11.66/12.03  'c_FuncSet_Osko__FuncSet__XPi__I__1__1'  [166, 5]      (w:1, o:179, a:1, s:
% 11.66/12.03    1, b:0), 
% 11.66/12.03  'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'  [167, 5]      (w:1, o:180, a:1
% 11.66/12.03    , s:1, b:0), 
% 11.66/12.03  'c_HOL_Oundefined'  [168, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 11.66/12.03  'c_Arrow__Order__Mirabelle_OIIA'  [169, 1]      (w:1, o:100, a:1, s:1, b:0)
% 11.66/12.03    , 
% 11.66/12.03  'tc_Arrow__Order__Mirabelle_Oindi'  [170, 0]      (w:1, o:61, a:1, s:1, b:0
% 11.66/12.03    ), 
% 11.66/12.03  'tc_Arrow__Order__Mirabelle_Oalt'  [171, 0]      (w:1, o:62, a:1, s:1, b:0)
% 11.66/12.03    , 
% 11.66/12.03  'tc_prod'  [172, 2]      (w:1, o:139, a:1, s:1, b:0), 
% 11.66/12.03  'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'  [173, 1]      (w:1, o:101
% 11.66/12.03    , a:1, s:1, b:0), 
% 11.66/12.03  'c_Arrow__Order__Mirabelle_OProf'  [174, 0]      (w:1, o:63, a:1, s:1, b:0)
% 11.66/12.03    , 
% 11.66/12.03  'c_Arrow__Order__Mirabelle_Ounanimity'  [175, 1]      (w:1, o:102, a:1, s:1
% 11.66/12.03    , b:0), 
% 11.66/12.03  'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'  [176, 1]      (w:1
% 11.66/12.03    , o:103, a:1, s:1, b:0), 
% 11.66/12.03  'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'  [177, 1]      (w:1, o:104
% 11.66/12.03    , a:1, s:1, b:0), 
% 11.66/12.03  'v_P____'  [178, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 11.66/12.03  'v_Q____'  [179, 0]      (w:1, o:65, a:1, s:1, b:0).
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Starting Search:
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    8366
% 11.66/12.03  Kept:         2009
% 11.66/12.03  Inuse:        208
% 11.66/12.03  Deleted:      3
% 11.66/12.03  Deletedinuse: 0
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    18755
% 11.66/12.03  Kept:         4357
% 11.66/12.03  Inuse:        279
% 11.66/12.03  Deleted:      19
% 11.66/12.03  Deletedinuse: 2
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    28203
% 11.66/12.03  Kept:         6373
% 11.66/12.03  Inuse:        341
% 11.66/12.03  Deleted:      21
% 11.66/12.03  Deletedinuse: 2
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    40497
% 11.66/12.03  Kept:         8379
% 11.66/12.03  Inuse:        427
% 11.66/12.03  Deleted:      32
% 11.66/12.03  Deletedinuse: 12
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    52176
% 11.66/12.03  Kept:         11101
% 11.66/12.03  Inuse:        491
% 11.66/12.03  Deleted:      129
% 11.66/12.03  Deletedinuse: 109
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    60758
% 11.66/12.03  Kept:         13187
% 11.66/12.03  Inuse:        516
% 11.66/12.03  Deleted:      129
% 11.66/12.03  Deletedinuse: 109
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    71016
% 11.66/12.03  Kept:         15264
% 11.66/12.03  Inuse:        582
% 11.66/12.03  Deleted:      133
% 11.66/12.03  Deletedinuse: 109
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    80411
% 11.66/12.03  Kept:         17314
% 11.66/12.03  Inuse:        631
% 11.66/12.03  Deleted:      141
% 11.66/12.03  Deletedinuse: 111
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    92545
% 11.66/12.03  Kept:         19349
% 11.66/12.03  Inuse:        666
% 11.66/12.03  Deleted:      141
% 11.66/12.03  Deletedinuse: 111
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying clauses:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    104779
% 11.66/12.03  Kept:         21385
% 11.66/12.03  Inuse:        710
% 11.66/12.03  Deleted:      2529
% 11.66/12.03  Deletedinuse: 111
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    115160
% 11.66/12.03  Kept:         23675
% 11.66/12.03  Inuse:        719
% 11.66/12.03  Deleted:      2529
% 11.66/12.03  Deletedinuse: 111
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  Resimplifying inuse:
% 11.66/12.03  Done
% 11.66/12.03  
% 11.66/12.03  
% 11.66/12.03  Intermediate Status:
% 11.66/12.03  Generated:    125135
% 32.47/32.89  Kept:         25692
% 32.47/32.89  Inuse:        776
% 32.47/32.89  Deleted:      2529
% 32.47/32.89  Deletedinuse: 111
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    137164
% 32.47/32.89  Kept:         27729
% 32.47/32.89  Inuse:        800
% 32.47/32.89  Deleted:      2587
% 32.47/32.89  Deletedinuse: 114
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    147761
% 32.47/32.89  Kept:         30345
% 32.47/32.89  Inuse:        804
% 32.47/32.89  Deleted:      2603
% 32.47/32.89  Deletedinuse: 114
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    157081
% 32.47/32.89  Kept:         32441
% 32.47/32.89  Inuse:        834
% 32.47/32.89  Deleted:      2603
% 32.47/32.89  Deletedinuse: 114
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    169360
% 32.47/32.89  Kept:         34538
% 32.47/32.89  Inuse:        885
% 32.47/32.89  Deleted:      2613
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    182214
% 32.47/32.89  Kept:         36674
% 32.47/32.89  Inuse:        926
% 32.47/32.89  Deleted:      2617
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    196904
% 32.47/32.89  Kept:         39196
% 32.47/32.89  Inuse:        956
% 32.47/32.89  Deleted:      2617
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying clauses:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    211740
% 32.47/32.89  Kept:         41489
% 32.47/32.89  Inuse:        981
% 32.47/32.89  Deleted:      3268
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    227056
% 32.47/32.89  Kept:         43572
% 32.47/32.89  Inuse:        1016
% 32.47/32.89  Deleted:      3268
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    255894
% 32.47/32.89  Kept:         47526
% 32.47/32.89  Inuse:        1051
% 32.47/32.89  Deleted:      3268
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    271765
% 32.47/32.89  Kept:         49545
% 32.47/32.89  Inuse:        1096
% 32.47/32.89  Deleted:      3268
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    292295
% 32.47/32.89  Kept:         51915
% 32.47/32.89  Inuse:        1121
% 32.47/32.89  Deleted:      3268
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    300913
% 32.47/32.89  Kept:         53917
% 32.47/32.89  Inuse:        1149
% 32.47/32.89  Deleted:      3268
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    311823
% 32.47/32.89  Kept:         56131
% 32.47/32.89  Inuse:        1166
% 32.47/32.89  Deleted:      3268
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    320376
% 32.47/32.89  Kept:         58132
% 32.47/32.89  Inuse:        1177
% 32.47/32.89  Deleted:      3268
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    330407
% 32.47/32.89  Kept:         60460
% 32.47/32.89  Inuse:        1196
% 32.47/32.89  Deleted:      3268
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying clauses:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    339418
% 32.47/32.89  Kept:         62491
% 32.47/32.89  Inuse:        1211
% 32.47/32.89  Deleted:      3390
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    357022
% 32.47/32.89  Kept:         65461
% 32.47/32.89  Inuse:        1231
% 32.47/32.89  Deleted:      3390
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    386101
% 32.47/32.89  Kept:         69643
% 32.47/32.89  Inuse:        1276
% 32.47/32.89  Deleted:      3390
% 32.47/32.89  Deletedinuse: 115
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    397460
% 32.47/32.89  Kept:         71878
% 32.47/32.89  Inuse:        1307
% 32.47/32.89  Deleted:      3406
% 32.47/32.89  Deletedinuse: 117
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    413491
% 32.47/32.89  Kept:         75059
% 32.47/32.89  Inuse:        1314
% 32.47/32.89  Deleted:      3415
% 32.47/32.89  Deletedinuse: 118
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    424684
% 32.47/32.89  Kept:         77605
% 32.47/32.89  Inuse:        1323
% 32.47/32.89  Deleted:      3432
% 32.47/32.89  Deletedinuse: 119
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    431976
% 32.47/32.89  Kept:         79665
% 32.47/32.89  Inuse:        1340
% 32.47/32.89  Deleted:      3456
% 32.47/32.89  Deletedinuse: 120
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    439388
% 32.47/32.89  Kept:         82227
% 32.47/32.89  Inuse:        1352
% 32.47/32.89  Deleted:      3484
% 32.47/32.89  Deletedinuse: 120
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying clauses:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  Resimplifying inuse:
% 32.47/32.89  Done
% 32.47/32.89  
% 32.47/32.89  
% 32.47/32.89  Intermediate Status:
% 32.47/32.89  Generated:    448987
% 116.62/117.05  Kept:         84303
% 116.62/117.05  Inuse:        1372
% 116.62/117.05  Deleted:      3909
% 116.62/117.05  Deletedinuse: 120
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    470696
% 116.62/117.05  Kept:         88732
% 116.62/117.05  Inuse:        1392
% 116.62/117.05  Deleted:      3909
% 116.62/117.05  Deletedinuse: 120
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    486590
% 116.62/117.05  Kept:         90826
% 116.62/117.05  Inuse:        1427
% 116.62/117.05  Deleted:      3909
% 116.62/117.05  Deletedinuse: 120
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    511796
% 116.62/117.05  Kept:         94268
% 116.62/117.05  Inuse:        1437
% 116.62/117.05  Deleted:      3909
% 116.62/117.05  Deletedinuse: 120
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    524428
% 116.62/117.05  Kept:         96468
% 116.62/117.05  Inuse:        1452
% 116.62/117.05  Deleted:      3909
% 116.62/117.05  Deletedinuse: 120
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    540158
% 116.62/117.05  Kept:         99000
% 116.62/117.05  Inuse:        1487
% 116.62/117.05  Deleted:      3909
% 116.62/117.05  Deletedinuse: 120
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    567078
% 116.62/117.05  Kept:         102603
% 116.62/117.05  Inuse:        1497
% 116.62/117.05  Deleted:      3909
% 116.62/117.05  Deletedinuse: 120
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying clauses:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    600721
% 116.62/117.05  Kept:         106034
% 116.62/117.05  Inuse:        1507
% 116.62/117.05  Deleted:      4006
% 116.62/117.05  Deletedinuse: 120
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    636983
% 116.62/117.05  Kept:         109640
% 116.62/117.05  Inuse:        1522
% 116.62/117.05  Deleted:      4006
% 116.62/117.05  Deletedinuse: 120
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    658523
% 116.62/117.05  Kept:         111827
% 116.62/117.05  Inuse:        1537
% 116.62/117.05  Deleted:      4009
% 116.62/117.05  Deletedinuse: 123
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    666470
% 116.62/117.05  Kept:         114258
% 116.62/117.05  Inuse:        1552
% 116.62/117.05  Deleted:      4009
% 116.62/117.05  Deletedinuse: 123
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    676848
% 116.62/117.05  Kept:         116655
% 116.62/117.05  Inuse:        1562
% 116.62/117.05  Deleted:      4009
% 116.62/117.05  Deletedinuse: 123
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    690300
% 116.62/117.05  Kept:         118719
% 116.62/117.05  Inuse:        1591
% 116.62/117.05  Deleted:      4010
% 116.62/117.05  Deletedinuse: 123
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    703170
% 116.62/117.05  Kept:         121157
% 116.62/117.05  Inuse:        1606
% 116.62/117.05  Deleted:      4010
% 116.62/117.05  Deletedinuse: 123
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    712755
% 116.62/117.05  Kept:         123416
% 116.62/117.05  Inuse:        1611
% 116.62/117.05  Deleted:      4011
% 116.62/117.05  Deletedinuse: 124
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying clauses:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    723026
% 116.62/117.05  Kept:         125767
% 116.62/117.05  Inuse:        1616
% 116.62/117.05  Deleted:      4485
% 116.62/117.05  Deletedinuse: 124
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    743594
% 116.62/117.05  Kept:         128011
% 116.62/117.05  Inuse:        1644
% 116.62/117.05  Deleted:      4489
% 116.62/117.05  Deletedinuse: 126
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    755092
% 116.62/117.05  Kept:         130280
% 116.62/117.05  Inuse:        1663
% 116.62/117.05  Deleted:      4490
% 116.62/117.05  Deletedinuse: 126
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    781131
% 116.62/117.05  Kept:         132539
% 116.62/117.05  Inuse:        1716
% 116.62/117.05  Deleted:      4584
% 116.62/117.05  Deletedinuse: 126
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    853194
% 116.62/117.05  Kept:         134591
% 116.62/117.05  Inuse:        1851
% 116.62/117.05  Deleted:      4773
% 116.62/117.05  Deletedinuse: 216
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    871250
% 116.62/117.05  Kept:         139656
% 116.62/117.05  Inuse:        1859
% 116.62/117.05  Deleted:      4777
% 116.62/117.05  Deletedinuse: 219
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    885941
% 116.62/117.05  Kept:         141711
% 116.62/117.05  Inuse:        1906
% 116.62/117.05  Deleted:      4792
% 116.62/117.05  Deletedinuse: 219
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying clauses:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    952363
% 116.62/117.05  Kept:         143717
% 116.62/117.05  Inuse:        1979
% 116.62/117.05  Deleted:      39963
% 116.62/117.05  Deletedinuse: 311
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    980878
% 116.62/117.05  Kept:         146912
% 116.62/117.05  Inuse:        2019
% 116.62/117.05  Deleted:      39963
% 116.62/117.05  Deletedinuse: 311
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  Resimplifying inuse:
% 116.62/117.05  Done
% 116.62/117.05  
% 116.62/117.05  
% 116.62/117.05  Intermediate Status:
% 116.62/117.05  Generated:    1006331
% 116.62/117.05  Kept:         148917
% 116.62/117.05  Inuse:        2075
% 116.62/117.05  DeletCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------