TSTP Solution File: SCT023-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SCT023-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n014.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 21:00:37 EDT 2022

% Result   : Timeout 300.06s 300.54s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SCT023-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Fri Jul  1 21:44:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.88/1.27  *** allocated 10000 integers for termspace/termends
% 0.88/1.27  *** allocated 10000 integers for clauses
% 0.88/1.27  *** allocated 10000 integers for justifications
% 0.88/1.27  *** allocated 15000 integers for termspace/termends
% 0.88/1.27  Bliksem 1.12
% 0.88/1.27  
% 0.88/1.27  
% 0.88/1.27  Automatic Strategy Selection
% 0.88/1.27  
% 0.88/1.27  Clauses:
% 0.88/1.27  [
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.88/1.27    , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.27    'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27    , T, X ) ) ), =( Z, T ) ],
% 0.88/1.27     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27    , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.27     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.88/1.27     [ =( 'c_Relation_OImage'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.88/1.27    'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U, 
% 0.88/1.27    Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.88/1.27    , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.88/1.27    'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( 
% 0.88/1.27    'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.88/1.27    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.27     ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.27    , X ) ],
% 0.88/1.27     [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( 'c_Product__Type_OSigma'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.27    , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.27    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 0.88/1.27    'c_in'( U, T, Z ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.88/1.27    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ), 
% 0.88/1.27    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.27     ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.27     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.27    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.27     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.27    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.88/1.27    Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X, 
% 0.88/1.27    Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( 
% 0.88/1.27    'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.27    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.27    'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.27    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.88/1.27    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.88/1.27    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.27     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.27    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.27    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.27    , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.27     [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.27    , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.27    , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( 
% 0.88/1.27    Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Relation_ODomain'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.88/1.27    , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ), Y, X ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.27    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27     ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.27     ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Set_Oimage'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Relation_OImage'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.88/1.27    'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.27     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.27    , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'( 
% 0.88/1.27    Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.88/1.27     ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.88/1.27     ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.88/1.27     [ =( 'c_Product__Type_OSigma'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.88/1.27    , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.88/1.27    'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.27    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 
% 0.88/1.27    'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.27    X, 'tc_bool' ) ), Y ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), X ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( 
% 0.88/1.27    'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 
% 0.88/1.27    'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.88/1.27    , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.88/1.27    , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.88/1.27    , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ), 
% 0.88/1.27    'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27     ) ), Y ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.27    T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 0.88/1.27    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 0.88/1.27    'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 0.88/1.27    'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.27    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.27    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.88/1.27    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.27    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.27    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.27    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.27    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.27    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.27    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.27     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.27    Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.88/1.27    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.88/1.27    Y, Z ) ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.27    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.88/1.27     [ =( 'c_Product__Type_OSigma'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.27    , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Relation_Oconverse'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X, 
% 0.88/1.27    Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ), 
% 0.88/1.27    'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.27    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.27    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.88/1.27     [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 
% 0.88/1.27    'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.88/1.27     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.27    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.27     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.27    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.27     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.27     ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.27    Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Relation_Orel__comp'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    Z, T ), 'tc_bool' ) ), U, Z, T, W ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.27    , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'( 
% 0.88/1.27    'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Relation_Orel__comp'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    T, U ), 'tc_bool' ) ), W, T, U ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.27    , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'( 
% 0.88/1.27    'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.27    , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.27    , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.27    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    Z, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.27    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    T, Z, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.88/1.27    'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.88/1.27    'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.27    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    Z, T, X ), X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.27    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    T, Z, X ), X ) ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.27    Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.27     [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.88/1.27    , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.27     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.27    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.27     ) ), Z, X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.27    Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.27     ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Relation_ORange'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z, 
% 0.88/1.27    T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.27    T, 'tc_bool' ) ) ],
% 0.88/1.27     [ =( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.27    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.27    'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.88/1.27    'c_in'( X, T, Z ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.27     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.88/1.27    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.27    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.27     [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.88/1.27    , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( 
% 0.88/1.27    Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.88/1.27    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.88/1.27    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.27    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( 
% 0.88/1.27    'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.88/1.27    , T ) ) ],
% 0.88/1.27     [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.88/1.27    , T ) ) ],
% 0.88/1.27     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.27     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.88/1.27    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.27     ), Y ) ) ],
% 0.88/1.27     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.27     ), Y ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.27     ), Y ) ) ],
% 0.88/1.27     [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z ) ) ],
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27    , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.27     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.27     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z ) ) ],
% 0.88/1.27     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z ) ) ],
% 0.88/1.27     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.27     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.27     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.27     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.27     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.27     [ 'c_Relation_Otrans'( X, Y ), ~( 
% 0.88/1.27    'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.88/1.27     [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.27    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.88/1.27    'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.88/1.27     [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.88/1.27    'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.88/1.27    , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T, 
% 0.88/1.27    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, 
% 0.88/1.27    Z ) ) ],
% 0.88/1.27     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.88/1.27    ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ), 
% 0.88/1.27    'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 
% 0.88/1.27    'tc_bool' ) ), ~( 'c_lessequals'( hAPP( Y, 
% 0.88/1.27    'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.88/1.27     ), hAPP( W, 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, 
% 0.88/1.27    Y, W, Z, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 0.88/1.27    'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.88/1.27    , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.27    X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.88/1.27     ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.27    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'( 
% 0.88/1.27    'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.88/1.27    , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~( 
% 0.88/1.27    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 
% 0.88/1.27    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.27    'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.27    'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.88/1.27     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.88/1.27     ) ],
% 0.88/1.27     [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( 
% 0.88/1.27    Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), 
% 0.88/1.27    ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.88/1.27    'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.27    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.27    Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.88/1.27    , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~( 
% 0.88/1.27    'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'( 
% 0.88/1.27    T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'( 
% 0.88/1.27    'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.27    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.88/1.27    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.27     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.27    ,
% 0.88/1.27     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.27     ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.88/1.27     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.88/1.27     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( 
% 0.88/1.27    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.27     [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.88/1.27    'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.88/1.27    'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.88/1.27    'c_lessequals'( Y, Z, X ) ],
% 0.88/1.27     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.88/1.27    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.27     ],
% 0.88/1.27     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.27    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.27     ],
% 0.88/1.27     [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.27    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 
% 0.88/1.27    'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.88/1.27     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.27    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.88/1.27     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.88/1.27    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.27    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.27     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.27    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.27     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.27    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.27    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.27    'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.27     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.27    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.27    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.27    'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.88/1.27     [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.88/1.27    'tc_bool' ) ), Y, X ) ],
% 0.88/1.27     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.27    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.27    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.27    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.27    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.27     [ =( 'c_Relation_Oconverse'( 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.88/1.27    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.88/1.27    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X, 
% 0.88/1.27    Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ), 
% 0.88/1.28    'tc_bool' ) ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.28    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.28    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.28    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.28    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.28    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.28    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.28    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.28    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.28    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_Product__Type_OSigma'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.88/1.28    , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.88/1.28    'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.28    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T, 
% 0.88/1.28    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 
% 0.88/1.28    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), 
% 0.88/1.28    Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X, 
% 0.88/1.28    'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.88/1.28    'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.28    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.28    X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z, 
% 0.88/1.28    T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.28    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.88/1.28    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.28    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.88/1.28    'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.88/1.28     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.88/1.28    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.88/1.28    , Z ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.28     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.88/1.28    'tc_bool' ) ), X ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.28    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.88/1.28    Y, X ), Z, X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.28    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.28    T, X ), Z, X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.28    'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.28    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.28    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.88/1.28    Y, X ), Z, X ) ) ],
% 0.88/1.28     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.28    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.28    T, X ), Z, X ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.28    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.28    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.28    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.28    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.28    T, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.28    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.28    Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.28    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.88/1.28     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.28    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.28    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.88/1.28    Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.28    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.28    T, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.88/1.28    hAPP( X, T ) ) ) ],
% 0.88/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.88/1.28    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.88/1.28    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.88/1.28    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.88/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.28    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.88/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.28    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.88/1.28    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.28     ) ],
% 0.88/1.28     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.88/1.28    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.88/1.28     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_Relation_Oirrefl'( X, Y ), ~( 
% 0.88/1.28    'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.88/1.28     [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X, 
% 0.88/1.28    U ) ],
% 0.88/1.28     [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.88/1.28    , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.28    T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X, 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.28    T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X, 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ), 
% 0.88/1.28    'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.88/1.28    , T ), T ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.88/1.28    , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y, 
% 0.88/1.28    'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.88/1.28     ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.28    , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.28    'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.28    Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.28    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.88/1.28    'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.28    , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ), 
% 0.88/1.28    'tc_bool' ) ), Z ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'( 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ), 
% 0.88/1.28    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.88/1.28    'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), 
% 0.88/1.28    ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.28    'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.28     ) ), Y ) ],
% 0.88/1.28     [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.28    'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.28     ) ), Y ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.28    'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.88/1.28    ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.28     [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ), 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y, 
% 0.88/1.28    'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ), 
% 0.88/1.28    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.88/1.28    , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.88/1.28    , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X, 
% 0.88/1.28    'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.88/1.28    'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), 
% 0.88/1.28    ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ), 
% 0.88/1.28    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( 
% 0.88/1.28    Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), 
% 0.88/1.28    ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.28    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ), 
% 0.88/1.28    'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, 
% 0.88/1.28    Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'( 
% 0.88/1.28    'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.88/1.28     [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X, 
% 0.88/1.28    'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'( 
% 0.88/1.28    X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.88/1.28     [ =( 'c_Relation_OImage'( X, 
% 0.88/1.28    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.28    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.28    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.88/1.28    'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'( 
% 0.88/1.28    'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'( 
% 0.88/1.28    Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~( 
% 0.88/1.28    'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.28     [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), 
% 0.88/1.28    'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X, 
% 0.88/1.28    'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.28     [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~( 
% 0.88/1.28    'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ), 
% 0.88/1.28    ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.88/1.28    , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.88/1.28    , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.88/1.28     ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.88/1.28    , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.88/1.28     ), U ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.88/1.28    , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ), 
% 0.88/1.28    'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.88/1.28    'c_in'( W, Y, Z ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.28    'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.28    , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 
% 0.88/1.28    'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ), 
% 0.88/1.28    ~( 'c_in'( W, T, U ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ), 
% 0.88/1.28    'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 
% 0.88/1.28    'tc_bool' ) ), 'c_in'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.88/1.28    , X, Z ), ~( 'c_lessequals'( X, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.88/1.28    , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'( 
% 0.88/1.28    'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T, 
% 0.88/1.28    'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 
% 0.88/1.28    'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.88/1.28     ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T, 
% 0.88/1.28    'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 
% 0.88/1.28    'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( 
% 0.88/1.28    Z, T ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.28    'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.88/1.28    , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.28     ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.28    Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ), 
% 0.88/1.28    U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_Relation_OImage'( U, 'c_Set_Oinsert'( X, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ), 
% 0.88/1.28    T ) ) ],
% 0.88/1.28     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28    , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.28    'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.28     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28    , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.28    'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.28     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28     ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.88/1.28    , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.28     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28     ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, 
% 0.88/1.28    Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, 
% 0.88/1.28    Z ) ) ],
% 0.88/1.28     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28    , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.88/1.28    T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.88/1.28    , Z ) ) ],
% 0.88/1.28     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28     ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 
% 0.88/1.28    'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.88/1.28    , X, 'tc_prod'( Z, Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U, 
% 0.88/1.28    'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.88/1.28    , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ), 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y, 
% 0.88/1.28    U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'c_Relation_OImage'( T, 'c_Set_Oinsert'( X, 
% 0.88/1.28    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.88/1.28     ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T, 
% 0.88/1.28    'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 
% 0.88/1.28    'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.88/1.28    , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 
% 0.88/1.28    'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, 
% 0.88/1.28    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ), 
% 0.88/1.28    T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.88/1.28    , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.88/1.28     ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.88/1.28    , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.88/1.28     ) ) ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 
% 0.88/1.28    'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.88/1.28     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 
% 0.88/1.28    'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.88/1.28    'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.88/1.28    'c_lessequals'( Z, Y, X ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'( 
% 0.88/1.28    U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.88/1.28    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ) ) ],
% 0.88/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.88/1.28    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.88/1.28    'tc_bool' ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.28    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'( 
% 0.88/1.28    T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~( 
% 0.88/1.28    'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T, 
% 0.88/1.28    'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.88/1.28     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.88/1.28     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~( 
% 0.88/1.28    'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.88/1.28    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.88/1.28    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.88/1.28    'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.28    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.28    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.28     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.88/1.28    , T, Z ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.88/1.28     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.88/1.28    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.28    'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.88/1.28    , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.28    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.28    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.28    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.28    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.28    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.28    'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.28    'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U, 
% 0.88/1.28    'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.88/1.28    , Z, T ), Z ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.88/1.28    X, T ), Y ) ) ) ],
% 0.88/1.28     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.88/1.28    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.28     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.28    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.88/1.28    'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ), 
% 0.88/1.28    'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ), 
% 0.88/1.28    'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ), 
% 0.88/1.28    'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.88/1.28    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X, 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.28    'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.28    'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.28     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.88/1.28    , T ) ],
% 0.88/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ), 
% 0.88/1.28    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.28     ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.28     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.88/1.28    , T ) ],
% 0.88/1.28     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.28    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.88/1.28    , Z ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.88/1.28    , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 
% 0.88/1.28    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28     [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U, 
% 0.88/1.28    'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U, 
% 0.88/1.28    Z, T ), T ) ) ],
% 0.88/1.28     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.88/1.28    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.28     ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.88/1.28    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.88/1.28    , Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.28     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.88/1.28    'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.88/1.28     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.88/1.28    , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 
% 0.88/1.28    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ), 
% 0.88/1.28    Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.88/1.28    , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, 
% 0.88/1.28    T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, 
% 0.88/1.28    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.88/1.28    , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ), 
% 0.88/1.28    ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.88/1.28     ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.28     [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.88/1.28    , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 
% 0.88/1.28    'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~( 
% 0.88/1.28    'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'( 
% 0.88/1.28    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.88/1.28    'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.88/1.28    'c_Relation_Otrans'( X, Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.88/1.28     ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.88/1.28     ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.88/1.28     ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.28    'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.88/1.28    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.88/1.28     ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.28    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.88/1.28    , 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.28    'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.28    'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'( 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~( 
% 0.88/1.28    'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.28    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.28    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'( 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP( 
% 0.88/1.28    X, U ), W ) ) ],
% 0.88/1.28     [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP( 
% 0.88/1.28    X, U ), W ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 
% 0.88/1.28    'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.88/1.28    , T ) ) ) ],
% 0.88/1.28     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.88/1.28    , Z, T ) ) ],
% 0.88/1.28     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.88/1.28    , Z, T ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.88/1.28    , U ), U ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.88/1.28    , U ), U ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'( 
% 0.88/1.28    Y, Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~( 
% 0.88/1.28    'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ), 
% 0.88/1.28    ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.28    'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.88/1.28     [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'( 
% 0.88/1.28    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.88/1.28    'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.28     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.28     ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.88/1.28    , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.28     [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~( 
% 0.88/1.28    'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X, 
% 0.88/1.28    'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~( 
% 0.88/1.28    'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~( 
% 0.88/1.28    'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ), 
% 0.88/1.28    ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 
% 0.88/1.28    'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.88/1.28     [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.88/1.28     [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.88/1.28     [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X, 
% 0.88/1.28    Y ) ],
% 0.88/1.28     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.28     ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.88/1.28     [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.88/1.28    , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ), 
% 0.88/1.28    'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.28     [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.88/1.28    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.28     [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.28     ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.28    X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.88/1.28    'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.28    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ), 
% 0.88/1.28    'c_Relation_OId'( X ) ) ],
% 0.88/1.28     [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~( 
% 0.88/1.28    'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.28     [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.88/1.28    W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.88/1.28    , T, U, V0 ), Z, T, V0 ) ) ],
% 0.88/1.28     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T, 
% 0.88/1.28    T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.88/1.28    , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.88/1.28    , Y ) ) ],
% 0.88/1.28     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ), 
% 0.88/1.28    'c_Relation_OId__on'( X, Y ) ) ],
% 0.88/1.28     [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.88/1.28    , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.88/1.28    , Y ), X, Y ) ],
% 0.88/1.28     [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.28     [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.88/1.28    'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, 
% 0.88/1.28    Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.88/1.28     ],
% 0.88/1.28     [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.88/1.28    , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~( 
% 0.88/1.28    'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.88/1.28     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.88/1.28    X ) ],
% 0.88/1.28     [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.88/1.28    , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.88/1.28     [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( 
% 0.88/1.28    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.88/1.28    'c_Relation_Oantisym'( X, Y ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.28    'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.88/1.28     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X, 
% 0.88/1.28    Y, Z ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.88/1.28    , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.28    Y, Y ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.88/1.28    , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.88/1.28     ],
% 0.88/1.28     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), 
% 0.88/1.28    'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.88/1.28     [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.88/1.28    , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.88/1.28    , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.88/1.28     [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.88/1.28    'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.88/1.28    , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.88/1.28     [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'( 
% 0.88/1.28    'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X, 
% 0.88/1.28    'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), 
% 0.88/1.28    ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ), 
% 0.88/1.28    'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.88/1.28    , T ), T ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.28    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.28    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.88/1.28    'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T, 
% 0.88/1.28    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, 
% 0.88/1.28    't_a' ), 't_a' ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.88/1.28    , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'( 
% 0.88/1.28    T, Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.88/1.28    , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X, 
% 0.88/1.28    'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z, 
% 0.88/1.28    Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T, 
% 0.88/1.28    'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X, 
% 0.88/1.28    T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.28     ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ), 
% 0.88/1.28    't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( 
% 0.88/1.28    X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X, 
% 0.88/1.28    X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.28     ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.88/1.28    'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T, 
% 0.88/1.28    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, 
% 0.88/1.28    't_a' ), 't_a' ) ) ],
% 0.88/1.28     [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.88/1.28     ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ), 
% 0.88/1.28    V0, 'tc_prod'( T, U ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.88/1.28    , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 
% 0.88/1.28    'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ), 
% 0.88/1.28    't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( 
% 0.88/1.28    X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.88/1.28    , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, 
% 0.88/1.28    'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z, 
% 0.88/1.28    Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 
% 0.88/1.28    'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.88/1.28    , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), 
% 0.88/1.28    Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.88/1.28    , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y, 
% 0.88/1.28    'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.88/1.28     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 0.88/1.28    X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.88/1.28    , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X, 
% 0.88/1.28    'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__XtransI__1__1'( X, Y ), 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__XtransI__1__3'( X, Y ), Y, Y ), X, 
% 0.88/1.28    'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( X, Y ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__XtransI__1__2'( X, Y ), 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__XtransI__1__3'( X, Y ), Y, Y ), X, 
% 0.88/1.28    'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( X, Y ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1'( X, Y ), 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2'( X, Y ), Y, Y ), X, 
% 0.88/1.28    'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1'( X, Y ), 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3'( X, Y ), Y, Y ), X, 
% 0.88/1.28    'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( X, Y ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__XtransI__1__1'( X, Y ), 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__XtransI__1__2'( X, Y ), Y, Y ), X, 
% 0.88/1.28    'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( X, Y ), 'c_in'( 'c_Pair'( 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2'( X, Y ), 
% 0.88/1.28    'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3'( X, Y ), Y, Y ), X, 
% 0.88/1.28    'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.88/1.28    'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.88/1.28    , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~( 
% 0.88/1.28    'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.88/1.28     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.88/1.28    , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~( 
% 0.88/1.28    'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.88/1.28     [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~( 
% 0.88/1.28    'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.88/1.28     [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~( 
% 0.88/1.28    'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.88/1.28     [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U
% 0.88/1.28     ), X, 'tc_prod'( T, U ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 
% 0.88/1.28    'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.88/1.28    'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, 
% 0.88/1.28    Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.88/1.28    'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, 
% 0.88/1.28    Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 0.88/1.28    Z ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 
% 0.88/1.28    'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.88/1.28    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.88/1.28    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.28    'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( 
% 0.88/1.28    Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.28    'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.28    , 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.88/1.28     ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.88/1.28     ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 
% 0.88/1.28    T, Z ) ) ],
% 0.88/1.28     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.88/1.28    , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.28    'c_Relation_Oantisym'( T, Z ) ) ],
% 0.88/1.28     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.88/1.28    , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.28    'c_Relation_Oantisym'( T, Z ) ) ],
% 0.88/1.28     [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.88/1.28    , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.88/1.28     ) ],
% 0.88/1.28     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.88/1.28    , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.88/1.28     ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.88/1.28    , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.88/1.28     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ), 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 
% 0.88/1.28    'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 
% 0.88/1.28    'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.88/1.28    , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.88/1.28    , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.88/1.28    , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U, 
% 0.88/1.28    X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.88/1.28    , Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.88/1.28    , Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0, 
% 0.88/1.28    T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W, 
% 0.88/1.28    'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'( 
% 0.88/1.28    Z, V0 ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.88/1.28    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.28     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.28    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.88/1.28    'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.88/1.28     ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.28    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.88/1.28    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.28    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.88/1.28    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.28    Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.28    Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28    , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.88/1.28    , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.28    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.28     [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y, 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.28    'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28     ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.28    Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.28    Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.28    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.88/1.28    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.28    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.88/1.28    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.88/1.28     [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y, 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.28    'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28     ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28    , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.88/1.28    , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.28    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.88/1.28    , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.88/1.28    , Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.88/1.28    , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.88/1.28    , Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X, 
% 0.88/1.28    T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( 
% 0.88/1.28    Y, Z ), Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X, 
% 0.88/1.28    T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( 
% 0.88/1.28    Y, Z ), Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'( 
% 0.88/1.28    W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'( 
% 0.88/1.28    W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), 
% 0.88/1.28    'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ), 
% 0.88/1.28    'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.88/1.28    , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.88/1.28    , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.88/1.28    , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.88/1.28    , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'( 
% 0.88/1.28    X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'( 
% 0.88/1.28    X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ), 
% 0.88/1.28    'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), 
% 0.88/1.28    'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'( 
% 0.88/1.28    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X, 
% 0.88/1.28    U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.88/1.28     ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, 
% 0.88/1.28    T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.88/1.28    , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.88/1.28    , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, 
% 0.88/1.28    T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.88/1.28     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.88/1.28    , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.88/1.28    'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.88/1.28    , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.88/1.28     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.88/1.28     [ 'c_Relation_Otrans'( hAPP( 'v_P', X ), 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P', Y ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28     ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( 'v_a', 'v_b', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P' ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28     ],
% 0.88/1.28     [ 'c_Relation_Otrans'( 'v_F'( 'v_P' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P' ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28     ) ],
% 0.88/1.28     [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_b', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P', 'v_i' ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28     ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P', Z ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28    , 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P', Z ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28    , =( Y, X ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P' ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28    , 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P' ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28    , =( Y, X ) ],
% 0.88/1.28     [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P' ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28    , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P', 'v_i' ), 'tc_prod'( 
% 0.88/1.28    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28     ), =( X, Y ) ],
% 0.88/1.28     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.28    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.28     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.28    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.28     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.28    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.88/1.28     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.28    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.88/1.28     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.28    'class_Orderings_Opreorder'( Y ) ) ],
% 0.88/1.28     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.28    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.28     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.28    'class_Orderings_Oorder'( Y ) ) ],
% 0.88/1.28     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.88/1.28    Y ) ) ],
% 0.88/1.28     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.88/1.28    ,
% 0.88/1.28     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.88/1.28     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.88/1.28     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.88/1.28     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.88/1.28     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.88/1.28     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.28     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.88/1.28     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.88/1.28     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.88/1.28     [ 'c_fequal'( X, X, Y ) ],
% 0.88/1.28     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.88/1.28  ] .
% 0.88/1.28  
% 0.88/1.28  
% 0.88/1.28  percentage equality = 0.227110, percentage horn = 0.900369
% 0.88/1.28  This is a problem with some equality
% 0.88/1.28  
% 0.88/1.28  
% 0.88/1.28  
% 0.88/1.28  Options Used:
% 0.88/1.28  
% 0.88/1.28  useres =            1
% 0.88/1.28  useparamod =        1
% 0.88/1.28  useeqrefl =         1
% 0.88/1.28  useeqfact =         1
% 0.88/1.28  usefactor =         1
% 0.88/1.28  usesimpsplitting =  0
% 0.88/1.28  usesimpdemod =      5
% 0.88/1.28  usesimpres =        3
% 0.88/1.28  
% 0.88/1.28  resimpinuse      =  1000
% 0.88/1.28  resimpclauses =     20000
% 0.88/1.28  substype =          eqrewr
% 0.88/1.28  backwardsubs =      1
% 0.88/1.28  selectoldest =      5
% 0.88/1.28  
% 0.88/1.28  litorderings [0] =  split
% 0.88/1.28  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.88/1.28  
% 0.88/1.28  termordering =      kbo
% 0.88/1.28  
% 0.88/1.28  litapriori =        0
% 0.88/1.28  termapriori =       1
% 0.88/1.28  litaposteriori =    0
% 0.88/1.28  termaposteriori =   0
% 0.88/1.28  demodaposteriori =  0
% 0.88/1.28  ordereqreflfact =   0
% 0.88/1.28  
% 0.88/1.28  litselect =         negord
% 0.88/1.28  
% 0.88/1.28  maxweight =         15
% 0.88/1.28  maxdepth =          30000
% 0.88/1.28  maxlength =         115
% 0.88/1.28  maxnrvars =         195
% 0.88/1.28  excuselevel =       1
% 0.88/1.28  increasemaxweight = 1
% 0.88/1.28  
% 0.88/1.28  maxselected =       10000000
% 0.88/1.28  maxnrclauses =      10000000
% 0.88/1.28  
% 0.88/1.28  showgenerated =    0
% 0.88/1.28  showkept =         0
% 0.88/1.28  showselected =     0
% 0.88/1.28  showdeleted =      0
% 0.88/1.28  showresimp =       1
% 0.88/1.28  showstatus =       2000
% 0.88/1.28  
% 0.88/1.28  prologoutput =     1
% 0.88/1.28  nrgoals =          5000000
% 0.88/1.28  totalproof =       1
% 0.88/1.28  
% 0.88/1.28  Symbols occurring in the translation:
% 0.88/1.28  
% 0.88/1.28  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.88/1.28  .  [1, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 0.88/1.28  !  [4, 1]      (w:0, o:70, a:1, s:1, b:0), 
% 0.88/1.28  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.28  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.28  'class_Lattices_Olattice'  [40, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 0.88/1.28  'c_Lattices_Oupper__semilattice__class_Osup'  [43, 3]      (w:1, o:142, a:1
% 0.88/1.28    , s:1, b:0), 
% 0.88/1.28  'class_Lattices_Oupper__semilattice'  [45, 1]      (w:1, o:76, a:1, s:1, b:
% 0.88/1.28    0), 
% 0.88/1.28  'tc_bool'  [48, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 0.88/1.28  'tc_fun'  [49, 2]      (w:1, o:116, a:1, s:1, b:0), 
% 0.88/1.28  'c_Set_Oimage'  [53, 4]      (w:1, o:166, a:1, s:1, b:0), 
% 0.88/1.28  'c_HOL_Ominus__class_Ominus'  [54, 3]      (w:1, o:143, a:1, s:1, b:0), 
% 0.88/1.28  'c_lessequals'  [55, 3]      (w:1, o:144, a:1, s:1, b:0), 
% 0.88/1.28  'c_Orderings_Obot__class_Obot'  [56, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 0.88/1.28  'class_OrderedGroup_Oab__group__add'  [57, 1]      (w:1, o:78, a:1, s:1, b:
% 0.88/1.28    0), 
% 0.88/1.28  'c_Set_Oinsert'  [61, 3]      (w:1, o:151, a:1, s:1, b:0), 
% 0.88/1.28  'c_COMBK'  [63, 3]      (w:1, o:152, a:1, s:1, b:0), 
% 0.88/1.28  hAPP  [65, 2]      (w:1, o:117, a:1, s:1, b:0), 
% 0.88/1.28  'c_Relation_OImage'  [67, 4]      (w:1, o:164, a:1, s:1, b:0), 
% 0.88/1.28  'tc_prod'  [69, 2]      (w:1, o:118, a:1, s:1, b:0), 
% 0.88/1.28  'class_Lattices_Odistrib__lattice'  [70, 1]      (w:1, o:79, a:1, s:1, b:0)
% 0.88/1.28    , 
% 0.88/1.28  'c_Lattices_Olower__semilattice__class_Oinf'  [71, 3]      (w:1, o:153, a:1
% 0.88/1.28    , s:1, b:0), 
% 0.88/1.28  'c_Relation_ODomain'  [72, 3]      (w:1, o:145, a:1, s:1, b:0), 
% 0.88/1.28  'c_in'  [75, 3]      (w:1, o:154, a:1, s:1, b:0), 
% 0.88/1.28  'c_Product__Type_OSigma'  [78, 4]      (w:1, o:167, a:1, s:1, b:0), 
% 0.88/1.28  'c_Relation_ORange'  [80, 3]      (w:1, o:146, a:1, s:1, b:0), 
% 0.88/1.28  'c_Transitive__Closure_Ortrancl'  [81, 2]      (w:1, o:119, a:1, s:1, b:0)
% 0.88/1.28    , 
% 0.88/1.28  'class_Orderings_Obot'  [82, 1]      (w:1, o:80, a:1, s:1, b:0), 
% 0.88/1.28  'c_Relation_Osym'  [85, 2]      (w:1, o:120, a:1, s:1, b:0), 
% 0.88/1.28  'class_Lattices_Obounded__lattice'  [86, 1]      (w:1, o:81, a:1, s:1, b:0)
% 0.88/1.28    , 
% 0.88/1.28  hBOOL  [87, 1]      (w:1, o:82, a:1, s:1, b:0), 
% 0.88/1.28  'c_Wellfounded_Owf'  [88, 2]      (w:1, o:121, a:1, s:1, b:0), 
% 0.88/1.28  'c_Relation_Orefl__on'  [89, 3]      (w:1, o:147, a:1, s:1, b:0), 
% 0.88/1.28  'class_Lattices_Olower__semilattice'  [90, 1]      (w:1, o:83, a:1, s:1, b:
% 0.88/1.28    0), 
% 0.88/1.28  'c_Pair'  [91, 4]      (w:1, o:168, a:1, s:1, b:0), 
% 0.88/1.28  'c_Wellfounded_Oacyclic'  [92, 2]      (w:1, o:122, a:1, s:1, b:0), 
% 0.88/1.28  'c_Relation_Oconverse'  [93, 3]      (w:1, o:148, a:1, s:1, b:0), 
% 0.88/1.28  'c_Relation_Ototal__on'  [94, 3]      (w:1, o:150, a:1, s:1, b:0), 
% 0.88/1.28  'c_Order__Relation_Ostrict__linear__order__on'  [95, 3]      (w:1, o:155
% 5.07/5.41    , a:1, s:1, b:0), 
% 5.07/5.41  'c_Relation_Orel__comp'  [98, 5]      (w:1, o:177, a:1, s:1, b:0), 
% 5.07/5.41  'c_Relation_Otrans'  [99, 2]      (w:1, o:123, a:1, s:1, b:0), 
% 5.07/5.41  'c_Relation_OId'  [100, 1]      (w:1, o:84, a:1, s:1, b:0), 
% 5.07/5.41  'c_Relation_Oirrefl'  [101, 2]      (w:1, o:124, a:1, s:1, b:0), 
% 5.07/5.41  'c_Transitive__Closure_Otrancl'  [102, 2]      (w:1, o:125, a:1, s:1, b:0)
% 5.07/5.41    , 
% 5.07/5.41  'c_Equiv__Relations_Oequiv'  [103, 3]      (w:1, o:156, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'  [105, 5]      (w:1
% 5.07/5.41    , o:178, a:1, s:1, b:0), 
% 5.07/5.41  'class_OrderedGroup_Opordered__ab__group__add'  [108, 1]      (w:1, o:85
% 5.07/5.41    , a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__XImageE__1__1'  [109, 5]      (w:1, o:179
% 5.07/5.41    , a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'  [110, 3]      
% 5.07/5.41    (w:1, o:157, a:1, s:1, b:0), 
% 5.07/5.41  'c_Wellfounded_Oacc'  [111, 2]      (w:1, o:126, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'  [112, 3]      (w:
% 5.07/5.41    1, o:158, a:1, s:1, b:0), 
% 5.07/5.41  'c_Relation_Oantisym'  [113, 2]      (w:1, o:127, a:1, s:1, b:0), 
% 5.07/5.41  'c_Relation_OId__on'  [114, 2]      (w:1, o:128, a:1, s:1, b:0), 
% 5.07/5.41  'v_r'  [115, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 5.07/5.41  't_a'  [116, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 5.07/5.41  't_b'  [117, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'  [118, 2]      (w:1, o:
% 5.07/5.41    129, a:1, s:1, b:0), 
% 5.07/5.41  'c_Relation_Osingle__valued'  [119, 3]      (w:1, o:149, a:1, s:1, b:0), 
% 5.07/5.41  'c_Nitpick_Orefl_H'  [120, 2]      (w:1, o:130, a:1, s:1, b:0), 
% 5.07/5.41  'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'  [121, 2]      (w:1, o:131
% 5.07/5.41    , a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'  [122, 4]      
% 5.07/5.41    (w:1, o:169, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'  [123, 4]      
% 5.07/5.41    (w:1, o:170, a:1, s:1, b:0), 
% 5.07/5.41  'class_Orderings_Olinorder'  [125, 1]      (w:1, o:86, a:1, s:1, b:0), 
% 5.07/5.41  'class_Orderings_Opreorder'  [127, 1]      (w:1, o:88, a:1, s:1, b:0), 
% 5.07/5.41  'class_Orderings_Oorder'  [128, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 5.07/5.41  'class_HOL_Oord'  [132, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 5.07/5.41  'c_Relation_Oinv__image'  [135, 4]      (w:1, o:165, a:1, s:1, b:0), 
% 5.07/5.41  'c_split'  [136, 4]      (w:1, o:171, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'  [138, 3]      (w:1
% 5.07/5.41    , o:159, a:1, s:1, b:0), 
% 5.07/5.41  'v_sko__Wellfounded__Xacc__Xinducts__1'  [139, 2]      (w:1, o:132, a:1, s:
% 5.07/5.41    1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'  [140, 5]      (w:1, o:
% 5.07/5.41    180, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'  [142, 3]      
% 5.07/5.41    (w:1, o:160, a:1, s:1, b:0), 
% 5.07/5.41  'v_sko__Wellfounded__Xacc__Xinduct__1'  [143, 2]      (w:1, o:133, a:1, s:1
% 5.07/5.41    , b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'  [144, 3]      (w:1, o:
% 5.07/5.41    161, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'  [145, 3]      (w:1
% 5.07/5.41    , o:162, a:1, s:1, b:0), 
% 5.07/5.41  'c_Equiv__Relations_Ocongruent'  [147, 4]      (w:1, o:172, a:1, s:1, b:0)
% 5.07/5.41    , 
% 5.07/5.41  'c_Equiv__Relations_Ocongruent2'  [149, 6]      (w:1, o:183, a:1, s:1, b:0)
% 5.07/5.41    , 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'  [150, 4]      (w:1, o:173
% 5.07/5.41    , a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'  [152, 4]      (w:1, o:174
% 5.07/5.41    , a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'  [153, 4]      (w:1, o:
% 5.07/5.41    175, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'  [154, 4]      (w:1, o:
% 5.07/5.41    176, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__XtransI__1__1'  [155, 2]      (w:1, o:134
% 5.07/5.41    , a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__XtransI__1__3'  [156, 2]      (w:1, o:136
% 5.07/5.41    , a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__XtransI__1__2'  [157, 2]      (w:1, o:135
% 5.07/5.41    , a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1'  [158, 2]      (w:1, o:
% 5.07/5.41    137, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2'  [159, 2]      (w:1, o:
% 5.07/5.41    138, a:1, s:1, b:0), 
% 5.07/5.41  'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3'  [160, 2]      (w:1, o:
% 5.07/5.41    139, a:1, s:1, b:0), 
% 5.07/5.41  'c_Recdef_Ocut'  [165, 5]      (w:1, o:181, a:1, s:1, b:0), 
% 24.44/24.81  'c_FunDef_Oin__rel'  [166, 5]      (w:1, o:182, a:1, s:1, b:0), 
% 24.44/24.81  'tc_Arrow__Order__Mirabelle_Oalt'  [167, 0]      (w:1, o:60, a:1, s:1, b:0)
% 24.44/24.81    , 
% 24.44/24.81  'c_Arrow__Order__Mirabelle_Omktop'  [169, 2]      (w:1, o:140, a:1, s:1, b:
% 24.44/24.81    0), 
% 24.44/24.81  'c_Arrow__Order__Mirabelle_Omkbot'  [170, 2]      (w:1, o:141, a:1, s:1, b:
% 24.44/24.81    0), 
% 24.44/24.81  'v_P'  [173, 0]      (w:1, o:62, a:1, s:1, b:0), 
% 24.44/24.81  'v_a'  [175, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 24.44/24.81  'v_b'  [176, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 24.44/24.81  'v_F'  [177, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 24.44/24.81  'v_i'  [178, 0]      (w:1, o:65, a:1, s:1, b:0), 
% 24.44/24.81  'c_fequal'  [181, 3]      (w:1, o:163, a:1, s:1, b:0).
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Starting Search:
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    5648
% 24.44/24.81  Kept:         2028
% 24.44/24.81  Inuse:        148
% 24.44/24.81  Deleted:      3
% 24.44/24.81  Deletedinuse: 0
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    13211
% 24.44/24.81  Kept:         4032
% 24.44/24.81  Inuse:        307
% 24.44/24.81  Deleted:      26
% 24.44/24.81  Deletedinuse: 15
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    23368
% 24.44/24.81  Kept:         6036
% 24.44/24.81  Inuse:        459
% 24.44/24.81  Deleted:      40
% 24.44/24.81  Deletedinuse: 20
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    29883
% 24.44/24.81  Kept:         8152
% 24.44/24.81  Inuse:        480
% 24.44/24.81  Deleted:      43
% 24.44/24.81  Deletedinuse: 22
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    39093
% 24.44/24.81  Kept:         10157
% 24.44/24.81  Inuse:        557
% 24.44/24.81  Deleted:      66
% 24.44/24.81  Deletedinuse: 22
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    46504
% 24.44/24.81  Kept:         12205
% 24.44/24.81  Inuse:        669
% 24.44/24.81  Deleted:      79
% 24.44/24.81  Deletedinuse: 32
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    54330
% 24.44/24.81  Kept:         14383
% 24.44/24.81  Inuse:        713
% 24.44/24.81  Deleted:      83
% 24.44/24.81  Deletedinuse: 35
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    78055
% 24.44/24.81  Kept:         16390
% 24.44/24.81  Inuse:        750
% 24.44/24.81  Deleted:      84
% 24.44/24.81  Deletedinuse: 36
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    100188
% 24.44/24.81  Kept:         19362
% 24.44/24.81  Inuse:        786
% 24.44/24.81  Deleted:      89
% 24.44/24.81  Deletedinuse: 39
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    118696
% 24.44/24.81  Kept:         21777
% 24.44/24.81  Inuse:        790
% 24.44/24.81  Deleted:      90
% 24.44/24.81  Deletedinuse: 39
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying clauses:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    135495
% 24.44/24.81  Kept:         23845
% 24.44/24.81  Inuse:        845
% 24.44/24.81  Deleted:      477
% 24.44/24.81  Deletedinuse: 40
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    153445
% 24.44/24.81  Kept:         25973
% 24.44/24.81  Inuse:        910
% 24.44/24.81  Deleted:      477
% 24.44/24.81  Deletedinuse: 40
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    167237
% 24.44/24.81  Kept:         28057
% 24.44/24.81  Inuse:        930
% 24.44/24.81  Deleted:      478
% 24.44/24.81  Deletedinuse: 41
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    186189
% 24.44/24.81  Kept:         30070
% 24.44/24.81  Inuse:        954
% 24.44/24.81  Deleted:      491
% 24.44/24.81  Deletedinuse: 43
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    204527
% 24.44/24.81  Kept:         32117
% 24.44/24.81  Inuse:        1019
% 24.44/24.81  Deleted:      492
% 24.44/24.81  Deletedinuse: 44
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    215266
% 24.44/24.81  Kept:         34136
% 24.44/24.81  Inuse:        1074
% 24.44/24.81  Deleted:      494
% 24.44/24.81  Deletedinuse: 46
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    227252
% 24.44/24.81  Kept:         36289
% 24.44/24.81  Inuse:        1117
% 24.44/24.81  Deleted:      498
% 24.44/24.81  Deletedinuse: 48
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    244294
% 24.44/24.81  Kept:         39822
% 24.44/24.81  Inuse:        1147
% 24.44/24.81  Deleted:      498
% 24.44/24.81  Deletedinuse: 48
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying clauses:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    254433
% 24.44/24.81  Kept:         41907
% 24.44/24.81  Inuse:        1191
% 24.44/24.81  Deleted:      1082
% 24.44/24.81  Deletedinuse: 49
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 24.44/24.81  Generated:    266757
% 24.44/24.81  Kept:         44021
% 24.44/24.81  Inuse:        1236
% 24.44/24.81  Deleted:      1082
% 24.44/24.81  Deletedinuse: 49
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  Resimplifying inuse:
% 24.44/24.81  Done
% 24.44/24.81  
% 24.44/24.81  
% 24.44/24.81  Intermediate Status:
% 96.73/97.11  Generated:    284185
% 96.73/97.11  Kept:         46391
% 96.73/97.11  Inuse:        1276
% 96.73/97.11  Deleted:      1098
% 96.73/97.11  Deletedinuse: 65
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    307359
% 96.73/97.11  Kept:         49905
% 96.73/97.11  Inuse:        1296
% 96.73/97.11  Deleted:      1098
% 96.73/97.11  Deletedinuse: 65
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    319284
% 96.73/97.11  Kept:         52002
% 96.73/97.11  Inuse:        1341
% 96.73/97.11  Deleted:      1098
% 96.73/97.11  Deletedinuse: 65
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    336647
% 96.73/97.11  Kept:         54658
% 96.73/97.11  Inuse:        1364
% 96.73/97.11  Deleted:      1101
% 96.73/97.11  Deletedinuse: 66
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    354913
% 96.73/97.11  Kept:         56658
% 96.73/97.11  Inuse:        1388
% 96.73/97.11  Deleted:      1104
% 96.73/97.11  Deletedinuse: 67
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    370500
% 96.73/97.11  Kept:         59524
% 96.73/97.11  Inuse:        1406
% 96.73/97.11  Deleted:      1107
% 96.73/97.11  Deletedinuse: 69
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    432496
% 96.73/97.11  Kept:         61611
% 96.73/97.11  Inuse:        1435
% 96.73/97.11  Deleted:      1108
% 96.73/97.11  Deletedinuse: 69
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying clauses:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    462293
% 96.73/97.11  Kept:         63625
% 96.73/97.11  Inuse:        1487
% 96.73/97.11  Deleted:      1539
% 96.73/97.11  Deletedinuse: 69
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    488992
% 96.73/97.11  Kept:         65664
% 96.73/97.11  Inuse:        1532
% 96.73/97.11  Deleted:      1540
% 96.73/97.11  Deletedinuse: 69
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    503772
% 96.73/97.11  Kept:         67696
% 96.73/97.11  Inuse:        1579
% 96.73/97.11  Deleted:      1547
% 96.73/97.11  Deletedinuse: 76
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    522348
% 96.73/97.11  Kept:         69800
% 96.73/97.11  Inuse:        1615
% 96.73/97.11  Deleted:      1548
% 96.73/97.11  Deletedinuse: 77
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    532016
% 96.73/97.11  Kept:         71808
% 96.73/97.11  Inuse:        1641
% 96.73/97.11  Deleted:      1554
% 96.73/97.11  Deletedinuse: 79
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    546872
% 96.73/97.11  Kept:         74678
% 96.73/97.11  Inuse:        1649
% 96.73/97.11  Deleted:      1554
% 96.73/97.11  Deletedinuse: 79
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    559072
% 96.73/97.11  Kept:         76860
% 96.73/97.11  Inuse:        1689
% 96.73/97.11  Deleted:      1561
% 96.73/97.11  Deletedinuse: 86
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    578192
% 96.73/97.11  Kept:         78895
% 96.73/97.11  Inuse:        1709
% 96.73/97.11  Deleted:      1564
% 96.73/97.11  Deletedinuse: 89
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    587358
% 96.73/97.11  Kept:         80897
% 96.73/97.11  Inuse:        1738
% 96.73/97.11  Deleted:      1567
% 96.73/97.11  Deletedinuse: 92
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  Resimplifying clauses:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    610233
% 96.73/97.11  Kept:         83818
% 96.73/97.11  Inuse:        1764
% 96.73/97.11  Deleted:      2745
% 96.73/97.11  Deletedinuse: 92
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    626429
% 96.73/97.11  Kept:         86846
% 96.73/97.11  Inuse:        1774
% 96.73/97.11  Deleted:      2746
% 96.73/97.11  Deletedinuse: 93
% 96.73/97.11  
% 96.73/97.11  Resimplifying inuse:
% 96.73/97.11  Done
% 96.73/97.11  
% 96.73/97.11  
% 96.73/97.11  Intermediate Status:
% 96.73/97.11  Generated:    642938
% 96.73/97.11  Kept:         89864
% 96.73/97.11  Inuse:        1784
% 96.73/97.11  Deleted:      2747
% 96.73/97.12  Deletedinuse: 94
% 96.73/97.12  
% 96.73/97.12  Resimplifying inuse:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  Resimplifying inuse:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  
% 96.73/97.12  Intermediate Status:
% 96.73/97.12  Generated:    651364
% 96.73/97.12  Kept:         91893
% 96.73/97.12  Inuse:        1811
% 96.73/97.12  Deleted:      2750
% 96.73/97.12  Deletedinuse: 97
% 96.73/97.12  
% 96.73/97.12  Resimplifying inuse:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  Resimplifying inuse:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  
% 96.73/97.12  Intermediate Status:
% 96.73/97.12  Generated:    698917
% 96.73/97.12  Kept:         98534
% 96.73/97.12  Inuse:        1829
% 96.73/97.12  Deleted:      2750
% 96.73/97.12  Deletedinuse: 97
% 96.73/97.12  
% 96.73/97.12  Resimplifying inuse:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  
% 96.73/97.12  Intermediate Status:
% 96.73/97.12  Generated:    741419
% 96.73/97.12  Kept:         104013
% 96.73/97.12  Inuse:        1834
% 96.73/97.12  Deleted:      2750
% 96.73/97.12  Deletedinuse: 97
% 96.73/97.12  
% 96.73/97.12  Resimplifying inuse:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  Resimplifying clauses:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  
% 96.73/97.12  Intermediate Status:
% 96.73/97.12  Generated:    760911
% 96.73/97.12  Kept:         107171
% 96.73/97.12  Inuse:        1844
% 96.73/97.12  Deleted:      3011
% 96.73/97.12  Deletedinuse: 97
% 96.73/97.12  
% 96.73/97.12  Resimplifying inuse:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  
% 96.73/97.12  Intermediate Status:
% 96.73/97.12  Generated:    807052
% 96.73/97.12  Kept:         113107
% 96.73/97.12  Inuse:        1854
% 96.73/97.12  Deleted:      3013
% 96.73/97.12  Deletedinuse: 99
% 96.73/97.12  
% 96.73/97.12  Resimplifying inuse:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  
% 96.73/97.12  Intermediate Status:
% 96.73/97.12  Generated:    852665
% 96.73/97.12  Kept:         118727
% 96.73/97.12  Inuse:        1859
% 96.73/97.12  Deleted:      3016
% 96.73/97.12  Deletedinuse: 102
% 96.73/97.12  
% 96.73/97.12  Resimplifying inuse:
% 96.73/97.12  Done
% 96.73/97.12  
% 96.73/97.12  
% 96.73/97.12  Intermediate Status:
% 233.48/233.97  Generated:    868707
% 233.48/233.97  Kept:         121627
% 233.48/233.97  Inuse:        1864
% 233.48/233.97  Deleted:      3017
% 233.48/233.97  Deletedinuse: 103
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    882465
% 233.48/233.97  Kept:         125545
% 233.48/233.97  Inuse:        1865
% 233.48/233.97  Deleted:      3019
% 233.48/233.97  Deletedinuse: 105
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying clauses:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    900096
% 233.48/233.97  Kept:         128689
% 233.48/233.97  Inuse:        1869
% 233.48/233.97  Deleted:      4133
% 233.48/233.97  Deletedinuse: 105
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    906117
% 233.48/233.97  Kept:         130736
% 233.48/233.97  Inuse:        1879
% 233.48/233.97  Deleted:      4158
% 233.48/233.97  Deletedinuse: 110
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    930836
% 233.48/233.97  Kept:         134115
% 233.48/233.97  Inuse:        1893
% 233.48/233.97  Deleted:      4217
% 233.48/233.97  Deletedinuse: 153
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    950681
% 233.48/233.97  Kept:         136997
% 233.48/233.97  Inuse:        1907
% 233.48/233.97  Deleted:      4224
% 233.48/233.97  Deletedinuse: 154
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    971655
% 233.48/233.97  Kept:         139327
% 233.48/233.97  Inuse:        1916
% 233.48/233.97  Deleted:      4226
% 233.48/233.97  Deletedinuse: 155
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    993509
% 233.48/233.97  Kept:         141979
% 233.48/233.97  Inuse:        1922
% 233.48/233.97  Deleted:      4238
% 233.48/233.97  Deletedinuse: 158
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    1030837
% 233.48/233.97  Kept:         147057
% 233.48/233.97  Inuse:        1930
% 233.48/233.97  Deleted:      4240
% 233.48/233.97  Deletedinuse: 158
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying clauses:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    1167224
% 233.48/233.97  Kept:         149073
% 233.48/233.97  Inuse:        2026
% 233.48/233.97  Deleted:      8287
% 233.48/233.97  Deletedinuse: 165
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    1264085
% 233.48/233.97  Kept:         153671
% 233.48/233.97  Inuse:        2050
% 233.48/233.97  Deleted:      8290
% 233.48/233.97  Deletedinuse: 168
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    1539120
% 233.48/233.97  Kept:         155673
% 233.48/233.97  Inuse:        2234
% 233.48/233.97  Deleted:      8507
% 233.48/233.97  Deletedinuse: 174
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    1619425
% 233.48/233.97  Kept:         157703
% 233.48/233.97  Inuse:        2359
% 233.48/233.97  Deleted:      8517
% 233.48/233.97  Deletedinuse: 176
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    1748393
% 233.48/233.97  Kept:         159720
% 233.48/233.97  Inuse:        2511
% 233.48/233.97  Deleted:      8576
% 233.48/233.97  Deletedinuse: 178
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    1802448
% 233.48/233.97  Kept:         162185
% 233.48/233.97  Inuse:        2544
% 233.48/233.97  Deleted:      8602
% 233.48/233.97  Deletedinuse: 179
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    1983129
% 233.48/233.97  Kept:         164310
% 233.48/233.97  Inuse:        2715
% 233.48/233.97  Deleted:      8718
% 233.48/233.97  Deletedinuse: 182
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    2255059
% 233.48/233.97  Kept:         166319
% 233.48/233.97  Inuse:        2934
% 233.48/233.97  Deleted:      8774
% 233.48/233.97  Deletedinuse: 185
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying clauses:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    2384751
% 233.48/233.97  Kept:         168366
% 233.48/233.97  Inuse:        3060
% 233.48/233.97  Deleted:      17443
% 233.48/233.97  Deletedinuse: 187
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    2549364
% 233.48/233.97  Kept:         170372
% 233.48/233.97  Inuse:        3219
% 233.48/233.97  Deleted:      17453
% 233.48/233.97  Deletedinuse: 194
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    2654074
% 233.48/233.97  Kept:         172377
% 233.48/233.97  Inuse:        3349
% 233.48/233.97  Deleted:      17456
% 233.48/233.97  Deletedinuse: 197
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    2978328
% 233.48/233.97  Kept:         174386
% 233.48/233.97  Inuse:        3501
% 233.48/233.97  Deleted:      17471
% 233.48/233.97  Deletedinuse: 209
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    3173950
% 233.48/233.97  Kept:         176419
% 233.48/233.97  Inuse:        3689
% 233.48/233.97  Deleted:      17478
% 233.48/233.97  Deletedinuse: 215
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    3578519
% 233.48/233.97  Kept:         178430
% 233.48/233.97  Inuse:        3840
% 233.48/233.97  Deleted:      17497
% 233.48/233.97  Deletedinuse: 234
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  Resimplifying inuse:
% 233.48/233.97  Done
% 233.48/233.97  
% 233.48/233.97  
% 233.48/233.97  Intermediate Status:
% 233.48/233.97  Generated:    3829322
% 233.48/233.97  Kept:         180434
% 233.48/233.97  Inuse:        4053
% 233.48/233.97  Deleted:      17507
% 233.48/233.97  DeletedCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------