%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SCT018-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n003.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 21:00:34 EDT 2022

% Result   : Timeout 300.02s 300.48s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SCT018-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Sat Jul  2 01:37:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.84/1.21  *** allocated 10000 integers for termspace/termends
% 0.84/1.21  *** allocated 10000 integers for clauses
% 0.84/1.21  *** allocated 10000 integers for justifications
% 0.84/1.21  *** allocated 15000 integers for termspace/termends
% 0.84/1.21  Bliksem 1.12
% 0.84/1.21  
% 0.84/1.21  
% 0.84/1.21  Automatic Strategy Selection
% 0.84/1.21  
% 0.84/1.21  Clauses:
% 0.84/1.21  [
% 0.84/1.21     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.84/1.21    ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y, 
% 0.84/1.21    'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.84/1.21     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.84/1.21     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.84/1.21     ), Y ) ) ],
% 0.84/1.21     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.84/1.21     ), Y ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.84/1.21     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.84/1.21     ), Y ) ) ],
% 0.84/1.21     [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.84/1.21    'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.84/1.21    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.84/1.21     ) ), Z, X ) ) ],
% 0.84/1.21     [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.84/1.21    X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.84/1.21    'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.84/1.21    'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.84/1.21     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.84/1.21     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.84/1.21    'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    X, X ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.84/1.21    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.84/1.21     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.84/1.21    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.84/1.21    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.84/1.21     [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.84/1.21    'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.84/1.21    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.84/1.21    'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ), 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ), 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.84/1.21     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.84/1.21    , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.84/1.21     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.84/1.21     [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.84/1.21    , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( X ), Y, X ), 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.84/1.21    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.84/1.21     ) ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.84/1.21    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.84/1.21     ) ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.84/1.21    'tc_bool' ) ), X ) ],
% 0.84/1.21     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.84/1.21     ) ), Y ) ) ) ],
% 0.84/1.21     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.84/1.21    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.84/1.21    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.84/1.21    'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.84/1.21     [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.84/1.21    'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.84/1.21    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.84/1.21     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.84/1.21    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.84/1.21     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.84/1.21    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.84/1.21     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.84/1.21    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.84/1.21     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.84/1.21    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.84/1.21    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.84/1.21     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.84/1.21    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.84/1.21     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.84/1.21    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.84/1.21    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.84/1.21     ), 'tc_bool' ) ), X ) ],
% 0.84/1.21     [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.84/1.21    'tc_bool' ) ), Y, X ) ],
% 0.84/1.21     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.84/1.21     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.84/1.21    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.84/1.21    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.84/1.21    Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.84/1.21    'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.84/1.21     ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'( 
% 0.84/1.21    'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.84/1.21     ],
% 0.84/1.21     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.84/1.21    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 0.84/1.21    'c_in'( U, T, Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.84/1.21     ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.84/1.21     ), =( X, Y ), ~( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( T, U, Z ), 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X, 
% 0.84/1.21    'c_Equiv__Relations_Oquotient'( T, U, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 
% 0.84/1.21    ~( 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Relation_OImage'( U, 'c_Set_Oinsert'( X, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ), 
% 0.84/1.21    T ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ), 
% 0.84/1.21    U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.84/1.21     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.84/1.21    'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.84/1.21     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.84/1.21    'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Equiv__Relations_Oquotient'( T, X, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.84/1.21    ~( 'c_in'( Y, T, Z ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.84/1.21    'c_lessequals'( Z, T, X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.84/1.21    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    Z, T, X ), X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.84/1.21    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    T, Z, X ), X ) ) ],
% 0.84/1.21     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.84/1.21    Y, X ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_ORange'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z, 
% 0.84/1.21    T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.84/1.21    T, 'tc_bool' ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ), Y ) ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ), Y ) ) ) ],
% 0.84/1.21     [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U, 
% 0.84/1.21    'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U, 
% 0.84/1.21    Z, T ), T ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.84/1.21    , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( 
% 0.84/1.21    Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.84/1.21     ) ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 0.84/1.21     ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.84/1.21    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.84/1.21    , T ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.84/1.21    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.84/1.21    , T ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.84/1.21    , Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), Z ) ) ],
% 0.84/1.21     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.84/1.21    'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.84/1.21     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.84/1.21     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.84/1.21    , U ), U ) ],
% 0.84/1.21     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.84/1.21    , U ), U ) ],
% 0.84/1.21     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.84/1.21    , Z, T ) ) ],
% 0.84/1.21     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.84/1.21    , Z, T ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, 
% 0.84/1.21    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ), 
% 0.84/1.21    T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.84/1.21    , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ), 
% 0.84/1.21    'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_lessequals'( hAPP( Y, 
% 0.84/1.21    'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.84/1.21     ), hAPP( W, 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, 
% 0.84/1.21    Y, W, Z, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.84/1.21    'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.84/1.21    'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.84/1.21     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.84/1.21     ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T, 
% 0.84/1.21    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, 
% 0.84/1.21    Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y, 
% 0.84/1.21    U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Relation_OImage'( T, 'c_Set_Oinsert'( X, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.84/1.21     ],
% 0.84/1.21     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.84/1.21     ), ~( 'c_in'( T, 'c_Relation_OField'( X, Z ), Z ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Relation_OField'( X, Z ), Z ) ), ~( 'c_Relation_Oantisym'( X, Z ) ), 
% 0.84/1.21    ~( 'c_Relation_Orefl__on'( 'c_Relation_OField'( X, Z ), X, Z ) ), =( Y, T
% 0.84/1.21     ) ],
% 0.84/1.21     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.84/1.21     ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.84/1.21     ) ) ), ~( 'c_in'( 'c_Pair'( Z, Z, Y, Y ), 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( X, Y ), ~( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2'( Z, T, X, 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1'( Z, T, X, Y ), Y ) ), ~( 
% 0.84/1.21    'c_lessequals'( X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( T, 'tc_fun'( Y
% 0.84/1.21    , 'tc_bool' ), Y ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) )
% 0.84/1.21     ],
% 0.84/1.21     [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ), 
% 0.84/1.21    'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 
% 0.84/1.21    T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z
% 0.84/1.21    , Y ) ) ],
% 0.84/1.21     [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ), 
% 0.84/1.21    'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.84/1.21     ), ~( 'c_in'( T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~( 
% 0.84/1.21    'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), 'c_in'( 'c_Pair'( X, T, Y, Y )
% 0.84/1.21    , Z, 'tc_prod'( Y, Y ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 
% 0.84/1.21    'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.84/1.21     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.84/1.21     ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 
% 0.84/1.21    'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.84/1.21    , X, 'tc_prod'( Z, Z ) ) ],
% 0.84/1.21     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.84/1.21     ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.84/1.21    , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.84/1.21     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.84/1.21     ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, 
% 0.84/1.21    Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, 
% 0.84/1.21    Z ) ) ],
% 0.84/1.21     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.84/1.21    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.84/1.21    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.84/1.21    T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.84/1.21    , Z ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.84/1.21    'c_lessequals'( Y, T, X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.84/1.21    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    T, Z, X ), X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.84/1.21    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    Z, T, X ), X ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.84/1.21    , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.84/1.21    , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.84/1.21    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.84/1.21    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.84/1.21     [ =( 'c_Relation_Oconverse'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X, 
% 0.84/1.21    Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ), 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.84/1.21    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.84/1.21    , Z ) ],
% 0.84/1.21     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.84/1.21     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.84/1.21    , T ) ],
% 0.84/1.21     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ), 
% 0.84/1.21    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.84/1.21     ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.84/1.21     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.84/1.21    , T ) ],
% 0.84/1.21     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.84/1.21    'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Relation_OField'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), 
% 0.84/1.21    'c_Relation_OField'( X, Y ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 0.84/1.21    'c_lessequals'( Z, Y, X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 0.84/1.21    'c_lessequals'( Y, Z, X ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 0.84/1.21    'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.84/1.21     ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.84/1.21     ],
% 0.84/1.21     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.84/1.21    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.84/1.21     [ 'c_in'( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), X, Z
% 0.84/1.21     ), ~( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ],
% 0.84/1.21     [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP( 
% 0.84/1.21    'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~( 
% 0.84/1.21    'c_in'( W, 'c_Set_Oimage'( Y, X, Z, T ), T ) ), ~( 'c_in'( U, 
% 0.84/1.21    'c_Set_Oimage'( Y, X, Z, T ), T ) ) ],
% 0.84/1.21     [ =( 'c_Product__Type_OSigma'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.84/1.21    , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 
% 0.84/1.21    'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( 
% 0.84/1.21    Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.84/1.21    , U ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.84/1.21    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.84/1.21     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.84/1.21    , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.84/1.21    'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.84/1.21     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.84/1.21    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.84/1.21    X, T ), Y ) ) ) ],
% 0.84/1.21     [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U, 
% 0.84/1.21    'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.84/1.21    , Z, T ), Z ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_ODomain'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.84/1.21    , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.84/1.21    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.84/1.21    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Set_Oimage'( X, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 
% 0.84/1.21    'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_OImage'( X, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.84/1.21    'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.84/1.21     [ =( 'c_Product__Type_OSigma'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.84/1.21    , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.84/1.21    'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.84/1.21    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.84/1.21    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.84/1.21    'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.84/1.21     [ =( 'c_Set_Oimage'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, Z, T ), 
% 0.84/1.21    'c_Set_Oimage'( X, Y, Z, T ) ) ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 
% 0.84/1.21    'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~( 
% 0.84/1.21    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.84/1.21     [ =( 'c_Set_Oimage'( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), X, T, W )
% 0.84/1.21    , 'c_Set_Oimage'( Y, 'c_Set_Oimage'( Z, X, T, U ), U, W ) ) ],
% 0.84/1.21     [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 0.84/1.21    , U ), ~( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.84/1.21    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.84/1.21    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.84/1.21     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.84/1.21    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.84/1.21    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.84/1.21    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.84/1.21    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.84/1.21    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.84/1.21    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.84/1.21    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.84/1.21    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.84/1.21    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.84/1.21    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.84/1.21     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.84/1.21    , T, Z ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_OField'( X, Y ), 'c_Relation_OField'( Z, Y
% 0.84/1.21     ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Set_Oimage'( X, Y, Z, T ), U ), ~( 'c_Fun_Obij__betw'( X, Y, U, 
% 0.84/1.21    Z, T ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.84/1.21    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.84/1.21    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.84/1.21    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.84/1.21    'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.84/1.21     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.84/1.21     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.84/1.21    'tc_bool' ) ), X ) ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.84/1.21    , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.84/1.21    , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.84/1.21    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.84/1.21    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.84/1.21    hAPP( X, T ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.84/1.21    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.84/1.21    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.84/1.21    'tc_bool' ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.84/1.21    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 
% 0.84/1.21    'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ), 
% 0.84/1.21    ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.84/1.21    'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ), 
% 0.84/1.21    'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.84/1.21    , T ), T ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.84/1.21    , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y, 
% 0.84/1.21    'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.84/1.21     ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.84/1.21    'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), 
% 0.84/1.21    'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ), 
% 0.84/1.21    'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.84/1.21    , T ), T ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.84/1.21    'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.84/1.21     ) ), Y ) ],
% 0.84/1.21     [ 'c_in'( 'c_Arrow__Order__Mirabelle_Obelow'( X, Y, Z ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.84/1.21     [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ), 
% 0.84/1.21    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y, 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.84/1.21    , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.84/1.21     ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.84/1.21    , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.84/1.21     ), U ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.84/1.21    'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T, 
% 0.84/1.21    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, 
% 0.84/1.21    't_a' ), 't_a' ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z, 
% 0.84/1.21    Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ), 
% 0.84/1.21    't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( 
% 0.84/1.21    X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.84/1.21    'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T, 
% 0.84/1.21    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, 
% 0.84/1.21    't_a' ), 't_a' ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ), 
% 0.84/1.21    't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( 
% 0.84/1.21    X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.84/1.21    , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.84/1.21    , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 
% 0.84/1.21    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T, 
% 0.84/1.21    'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 
% 0.84/1.21    'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.84/1.21    , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X, 
% 0.84/1.21    'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.84/1.21    , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X, 
% 0.84/1.21    'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, 
% 0.84/1.21    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.84/1.21    , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ), 
% 0.84/1.21    ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.84/1.21     ), 'tc_prod'( T, T ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ), 
% 0.84/1.21    Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, 
% 0.84/1.21    T ), 'tc_prod'( T, T ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ), 
% 0.84/1.21    'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 
% 0.84/1.21    'tc_bool' ) ), 'c_in'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.84/1.21    , X, Z ), ~( 'c_lessequals'( X, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), 'c_in'( 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_in'( X, 'c_FuncSet_OPi'( Y, 'c_COMBK'( U, 'tc_fun'( 
% 0.84/1.21    T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( Z, T ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 0.84/1.21    'c_Product__Type_OSigma'( 'c_Relation_OField'( X, Y ), 'c_COMBK'( 
% 0.84/1.21    'c_Relation_OField'( X, Y ), 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 
% 0.84/1.21    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), 'c_FuncSet_OPi'( Y, U, Z
% 0.84/1.21    , T ), 'tc_fun'( Z, T ) ), 'c_in'( 
% 0.84/1.21    'c_FuncSet_Osko__FuncSet__XrestrictI__1__1'( Y, U, X, Z, T ), Y, Z ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_in'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), 'c_FuncSet_OPi'( Y, U, Z
% 0.84/1.21    , T ), 'tc_fun'( Z, T ) ), ~( 'c_in'( hAPP( X, 
% 0.84/1.21    'c_FuncSet_Osko__FuncSet__XrestrictI__1__1'( Y, U, X, Z, T ) ), hAPP( U, 
% 0.84/1.21    'c_FuncSet_Osko__FuncSet__XrestrictI__1__1'( Y, U, X, Z, T ) ), T ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, X ), 'c_in'( 
% 0.84/1.21    'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, T, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, Y ), 'c_in'( 
% 0.84/1.21    'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, T, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), ~( 'c_in'( 'c_Pair'( 
% 0.84/1.21    X, U, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, Y ), ~( 'c_in'( 
% 0.84/1.21    Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( T, U ) ],
% 0.84/1.21     [ =( X, Y ), =( Y, X ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 
% 0.84/1.21    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, X ), 'c_in'( 
% 0.84/1.21    'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Y, Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( Z, T ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( Y, T ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.84/1.21    , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, X ), 'c_in'( 
% 0.84/1.21    'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, T, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ =( X, Y ), =( Z, X ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OLin', 
% 0.84/1.21    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, X ), 'c_in'( 
% 0.84/1.21    'c_Pair'( Z, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    T, Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( Z, X, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), T
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , =( X, T ), =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_Obelow'( Z, T, U ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( T, U ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_Obelow'( Z, Y, T ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( Y, T ), 'c_in'( 'c_Pair'( T, X, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( X, T ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z, 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( Y, T ), 'c_in'( 'c_Pair'( X, T, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, U, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), ~( 'c_in'( Z, 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( T, U ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'( 
% 0.84/1.21    'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, Y ), 'c_in'( 
% 0.84/1.21    'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, T, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'( 
% 0.84/1.21    Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ), =( X, Y )
% 0.84/1.21    , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( T, U ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.84/1.21    'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.84/1.21    , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.84/1.21     ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    Y, Y ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_FuncSet_Ocompose'( 'c_Set_Oimage'( X, Y, Z, T ), X, 
% 0.84/1.21    'c_FuncSet_Orestrict'( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), 
% 0.84/1.21    'c_Set_Oimage'( X, Y, Z, T ), T, Z ), T, Z, T ), 'c_FuncSet_Orestrict'( 
% 0.84/1.21    'c_COMBI'( T ), 'c_Set_Oimage'( X, Y, Z, T ), T, T ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( X, Y ), 'c_in'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1'( Z, T, X, Y ), T, Y ), ~( 
% 0.84/1.21    'c_lessequals'( X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( T, 'tc_fun'( Y
% 0.84/1.21    , 'tc_bool' ), Y ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( X, Y ), 'c_in'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1'( Z, T, X, Y ), Z, Y ), ~( 
% 0.84/1.21    'c_lessequals'( X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( T, 'tc_fun'( Y
% 0.84/1.21    , 'tc_bool' ), Y ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( X, Y, Z ), 'c_in'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1'( X, Y, Z ), X, Z ), 
% 0.84/1.21    ~( 'c_lessequals'( Y, 'c_Product__Type_OSigma'( X, 'c_COMBK'( X, 'tc_fun'( 
% 0.84/1.21    Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( X, Y, Z ), 'c_in'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1'( X, Y, Z ), X, Z ), ~( 
% 0.84/1.21    'c_lessequals'( Y, 'c_Product__Type_OSigma'( X, 'c_COMBK'( X, 'tc_fun'( Z
% 0.84/1.21    , 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_in'( X, 
% 0.84/1.21    'c_Equiv__Relations_Oquotient'( Z, T, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.84/1.21    ~( 'c_lessequals'( T, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( 
% 0.84/1.21    Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) )
% 0.84/1.21    , ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_FuncSet_Orestrict'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z
% 0.84/1.21    , T ), 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), 'c_FuncSet_OPi'( 
% 0.84/1.21    'c_Set_Oimage'( Y, X, Z, T ), 'c_COMBK'( X, 'tc_fun'( Z, 'tc_bool' ), T )
% 0.84/1.21    , T, Z ), 'tc_fun'( T, Z ) ) ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1'( X, Y, Z ), 
% 0.84/1.21    'c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1'( X, Y, Z ), Z, Z ), Y, 
% 0.84/1.21    'tc_prod'( Z, Z ) ) ), ~( 'c_lessequals'( Y, 'c_Product__Type_OSigma'( X
% 0.84/1.21    , 'c_COMBK'( X, 'tc_fun'( Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( 
% 0.84/1.21    'c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1'( X, Y, Z ), 
% 0.84/1.21    'c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1'( X, Y, Z ), Z, Z ), 
% 0.84/1.21    Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_lessequals'( Y, 'c_Product__Type_OSigma'( 
% 0.84/1.21    X, 'c_COMBK'( X, 'tc_fun'( Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_Oabove'( Z, T, Y ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( T, Y ), 'c_in'( 'c_Pair'( X, T, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( X, T ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, T, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z, 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( T, X ), 'c_in'( 'c_Pair'( T, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, T, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), ~( 'c_in'( Z, 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( T, U ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'( 
% 0.84/1.21    'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, T ), 'c_in'( 
% 0.84/1.21    'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, U ), =( X, U ), =( X, Y )
% 0.84/1.21    , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( T, U ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, T ), 'c_in'( 
% 0.84/1.21    'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, T ), 'c_in'( 
% 0.84/1.21    'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, U ), ~( 'c_in'( 'c_Pair'( 
% 0.84/1.21    T, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, T, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, U ), =( X, Y ), ~( 'c_in'( 
% 0.84/1.21    Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( T, U ) ],
% 0.84/1.21     [ =( X, Y ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 
% 0.84/1.21    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'( 
% 0.84/1.21    'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'( 
% 0.84/1.21    X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.84/1.21    , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 
% 0.84/1.21    'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( 
% 0.84/1.21    Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), 
% 0.84/1.21    ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.84/1.21    'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.84/1.21    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.84/1.21    Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.84/1.21    , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~( 
% 0.84/1.21    'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'( 
% 0.84/1.21    T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( 
% 0.84/1.21    Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), 
% 0.84/1.21    ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 0.84/1.21    'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.84/1.21    , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.84/1.21    X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.84/1.21     ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.84/1.21     [ 'c_in'( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), 
% 0.84/1.21    'c_FuncSet_Oextensional'( X, T, W ), 'tc_fun'( T, W ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), 'c_FuncSet_Oextensional'( 
% 0.84/1.21    Y, Z, T ), 'tc_fun'( Z, T ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.84/1.21     ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.84/1.21    , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.84/1.21     ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T, 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 
% 0.84/1.21    'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    Z, T ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.84/1.21    , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ), 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.84/1.21    'c_in'( W, Y, Z ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.84/1.21    'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.84/1.21    , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 
% 0.84/1.21    'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ), 
% 0.84/1.21    ~( 'c_in'( W, T, U ) ) ],
% 0.84/1.21     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.84/1.21    'c_lessequals'( Z, Y, X ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'( 
% 0.84/1.21    U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'( 
% 0.84/1.21    T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.84/1.21     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.84/1.21     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~( 
% 0.84/1.21    'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.84/1.21    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.84/1.21    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.84/1.21     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.84/1.21     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.84/1.21    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.84/1.21     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.84/1.21    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.84/1.21    , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.84/1.21    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.84/1.21     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.84/1.21    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.21     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.84/1.21    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.84/1.21    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.84/1.21    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.84/1.21    'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ), 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ), 
% 0.84/1.21    'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ), 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X, 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.84/1.21    'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_Fun_Obij__betw'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, X
% 0.84/1.21    , T, Z ), ~( 'c_Fun_Obij__betw'( Y, X, U, Z, T ) ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.84/1.21    , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 
% 0.84/1.21    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.84/1.21    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.84/1.21     ), ~( 'c_in'( X, T, Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , =( Y, T ), =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( U, T ) ],
% 0.84/1.21     [ =( X, Y ), =( X, Z ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OLin', 
% 0.84/1.21    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'( 
% 0.84/1.21    'c_Pair'( X, Z, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    T, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Z, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), T
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, T ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.84/1.21    , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, T ), 'c_in'( 
% 0.84/1.21    'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.84/1.21    Y, Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), =( Z, T ) ],
% 0.84/1.21     [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.84/1.21    , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 
% 0.84/1.21    'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.84/1.21     [ =( 'c_FuncSet_Ocompose'( X, 'c_FuncSet_Orestrict'( 
% 0.84/1.21    'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T, Z ), Y, Z, T, Z ), 
% 0.84/1.21    'c_FuncSet_Orestrict'( 'c_COMBI'( Z ), X, Z, Z ) ), ~( 'c_Fun_Obij__betw'( 
% 0.84/1.21    Y, X, U, Z, T ) ) ],
% 0.84/1.21     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, Y, Z ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 
% 0.84/1.21    ~( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, W, Z ) ), 'c_in'( 
% 0.84/1.21    'c_Pair'( T, X, Z, Z ), W, 'tc_prod'( Z, Z ) ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, T, U, U ), W, 'tc_prod'( U, U ) ) )
% 0.84/1.21    , ~( 'c_in'( T, Y, U ) ), ~( 'c_in'( Z, X, U ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.84/1.21    , ~( 'c_in'( X, 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U, 
% 0.84/1.21    'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( V0, W, U ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U, 
% 0.84/1.21    'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.84/1.21    , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ), 
% 0.84/1.21    'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ =( 'c_FuncSet_Ocompose'( X, 'c_FuncSet_Orestrict'( 'c_COMBI'( Y ), Z, 
% 0.84/1.21    Y, Y ), T, U, Y, Y ), T ), ~( 'c_in'( T, 'c_FuncSet_Oextensional'( X, U, 
% 0.84/1.21    Y ), 'tc_fun'( U, Y ) ) ), ~( 'c_in'( T, 'c_FuncSet_OPi'( X, 'c_COMBK'( Z
% 0.84/1.21    , 'tc_fun'( Y, 'tc_bool' ), U ), U, Y ), 'tc_fun'( U, Y ) ) ) ],
% 0.84/1.21     [ =( 'c_FuncSet_Ocompose'( X, Y, 'c_FuncSet_Orestrict'( 'c_COMBI'( Z ), 
% 0.84/1.21    X, Z, Z ), Z, Z, T ), Y ), ~( 'c_in'( Y, 'c_FuncSet_Oextensional'( X, Z, 
% 0.84/1.21    T ), 'tc_fun'( Z, T ) ) ), ~( 'c_in'( Y, 'c_FuncSet_OPi'( X, 'c_COMBK'( U
% 0.84/1.21    , 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( Z, T ) ) ) ],
% 0.84/1.21     [ ~( =( hAPP( X, 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X
% 0.84/1.21    , Y ) ), hAPP( 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y
% 0.84/1.21     ), Y ) ) ), 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 0.84/1.21    X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X, 
% 0.84/1.21    X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X, 
% 0.84/1.21    T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.84/1.21     ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T, 
% 0.84/1.21    'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.84/1.21     ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.84/1.21     ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.84/1.21    'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.84/1.21    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( 
% 0.84/1.21    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 0.84/1.21    'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.84/1.21    , 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.84/1.21    'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.84/1.21    'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 0.84/1.21    'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'( 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~( 
% 0.84/1.21    'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.84/1.21    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.84/1.21    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'( 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ =( hAPP( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), V0 ), hAPP( Y, hAPP( 
% 0.84/1.21    Z, V0 ) ) ), ~( 'c_in'( V0, X, T ) ) ],
% 0.84/1.21     [ =( hAPP( 'c_FuncSet_Orestrict'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~( 
% 0.84/1.21    'c_in'( U, Y, Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'( 
% 0.84/1.21    Y, Z ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~( 
% 0.84/1.21    'c_Relation_Osym'( X, Y ) ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~( 
% 0.84/1.21    'c_Relation_Otrans'( X, Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'( 
% 0.84/1.21    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.84/1.21    'c_Relation_Osym'( X, Y ) ) ],
% 0.84/1.21     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.84/1.21     ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.84/1.21     [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.84/1.21     [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~( 
% 0.84/1.21    'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X, 
% 0.84/1.21    'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~( 
% 0.84/1.21    'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~( 
% 0.84/1.21    'c_Relation_Osym'( X, Y ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ), 
% 0.84/1.21    ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 
% 0.84/1.21    'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.84/1.21     [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.84/1.21     [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.84/1.21     [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X, 
% 0.84/1.21    Y ) ],
% 0.84/1.21     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.84/1.21     ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.84/1.21     [ 'c_Fun_Obij__betw'( X, Y, Z, T, U ), ~( 'c_Fun_Obij__betw'( 
% 0.84/1.21    'c_FuncSet_Orestrict'( X, Y, T, U ), Y, Z, T, U ) ) ],
% 0.84/1.21     [ 'c_Fun_Obij__betw'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, U, Z, T )
% 0.84/1.21    , ~( 'c_Fun_Obij__betw'( X, Y, U, Z, T ) ) ],
% 0.84/1.21     [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.84/1.21    , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ), 
% 0.84/1.21    'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.84/1.21    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.84/1.21     [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.84/1.21     ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( 
% 0.84/1.21    X, Y ), X, Y, Y, Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.84/1.21    'c_Relation_Osym'( X, Z ) ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 0.84/1.21    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'( 
% 0.84/1.21    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.84/1.21    'c_Relation_Otrans'( X, Y ) ) ],
% 0.84/1.21     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ), 
% 0.84/1.21    'c_Relation_OId'( X ) ) ],
% 0.84/1.21     [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~( 
% 0.84/1.21    'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.84/1.21     [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.84/1.21    W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.84/1.21    , T, U, V0 ), Z, T, V0 ) ) ],
% 0.84/1.21     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T, 
% 0.84/1.21    T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.84/1.21    , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.84/1.21    , Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.84/1.21    'c_Relation_Otrans'( X, Z ) ) ],
% 0.84/1.21     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ), 
% 0.84/1.21    'c_Relation_OId__on'( X, Y ) ) ],
% 0.84/1.21     [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.84/1.21    , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.84/1.21    , Y ), X, Y ) ],
% 0.84/1.21     [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.84/1.21     [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.84/1.21    'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.84/1.21     [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.84/1.21    X ) ],
% 0.84/1.21     [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.84/1.21     [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.84/1.21    , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.84/1.21     [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( 
% 0.84/1.21    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.84/1.21    'c_Relation_Oantisym'( X, Y ) ) ],
% 0.84/1.21     [ 'c_Fun_Obij__betw'( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), X, V0, T
% 0.84/1.21    , W ), ~( 'c_Fun_Obij__betw'( Y, V1, V0, U, W ) ), ~( 'c_Fun_Obij__betw'( 
% 0.84/1.21    Z, X, V1, T, U ) ) ],
% 0.84/1.21     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X, 
% 0.84/1.21    Y, Z ) ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.84/1.21    , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.84/1.21    Y, Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_in'( 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.84/1.21    'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.84/1.21    , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.84/1.21     [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'( 
% 0.84/1.21    'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.84/1.21     [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X, 
% 0.84/1.21    'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.84/1.21     [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), 
% 0.84/1.21    ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.84/1.21     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.84/1.21     ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'( 
% 0.84/1.21    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.84/1.21     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 0.84/1.21    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.84/1.21     [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~( 
% 0.84/1.21    'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.84/1.21     [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~( 
% 0.84/1.21    'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.84/1.21     [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U
% 0.84/1.21     ), X, 'tc_prod'( T, U ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 
% 0.84/1.21    'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.84/1.21    , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.84/1.21    , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.84/1.21    'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, 
% 0.84/1.21    Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.84/1.21    'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, 
% 0.84/1.21    Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 0.84/1.21    Z ) ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 
% 0.84/1.21    'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.84/1.21    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.84/1.21    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.84/1.21    'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( 
% 0.84/1.21    Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.84/1.21    'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.84/1.21    , 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.84/1.21     ), 'tc_prod'( Y, Y ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.84/1.21     ), 'tc_prod'( Y, Y ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 
% 0.84/1.21    T, Z ) ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.84/1.21    'c_Relation_Oantisym'( T, Z ) ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.84/1.21    'c_Relation_Oantisym'( T, Z ) ) ],
% 0.84/1.21     [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.84/1.21    , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.84/1.21     ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.84/1.21    , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.84/1.21     ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.84/1.21    , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ), 
% 0.84/1.21    'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 
% 0.84/1.21    'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 
% 0.84/1.21    'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.84/1.21    , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.84/1.21    , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.84/1.21    , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U, 
% 0.84/1.21    X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.84/1.21    , Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.84/1.21    , Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0, 
% 0.84/1.21    T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W, 
% 0.84/1.21    'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'( 
% 0.84/1.21    Z, V0 ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.84/1.21    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.84/1.21     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.84/1.21    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.84/1.21    'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.84/1.21    'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.84/1.21     ) ) ],
% 0.84/1.21     [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z, 
% 0.84/1.21    'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y, 
% 0.84/1.21    'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X, 
% 0.84/1.21    U ) ],
% 0.84/1.21     [ 'c_in'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), 'c_FuncSet_OPi'( Y, 
% 0.84/1.21    'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( Z, T ) ), 
% 0.84/1.21    'c_in'( 'c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1'( Y, U, X
% 0.84/1.21    , Z, T ), Y, Z ) ],
% 0.84/1.21     [ 'c_in'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), 'c_FuncSet_OPi'( Y, 
% 0.84/1.21    'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( Z, T ) ), 
% 0.84/1.21    ~( 'c_in'( hAPP( X, 
% 0.84/1.21    'c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1'( Y, U, X, Z, T )
% 0.84/1.21     ), U, T ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.84/1.21    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.84/1.21    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.84/1.21    Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.84/1.21    Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.84/1.21    , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.84/1.21    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.84/1.21    Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.84/1.21    Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.84/1.21    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.84/1.21    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.84/1.21    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.84/1.21     [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y, 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.84/1.21    , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.84/1.21    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U, 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 
% 0.84/1.21    'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U, 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 
% 0.84/1.21    'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U, 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 
% 0.84/1.21    'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U, 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 
% 0.84/1.21    'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1'( X, Y, T ) ), 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( T, 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_Ounanimity'( Z ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.84/1.21    , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.84/1.21    , Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.84/1.21    , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.84/1.21    , Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X, 
% 0.84/1.21    T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( 
% 0.84/1.21    Y, Z ), Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X, 
% 0.84/1.21    T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( 
% 0.84/1.21    Y, Z ), Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'( 
% 0.84/1.21    W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'( 
% 0.84/1.21    W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), 
% 0.84/1.21    'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ), 
% 0.84/1.21    'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.84/1.21    , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.84/1.21    , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.84/1.21    , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.84/1.21    , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'( 
% 0.84/1.21    X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'( 
% 0.84/1.21    X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ), 
% 0.84/1.21    'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), 
% 0.84/1.21    'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'( 
% 0.84/1.21    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X, 
% 0.84/1.21    U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.84/1.21     ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, 
% 0.84/1.21    T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.84/1.21    , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.84/1.21    , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, 
% 0.84/1.21    T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), 'c_in'( 
% 0.84/1.21    'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U ), Y, T ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), 'c_in'( 
% 0.84/1.21    'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U ), Y, T ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), ~( 
% 0.84/1.21    'c_in'( hAPP( X, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U )
% 0.84/1.21     ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U ) ), 
% 0.84/1.21    U ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), ~( 
% 0.84/1.21    'c_in'( hAPP( X, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U
% 0.84/1.21     ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U )
% 0.84/1.21     ), U ) ) ],
% 0.84/1.21     [ =( 'c_FuncSet_Ocompose'( X, Y, 'c_FuncSet_Ocompose'( X, Z, T, U, W, V0
% 0.84/1.21     ), U, V0, V1 ), 'c_FuncSet_Ocompose'( X, 'c_FuncSet_Ocompose'( V2, Y, Z
% 0.84/1.21    , W, V0, V1 ), T, U, W, V1 ) ), ~( 'c_in'( Y, 'c_FuncSet_OPi'( V3, 
% 0.84/1.21    'c_COMBK'( V4, 'tc_fun'( V1, 'tc_bool' ), V0 ), V0, V1 ), 'tc_fun'( V0, 
% 0.84/1.21    V1 ) ) ), ~( 'c_in'( Z, 'c_FuncSet_OPi'( V2, 'c_COMBK'( V3, 'tc_fun'( V0
% 0.84/1.21    , 'tc_bool' ), W ), W, V0 ), 'tc_fun'( W, V0 ) ) ), ~( 'c_in'( T, 
% 0.84/1.21    'c_FuncSet_OPi'( X, 'c_COMBK'( V2, 'tc_fun'( W, 'tc_bool' ), U ), U, W )
% 0.84/1.21    , 'tc_fun'( U, W ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), 'c_FuncSet_OPi'( X, 
% 0.84/1.21    'c_COMBK'( V0, 'tc_fun'( W, 'tc_bool' ), T ), T, W ), 'tc_fun'( T, W ) )
% 0.84/1.21    , ~( 'c_in'( Y, 'c_FuncSet_OPi'( V1, 'c_COMBK'( V0, 'tc_fun'( W, 
% 0.84/1.21    'tc_bool' ), U ), U, W ), 'tc_fun'( U, W ) ) ), ~( 'c_in'( Z, 
% 0.84/1.21    'c_FuncSet_OPi'( X, 'c_COMBK'( V1, 'tc_fun'( U, 'tc_bool' ), T ), T, U )
% 0.84/1.21    , 'tc_fun'( T, U ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_COMBI'( X ), 'c_FuncSet_OPi'( Y, 'c_COMBK'( Y, 'tc_fun'( X
% 0.84/1.21    , 'tc_bool' ), X ), X, X ), 'tc_fun'( X, X ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_FuncSet_OPi'( Y, 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' )
% 0.84/1.21    , U ), U, T ), 'tc_fun'( U, T ) ), ~( 'c_Fun_Obij__betw'( X, Y, Z, U, T )
% 0.84/1.21     ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , =( Y, X ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, 'c_FuncSet_OPi'( Y, 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' )
% 0.84/1.21    , U ), U, T ), 'tc_fun'( U, T ) ), ~( 'c_in'( hAPP( X, 
% 0.84/1.21    'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( Y, Z, X, U, T ) ), Z, T ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_in'( X, 'c_FuncSet_OPi'( Y, 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' )
% 0.84/1.21    , U ), U, T ), 'tc_fun'( U, T ) ), 'c_in'( 
% 0.84/1.21    'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( Y, Z, X, U, T ), Y, U ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ), 'c_in'( 
% 0.84/1.21    'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y ), 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ =( hAPP( X, Y ), hAPP( Y, Z ) ), ~( 'c_in'( Y, 
% 0.84/1.21    'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_Odictator'( X, Z ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'c_in'( hAPP( X, Y ), hAPP( Z, Y ), T ), ~( 'c_in'( Y, U, W ) ), ~( 
% 0.84/1.21    'c_in'( X, 'c_FuncSet_OPi'( U, Z, W, T ), 'tc_fun'( W, T ) ) ) ],
% 0.84/1.21     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), hAPP( U, X ), W ), ~( 
% 0.84/1.21    'c_in'( T, 'c_FuncSet_OPi'( Y, U, Z, W ), 'tc_fun'( Z, W ) ) ) ],
% 0.84/1.21     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 'c_in'( X, 
% 0.84/1.21    'c_FuncSet_OPi'( U, 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' ), W ), W, T ), 
% 0.84/1.21    'tc_fun'( W, T ) ) ) ],
% 0.84/1.21     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.84/1.21     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.84/1.21     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.84/1.21     [ 'c_in'( 'v_F', 'c_FuncSet_OPi'( 'c_Arrow__Order__Mirabelle_OProf', 
% 0.84/1.21    'c_COMBK'( 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 
% 0.84/1.21    'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 
% 0.84/1.21    'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ],
% 0.84/1.21     [ ~( 'c_Arrow__Order__Mirabelle_Odictator'( 'v_F', 'v_i' ) ) ],
% 0.84/1.21     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21    , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_i' ), 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.84/1.21     ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'( 
% 0.84/1.21    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.84/1.21    'tc_bool' ) ) ) ) ],
% 0.84/1.21     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~( 
% 0.84/1.21    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.84/1.21    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.84/1.21     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.84/1.21    'class_Lattices_Olattice'( Y ) ) ],
% 0.84/1.21     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.84/1.21    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.84/1.21     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.84/1.21    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.84/1.21    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.84/1.21     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.84/1.21    'class_Orderings_Opreorder'( Y ) ) ],
% 0.84/1.21     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.84/1.21    'class_Lattices_Olattice'( Y ) ) ],
% 0.84/1.21     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.84/1.21    'class_Orderings_Oorder'( Y ) ) ],
% 0.84/1.21     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.84/1.21    Y ) ) ],
% 0.84/1.21     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.84/1.21    ,
% 0.84/1.21     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.84/1.21     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.84/1.21     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.84/1.21     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.84/1.21     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.84/1.21     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.84/1.21     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.84/1.21     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.84/1.21     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.84/1.21     [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.84/1.21     [ 'c_fequal'( X, X, Y ) ],
% 0.84/1.21     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.84/1.21  ] .
% 0.84/1.21  
% 0.84/1.21  
% 0.84/1.21  percentage equality = 0.229381, percentage horn = 0.819706
% 0.84/1.21  This is a problem with some equality
% 0.84/1.21  
% 0.84/1.21  
% 0.84/1.21  
% 0.84/1.21  Options Used:
% 0.84/1.21  
% 0.84/1.21  useres =            1
% 0.84/1.21  useparamod =        1
% 0.84/1.21  useeqrefl =         1
% 0.84/1.21  useeqfact =         1
% 0.84/1.21  usefactor =         1
% 0.84/1.21  usesimpsplitting =  0
% 0.84/1.21  usesimpdemod =      5
% 0.84/1.21  usesimpres =        3
% 0.84/1.21  
% 0.84/1.21  resimpinuse      =  1000
% 0.84/1.21  resimpclauses =     20000
% 0.84/1.21  substype =          eqrewr
% 0.84/1.21  backwardsubs =      1
% 0.84/1.21  selectoldest =      5
% 0.84/1.21  
% 0.84/1.21  litorderings [0] =  split
% 0.84/1.21  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.84/1.21  
% 0.84/1.21  termordering =      kbo
% 0.84/1.21  
% 0.84/1.21  litapriori =        0
% 0.84/1.21  termapriori =       1
% 0.84/1.21  litaposteriori =    0
% 0.84/1.21  termaposteriori =   0
% 0.84/1.21  demodaposteriori =  0
% 0.84/1.21  ordereqreflfact =   0
% 0.84/1.21  
% 0.84/1.21  litselect =         negord
% 0.84/1.21  
% 0.84/1.21  maxweight =         15
% 0.84/1.21  maxdepth =          30000
% 0.84/1.21  maxlength =         115
% 0.84/1.21  maxnrvars =         195
% 0.84/1.21  excuselevel =       1
% 0.84/1.21  increasemaxweight = 1
% 0.84/1.21  
% 0.84/1.21  maxselected =       10000000
% 0.84/1.21  maxnrclauses =      10000000
% 0.84/1.21  
% 0.84/1.21  showgenerated =    0
% 0.84/1.22  showkept =         0
% 0.84/1.22  showselected =     0
% 0.84/1.22  showdeleted =      0
% 0.84/1.22  showresimp =       1
% 0.84/1.22  showstatus =       2000
% 0.84/1.22  
% 0.84/1.22  prologoutput =     1
% 0.84/1.22  nrgoals =          5000000
% 0.84/1.22  totalproof =       1
% 0.84/1.22  
% 0.84/1.22  Symbols occurring in the translation:
% 0.84/1.22  
% 0.84/1.22  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.84/1.22  .  [1, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 0.84/1.22  !  [4, 1]      (w:0, o:64, a:1, s:1, b:0), 
% 0.84/1.22  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.84/1.22  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.84/1.22  'tc_bool'  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.84/1.22  'tc_fun'  [42, 2]      (w:1, o:110, a:1, s:1, b:0), 
% 0.84/1.22  'c_Orderings_Obot__class_Obot'  [43, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 0.84/1.22  'c_Relation_OImage'  [45, 4]      (w:1, o:154, a:1, s:1, b:0), 
% 0.84/1.22  'c_lessequals'  [46, 3]      (w:1, o:131, a:1, s:1, b:0), 
% 0.84/1.22  'c_Wellfounded_Owf'  [47, 2]      (w:1, o:111, a:1, s:1, b:0), 
% 0.84/1.22  hAPP  [50, 2]      (w:1, o:112, a:1, s:1, b:0), 
% 0.84/1.22  hBOOL  [51, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 0.84/1.22  'c_in'  [52, 3]      (w:1, o:132, a:1, s:1, b:0), 
% 0.84/1.22  'tc_prod'  [55, 2]      (w:1, o:113, a:1, s:1, b:0), 
% 0.84/1.22  'c_Relation_OField'  [56, 2]      (w:1, o:114, a:1, s:1, b:0), 
% 3.24/3.69  'c_Set_Oimage'  [59, 4]      (w:1, o:156, a:1, s:1, b:0), 
% 3.24/3.69  'c_Relation_ODomain'  [61, 3]      (w:1, o:133, a:1, s:1, b:0), 
% 3.24/3.69  'c_Product__Type_OSigma'  [63, 4]      (w:1, o:157, a:1, s:1, b:0), 
% 3.24/3.69  'c_Set_Oinsert'  [65, 3]      (w:1, o:138, a:1, s:1, b:0), 
% 3.24/3.69  'c_COMBK'  [66, 3]      (w:1, o:139, a:1, s:1, b:0), 
% 3.24/3.69  'c_Relation_OId__on'  [67, 2]      (w:1, o:115, a:1, s:1, b:0), 
% 3.24/3.69  'c_Relation_Orel__comp'  [70, 5]      (w:1, o:169, a:1, s:1, b:0), 
% 3.24/3.69  'class_Orderings_Obot'  [71, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 3.24/3.69  'class_Lattices_Obounded__lattice'  [72, 1]      (w:1, o:72, a:1, s:1, b:0)
% 3.24/3.69    , 
% 3.24/3.69  'c_Lattices_Olower__semilattice__class_Oinf'  [73, 3]      (w:1, o:140, a:1
% 3.24/3.69    , s:1, b:0), 
% 3.24/3.69  'c_Finite__Set_Ofinite'  [74, 2]      (w:1, o:116, a:1, s:1, b:0), 
% 3.24/3.69  'c_Relation_Oantisym'  [75, 2]      (w:1, o:117, a:1, s:1, b:0), 
% 3.24/3.69  'c_Relation_ORange'  [76, 3]      (w:1, o:134, a:1, s:1, b:0), 
% 3.24/3.69  'c_Relation_Orefl__on'  [78, 3]      (w:1, o:135, a:1, s:1, b:0), 
% 3.24/3.69  'c_Relation_Ototal__on'  [79, 3]      (w:1, o:136, a:1, s:1, b:0), 
% 3.24/3.69  'c_Transitive__Closure_Otrancl'  [80, 2]      (w:1, o:118, a:1, s:1, b:0), 
% 3.24/3.69    
% 3.24/3.69  'c_Transitive__Closure_Ortrancl'  [81, 2]      (w:1, o:119, a:1, s:1, b:0)
% 3.24/3.69    , 
% 3.24/3.69  'c_Relation_OId'  [82, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 3.24/3.69  'c_Equiv__Relations_Oequiv'  [83, 3]      (w:1, o:141, a:1, s:1, b:0), 
% 3.24/3.69  'c_Equiv__Relations_Oquotient'  [86, 3]      (w:1, o:142, a:1, s:1, b:0), 
% 3.24/3.69  'c_Pair'  [87, 4]      (w:1, o:158, a:1, s:1, b:0), 
% 3.24/3.69  'class_Lattices_Olower__semilattice'  [89, 1]      (w:1, o:74, a:1, s:1, b:
% 3.24/3.69    0), 
% 3.24/3.69  'class_Finite__Set_Ofinite_Ofinite'  [91, 1]      (w:1, o:75, a:1, s:1, b:0
% 3.24/3.69    ), 
% 3.24/3.69  'c_Relation_Osym'  [93, 2]      (w:1, o:120, a:1, s:1, b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'  [97, 4]      (w:
% 3.24/3.69    1, o:159, a:1, s:1, b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'  [98, 4]      
% 3.24/3.69    (w:1, o:160, a:1, s:1, b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'  [101, 5]      (w:1
% 3.24/3.69    , o:170, a:1, s:1, b:0), 
% 3.24/3.69  'c_Relation_Oconverse'  [102, 3]      (w:1, o:137, a:1, s:1, b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1'  [103, 4]      (w:1, o:161
% 3.24/3.69    , a:1, s:1, b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2'  [104, 5]      (w:1, o:171
% 3.24/3.69    , a:1, s:1, b:0), 
% 3.24/3.69  'class_Lattices_Olattice'  [105, 1]      (w:1, o:76, a:1, s:1, b:0), 
% 3.24/3.69  'c_Hilbert__Choice_Oinv__into'  [106, 4]      (w:1, o:162, a:1, s:1, b:0), 
% 3.24/3.69    
% 3.24/3.69  'c_COMBI'  [109, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 3.24/3.69  'c_Relation_Otrans'  [110, 2]      (w:1, o:121, a:1, s:1, b:0), 
% 3.24/3.69  'c_FuncSet_Orestrict'  [111, 4]      (w:1, o:164, a:1, s:1, b:0), 
% 3.24/3.69  'c_FuncSet_Ocompose'  [114, 6]      (w:1, o:180, a:1, s:1, b:0), 
% 3.24/3.69  'c_Fun_Obij__betw'  [115, 5]      (w:1, o:172, a:1, s:1, b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'  [117, 3]      (w:1
% 3.24/3.69    , o:143, a:1, s:1, b:0), 
% 3.24/3.69  'c_Wellfounded_Oacc'  [118, 2]      (w:1, o:122, a:1, s:1, b:0), 
% 3.24/3.69  'v_sko__Wellfounded__Xacc__Xinducts__1'  [119, 2]      (w:1, o:123, a:1, s:
% 3.24/3.69    1, b:0), 
% 3.24/3.69  't_a'  [120, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'  [121, 3]      
% 3.24/3.69    (w:1, o:144, a:1, s:1, b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'  [122, 3]      (w:
% 3.24/3.69    1, o:145, a:1, s:1, b:0), 
% 3.24/3.69  'v_sko__Wellfounded__Xacc__Xinduct__1'  [123, 2]      (w:1, o:124, a:1, s:1
% 3.24/3.69    , b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'  [124, 3]      (w:1
% 3.24/3.69    , o:146, a:1, s:1, b:0), 
% 3.24/3.69  'c_Arrow__Order__Mirabelle_Obelow'  [126, 3]      (w:1, o:148, a:1, s:1, b:
% 3.24/3.69    0), 
% 3.24/3.69  'c_Arrow__Order__Mirabelle_OLin'  [127, 0]      (w:1, o:47, a:1, s:1, b:0)
% 3.24/3.69    , 
% 3.24/3.69  'tc_Arrow__Order__Mirabelle_Oalt'  [128, 0]      (w:1, o:48, a:1, s:1, b:0)
% 3.24/3.69    , 
% 3.24/3.69  'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'  [130, 4]      (w:1, o:165
% 3.24/3.69    , a:1, s:1, b:0), 
% 3.24/3.69  'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'  [131, 4]      (w:1, o:
% 3.24/3.69    166, a:1, s:1, b:0), 
% 3.24/3.69  'c_Arrow__Order__Mirabelle_Ounanimity'  [132, 1]      (w:1, o:78, a:1, s:1
% 3.24/3.69    , b:0), 
% 3.24/3.69  'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'  [133, 1]      (w:1
% 3.24/3.69    , o:79, a:1, s:1, b:0), 
% 3.24/3.69  'c_Arrow__Order__Mirabelle_OProf'  [134, 0]      (w:1, o:49, a:1, s:1, b:0)
% 65.45/65.91    , 
% 65.45/65.91  'tc_Arrow__Order__Mirabelle_Oindi'  [135, 0]      (w:1, o:50, a:1, s:1, b:0
% 65.45/65.91    ), 
% 65.45/65.91  'c_FuncSet_OPi'  [136, 4]      (w:1, o:167, a:1, s:1, b:0), 
% 65.45/65.91  'c_FuncSet_Osko__FuncSet__XrestrictI__1__1'  [137, 5]      (w:1, o:173, a:1
% 65.45/65.91    , s:1, b:0), 
% 65.45/65.91  'c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1'  [138, 3]      (w:1
% 65.45/65.91    , o:149, a:1, s:1, b:0), 
% 65.45/65.91  'c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1'  [139, 3]      (w:1, o:150
% 65.45/65.91    , a:1, s:1, b:0), 
% 65.45/65.91  'c_Arrow__Order__Mirabelle_Oabove'  [140, 3]      (w:1, o:147, a:1, s:1, b:
% 65.45/65.91    0), 
% 65.45/65.91  'c_FuncSet_Oextensional'  [141, 3]      (w:1, o:151, a:1, s:1, b:0), 
% 65.45/65.91  'class_Orderings_Olinorder'  [143, 1]      (w:1, o:80, a:1, s:1, b:0), 
% 65.45/65.91  'class_Orderings_Opreorder'  [146, 1]      (w:1, o:82, a:1, s:1, b:0), 
% 65.45/65.91  'class_Orderings_Oorder'  [147, 1]      (w:1, o:81, a:1, s:1, b:0), 
% 65.45/65.91  'class_HOL_Oord'  [152, 1]      (w:1, o:83, a:1, s:1, b:0), 
% 65.45/65.91  'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'  [155, 2]      (w:1, o:
% 65.45/65.91    125, a:1, s:1, b:0), 
% 65.45/65.91  'c_Arrow__Order__Mirabelle_Odictator'  [156, 2]      (w:1, o:126, a:1, s:1
% 65.45/65.91    , b:0), 
% 65.45/65.91  'c_Relation_Oinv__image'  [157, 4]      (w:1, o:155, a:1, s:1, b:0), 
% 65.45/65.91  'c_Arrow__Order__Mirabelle_Omkbot'  [160, 2]      (w:1, o:127, a:1, s:1, b:
% 65.45/65.91    0), 
% 65.45/65.91  'c_Arrow__Order__Mirabelle_Omktop'  [161, 2]      (w:1, o:128, a:1, s:1, b:
% 65.45/65.91    0), 
% 65.45/65.91  'c_Recdef_Ocut'  [162, 5]      (w:1, o:174, a:1, s:1, b:0), 
% 65.45/65.91  'c_FunDef_Oin__rel'  [163, 5]      (w:1, o:175, a:1, s:1, b:0), 
% 65.45/65.91  'c_Relation_Oirrefl'  [164, 2]      (w:1, o:129, a:1, s:1, b:0), 
% 65.45/65.91  'c_Equiv__Relations_Ocongruent'  [165, 4]      (w:1, o:163, a:1, s:1, b:0)
% 65.45/65.91    , 
% 65.45/65.91  'c_Nitpick_Orefl_H'  [166, 2]      (w:1, o:130, a:1, s:1, b:0), 
% 65.45/65.91  'c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1'  [167, 5]      (w:1
% 65.45/65.91    , o:176, a:1, s:1, b:0), 
% 65.45/65.91  'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'  [168, 4]      (w:1, o:168
% 65.45/65.91    , a:1, s:1, b:0), 
% 65.45/65.91  'c_Arrow__Order__Mirabelle_OIIA'  [169, 1]      (w:1, o:84, a:1, s:1, b:0)
% 65.45/65.91    , 
% 65.45/65.91  'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1'  [170, 3]      (w:1
% 65.45/65.91    , o:152, a:1, s:1, b:0), 
% 65.45/65.91  'c_FuncSet_Osko__FuncSet__XPi__I__1__1'  [171, 5]      (w:1, o:177, a:1, s:
% 65.45/65.91    1, b:0), 
% 65.45/65.91  'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'  [172, 5]      (w:1, o:178, a:1
% 65.45/65.91    , s:1, b:0), 
% 65.45/65.91  'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'  [173, 5]      (w:1, o:179, a:1
% 65.45/65.91    , s:1, b:0), 
% 65.45/65.91  'v_F'  [176, 0]      (w:1, o:60, a:1, s:1, b:0), 
% 65.45/65.91  'v_i'  [177, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 65.45/65.91  'c_fequal'  [180, 3]      (w:1, o:153, a:1, s:1, b:0).
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Starting Search:
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    5497
% 65.45/65.91  Kept:         2004
% 65.45/65.91  Inuse:        127
% 65.45/65.91  Deleted:      3
% 65.45/65.91  Deletedinuse: 0
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    20022
% 65.45/65.91  Kept:         4031
% 65.45/65.91  Inuse:        163
% 65.45/65.91  Deleted:      3
% 65.45/65.91  Deletedinuse: 0
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    32090
% 65.45/65.91  Kept:         6174
% 65.45/65.91  Inuse:        217
% 65.45/65.91  Deleted:      4
% 65.45/65.91  Deletedinuse: 0
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    39518
% 65.45/65.91  Kept:         8178
% 65.45/65.91  Inuse:        278
% 65.45/65.91  Deleted:      7
% 65.45/65.91  Deletedinuse: 3
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    48892
% 65.45/65.91  Kept:         10205
% 65.45/65.91  Inuse:        317
% 65.45/65.91  Deleted:      9
% 65.45/65.91  Deletedinuse: 5
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    54904
% 65.45/65.91  Kept:         12208
% 65.45/65.91  Inuse:        349
% 65.45/65.91  Deleted:      13
% 65.45/65.91  Deletedinuse: 9
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    63433
% 65.45/65.91  Kept:         14275
% 65.45/65.91  Inuse:        365
% 65.45/65.91  Deleted:      13
% 65.45/65.91  Deletedinuse: 9
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    70232
% 65.45/65.91  Kept:         16353
% 65.45/65.91  Inuse:        383
% 65.45/65.91  Deleted:      13
% 65.45/65.91  Deletedinuse: 9
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    76156
% 65.45/65.91  Kept:         18361
% 65.45/65.91  Inuse:        402
% 65.45/65.91  Deleted:      14
% 65.45/65.91  Deletedinuse: 9
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  Resimplifying inuse:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  Resimplifying clauses:
% 65.45/65.91  Done
% 65.45/65.91  
% 65.45/65.91  
% 65.45/65.91  Intermediate Status:
% 65.45/65.91  Generated:    86593
% 65.45/65.91  Kept:         20393
% 65.45/65.91  Inuse:        445
% 238.29/238.74  Deleted:      137
% 238.29/238.74  Deletedinuse: 9
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    100824
% 238.29/238.74  Kept:         22487
% 238.29/238.74  Inuse:        510
% 238.29/238.74  Deleted:      138
% 238.29/238.74  Deletedinuse: 10
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    110603
% 238.29/238.74  Kept:         24635
% 238.29/238.74  Inuse:        555
% 238.29/238.74  Deleted:      138
% 238.29/238.74  Deletedinuse: 10
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    118088
% 238.29/238.74  Kept:         26703
% 238.29/238.74  Inuse:        592
% 238.29/238.74  Deleted:      140
% 238.29/238.74  Deletedinuse: 12
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    127551
% 238.29/238.74  Kept:         28791
% 238.29/238.74  Inuse:        624
% 238.29/238.74  Deleted:      140
% 238.29/238.74  Deletedinuse: 12
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    133797
% 238.29/238.74  Kept:         30991
% 238.29/238.74  Inuse:        643
% 238.29/238.74  Deleted:      140
% 238.29/238.74  Deletedinuse: 12
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    143173
% 238.29/238.74  Kept:         32993
% 238.29/238.74  Inuse:        679
% 238.29/238.74  Deleted:      140
% 238.29/238.74  Deletedinuse: 12
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    152043
% 238.29/238.74  Kept:         35098
% 238.29/238.74  Inuse:        708
% 238.29/238.74  Deleted:      143
% 238.29/238.74  Deletedinuse: 15
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    158469
% 238.29/238.74  Kept:         37107
% 238.29/238.74  Inuse:        728
% 238.29/238.74  Deleted:      143
% 238.29/238.74  Deletedinuse: 15
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    165020
% 238.29/238.74  Kept:         39250
% 238.29/238.74  Inuse:        749
% 238.29/238.74  Deleted:      143
% 238.29/238.74  Deletedinuse: 15
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying clauses:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    170202
% 238.29/238.74  Kept:         41270
% 238.29/238.74  Inuse:        765
% 238.29/238.74  Deleted:      243
% 238.29/238.74  Deletedinuse: 16
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    180099
% 238.29/238.74  Kept:         43469
% 238.29/238.74  Inuse:        775
% 238.29/238.74  Deleted:      244
% 238.29/238.74  Deletedinuse: 17
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    188851
% 238.29/238.74  Kept:         45579
% 238.29/238.74  Inuse:        795
% 238.29/238.74  Deleted:      244
% 238.29/238.74  Deletedinuse: 17
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    197635
% 238.29/238.74  Kept:         47660
% 238.29/238.74  Inuse:        814
% 238.29/238.74  Deleted:      244
% 238.29/238.74  Deletedinuse: 17
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    205307
% 238.29/238.74  Kept:         49710
% 238.29/238.74  Inuse:        831
% 238.29/238.74  Deleted:      244
% 238.29/238.74  Deletedinuse: 17
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    212731
% 238.29/238.74  Kept:         51739
% 238.29/238.74  Inuse:        849
% 238.29/238.74  Deleted:      244
% 238.29/238.74  Deletedinuse: 17
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    248916
% 238.29/238.74  Kept:         56789
% 238.29/238.74  Inuse:        885
% 238.29/238.74  Deleted:      246
% 238.29/238.74  Deletedinuse: 19
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    358697
% 238.29/238.74  Kept:         61605
% 238.29/238.74  Inuse:        890
% 238.29/238.74  Deleted:      246
% 238.29/238.74  Deletedinuse: 19
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying clauses:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    478760
% 238.29/238.74  Kept:         66521
% 238.29/238.74  Inuse:        895
% 238.29/238.74  Deleted:      275
% 238.29/238.74  Deletedinuse: 19
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    611511
% 238.29/238.74  Kept:         73400
% 238.29/238.74  Inuse:        905
% 238.29/238.74  Deleted:      275
% 238.29/238.74  Deletedinuse: 19
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    739286
% 238.29/238.74  Kept:         78519
% 238.29/238.74  Inuse:        910
% 238.29/238.74  Deleted:      275
% 238.29/238.74  Deletedinuse: 19
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    758758
% 238.29/238.74  Kept:         80627
% 238.29/238.74  Inuse:        915
% 238.29/238.74  Deleted:      275
% 238.29/238.74  Deletedinuse: 19
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    830423
% 238.29/238.74  Kept:         84463
% 238.29/238.74  Inuse:        920
% 238.29/238.74  Deleted:      275
% 238.29/238.74  Deletedinuse: 19
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying clauses:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    883689
% 238.29/238.74  Kept:         88378
% 238.29/238.74  Inuse:        925
% 238.29/238.74  Deleted:      278
% 238.29/238.74  Deletedinuse: 19
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    1230628
% 238.29/238.74  Kept:         95486
% 238.29/238.74  Inuse:        930
% 238.29/238.74  Deleted:      278
% 238.29/238.74  Deletedinuse: 19
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  Resimplifying inuse:
% 238.29/238.74  Done
% 238.29/238.74  
% 238.29/238.74  
% 238.29/238.74  Intermediate Status:
% 238.29/238.74  Generated:    1249334
% 238.29/238.74  Kept:         Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------