TSTP Solution File: SCT095-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SCT095-1 : 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 21:01:11 EDT 2022

% Result   : Timeout 300.04s 300.45s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SCT095-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Sat Jul  2 04:10:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.88/1.23  *** allocated 10000 integers for termspace/termends
% 0.88/1.23  *** allocated 10000 integers for clauses
% 0.88/1.23  *** allocated 10000 integers for justifications
% 0.88/1.23  *** allocated 15000 integers for termspace/termends
% 0.88/1.23  *** allocated 22500 integers for termspace/termends
% 0.88/1.23  Bliksem 1.12
% 0.88/1.23  
% 0.88/1.23  
% 0.88/1.23  Automatic Strategy Selection
% 0.88/1.23  
% 0.88/1.23  Clauses:
% 0.88/1.23  [
% 0.88/1.23     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.23     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.23    'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.23     ],
% 0.88/1.23     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.23    'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.23     ],
% 0.88/1.23     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.23    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 0.88/1.23    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 0.88/1.23    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 0.88/1.23    'c_lessequals'( Y, Z, X ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.23    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 0.88/1.23    'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.23     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.23    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.23    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.23    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.23     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.88/1.23    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.23     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.23    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.23     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.23    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.23    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.23    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.23    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.23    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.88/1.23    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.23    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.23     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.23    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.88/1.23    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.23    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.23    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.23     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.23    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.23    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X, 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.24    'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.88/1.24    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.88/1.24    Y, Z ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OField'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T, 
% 0.88/1.24    'tc_prod'( Z, Z ) ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 'c_Relation_OField'( T, Z ), 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OField'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), 
% 0.88/1.24    'c_Relation_OField'( X, Y ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, 
% 0.88/1.24    Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Product__Type_OSigma'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.24    , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.88/1.24    'c_in'( Y, X, T ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.88/1.24    , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24    , T, X ) ) ), =( Z, T ) ],
% 0.88/1.24     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24    , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OImage'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.88/1.24    'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U, 
% 0.88/1.24    Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.88/1.24    'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ), 
% 0.88/1.24    'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ), 
% 0.88/1.24    'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ), 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), X ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.88/1.24    , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.88/1.24    'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.88/1.24     ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.88/1.24     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.24     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.88/1.24    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.24     ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24    , X ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, 
% 0.88/1.24    Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.24    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.88/1.24    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y, 
% 0.88/1.24    Z, 'tc_nat' ) ) ],
% 0.88/1.24     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.88/1.24    Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 0.88/1.24    Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X, 
% 0.88/1.24    Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ), 
% 0.88/1.24    ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.24    'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.24    Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.88/1.24    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.88/1.24    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.24    , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24     [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.24    , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( 
% 0.88/1.24    Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.24    'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ), Y, X ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.24    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24     ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Relation_OImage'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.88/1.24    'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.24     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.24    , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'( 
% 0.88/1.24    'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.88/1.24    , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.24     [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'( 
% 0.88/1.24    Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 
% 0.88/1.24    'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.88/1.24    X, 'tc_bool' ) ), Y ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), X ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( 
% 0.88/1.24    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.88/1.24    'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.88/1.24     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.24    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.88/1.24    , Y, 'tc_nat' ) ) ],
% 0.88/1.24     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.88/1.24    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.24    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.24    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.24    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.88/1.24    'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.88/1.24    'c_lessequals'( Y, Z, X ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.88/1.24    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.24     ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.24     ],
% 0.88/1.24     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.24    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24     ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.24    'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.88/1.24    , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.88/1.24    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.24    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.24    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.24    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.24    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.24    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_Oconverse'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.88/1.24    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X, 
% 0.88/1.24    Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ), 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.24    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.88/1.24    'c_in'( Y, X, T ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.24    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'( 
% 0.88/1.24    T, X, Z ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.24    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.24    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.88/1.24     [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 
% 0.88/1.24    'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.88/1.24     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.24    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.24     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.24    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.24     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_Orel__comp'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.88/1.24    Z, T ), 'tc_bool' ) ), U, Z, T, W ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.24    , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_Orel__comp'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.24    T, U ), 'tc_bool' ) ), W, T, U ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.24    , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'( 
% 0.88/1.24    'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OField'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OField'( X, Z )
% 0.88/1.24    , 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.88/1.24    , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.88/1.24    Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.24    , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.24    , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.24    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    Z, T, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.24    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    T, Z, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.88/1.24    'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.88/1.24    'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.24    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    Z, T, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.24    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    T, Z, X ), X ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OField'( 'v_r', 't_a' ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( 'v_r'
% 0.88/1.24    , 't_a', 't_a' ), 'c_Relation_ORange'( 'v_r', 't_a', 't_a' ), 'tc_fun'( 
% 0.88/1.24    't_a', 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.24     [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.88/1.24    , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.88/1.24    , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24     ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.88/1.24     ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.24    'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.24    Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.88/1.24    hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.88/1.24    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.88/1.24    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.24    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, 
% 0.88/1.24    W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.88/1.24     ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T, 
% 0.88/1.24    U, W ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( 
% 0.88/1.24    'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.88/1.24    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.88/1.24    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.88/1.24    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.88/1.24    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.88/1.24    , T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.88/1.24    , T ) ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.88/1.24    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.88/1.24     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.88/1.24    , X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.88/1.24    , X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.88/1.24    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.24    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.24    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.24    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.88/1.24    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.24     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.88/1.24    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.24     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.88/1.24    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.88/1.24    'tc_nat' ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.88/1.24    'tc_nat' ) ) ],
% 0.88/1.24     [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.88/1.24    'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.88/1.24    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( 
% 0.88/1.24    'c_in'( X, Y, Z ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.88/1.24    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.88/1.24    , Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.88/1.24    , Y, T, T ), Z, 'tc_prod'( T, T ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 
% 0.88/1.24    'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'( Z, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z, 
% 0.88/1.24    T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.88/1.24     ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U, 
% 0.88/1.24    U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.24    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.88/1.24    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.24    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.24    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.24    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.24    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.88/1.24    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.24    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 
% 0.88/1.24    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( X, Y ), ~( 
% 0.88/1.24    'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.24     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( X, T, Z ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Relation_OField'( X, Y ), 'c_Relation_OField'( Z, Y
% 0.88/1.24     ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z, 
% 0.88/1.24    T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.24     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), X ) ],
% 0.88/1.24     [ =( 'c_Relation_OField'( X, Y ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 0.88/1.24    , Y ), 'c_Relation_ORange'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.24    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.88/1.24    Y, X ), Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.24    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    T, X ), Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.24    'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.88/1.24    'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.24    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.88/1.24    Y, X ), Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.88/1.24    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.88/1.24    T, X ), Z, X ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.88/1.24     ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.88/1.24     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.24    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.88/1.24    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.88/1.24     ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.88/1.24     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.88/1.24    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.88/1.24    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~( 
% 0.88/1.24    'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.88/1.24     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.88/1.24     ],
% 0.88/1.24     [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~( 
% 0.88/1.24    'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T, 
% 0.88/1.24    'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.88/1.24    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.24    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'( 
% 0.88/1.24    T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.24    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.24    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.88/1.24    Z, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.88/1.24    T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.88/1.24    hAPP( X, T ) ) ) ],
% 0.88/1.24     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.88/1.24    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.88/1.24    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.88/1.24    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.24     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.88/1.24    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.88/1.24    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'( 
% 0.88/1.24    U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W, 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.88/1.24    'c_lessequals'( Z, Y, X ) ],
% 0.88/1.24     [ 'c_Relation_Oirrefl'( X, Y ), ~( 
% 0.88/1.24    'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T, 
% 0.88/1.24    'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 
% 0.88/1.24    'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z, 
% 0.88/1.24    T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( 
% 0.88/1.24    X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 0.88/1.24     ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U, U ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.88/1.24    =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ) ), ~( 
% 0.88/1.24    'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X, 
% 0.88/1.24    Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.88/1.24     ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, 
% 0.88/1.24    Y, Z ), X, Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( 
% 0.88/1.24    Y, Z ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 
% 0.88/1.24    'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z
% 0.88/1.24    , T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U
% 0.88/1.24     ), U ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y
% 0.88/1.24    , Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T
% 0.88/1.24    , U ), U ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.24    T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.24    T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( 
% 0.88/1.24    Z, Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 
% 0.88/1.24    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T
% 0.88/1.24    , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ), 
% 0.88/1.24    ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    Y, 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ), 
% 0.88/1.24    'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), 
% 0.88/1.24    'c_Wellfounded_Oacc'( X, Z ), Z ) ) ), hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Wellfounded_Oacc'( X, Z ), Z ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( Y
% 0.88/1.24    , 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z )
% 0.88/1.24    , 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ), 
% 0.88/1.24    'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.24    , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.88/1.24    'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'( 
% 0.88/1.24    Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.24    , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ), 
% 0.88/1.24    'tc_bool' ) ), Z ) ) ],
% 0.88/1.24     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'( 
% 0.88/1.24    Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.88/1.24     ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.88/1.24     ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'( 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ), 
% 0.88/1.24    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.88/1.24    'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), 
% 0.88/1.24    ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.24     ) ), Y ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.88/1.24    'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.88/1.24    ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ), 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ), 
% 0.88/1.24    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.88/1.24    , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.88/1.24    , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X, 
% 0.88/1.24    'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.88/1.24     [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.88/1.24    'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), 
% 0.88/1.24    ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z, 
% 0.88/1.24    T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, 
% 0.88/1.24    Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), 't_a', 
% 0.88/1.24    't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 
% 0.88/1.24    't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' )
% 0.88/1.24    , 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' )
% 0.88/1.24     ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z, 
% 0.88/1.24    T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y
% 0.88/1.24    , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), Y, 't_a', 
% 0.88/1.24    't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 
% 0.88/1.24    't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'( 
% 0.88/1.24    X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 
% 0.88/1.24    'tc_prod'( U, U ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.88/1.24    , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.88/1.24    , =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( 
% 0.88/1.24    X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T
% 0.88/1.24    , U ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U )
% 0.88/1.24    , U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( Z, 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U
% 0.88/1.24    , U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, 
% 0.88/1.24    U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) )
% 0.88/1.24     ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ), 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z, 
% 0.88/1.24    Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( 
% 0.88/1.24    Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.88/1.24     ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.88/1.24    , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( 
% 0.88/1.24    T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) )
% 0.88/1.24     ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ), 
% 0.88/1.24    T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T
% 0.88/1.24     ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), 't_a', 't_a'
% 0.88/1.24     ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.88/1.24     ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 
% 0.88/1.24    't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Oacyclic'( Z, Y ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ), 
% 0.88/1.24    Y, T, T ), Z, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T
% 0.88/1.24     ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ), 
% 0.88/1.24    T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ), 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 
% 0.88/1.24    'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.88/1.24    , Z, T, T ), X, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, 
% 0.88/1.24    T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) )
% 0.88/1.24     ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.88/1.24    , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Z
% 0.88/1.24    , T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, 
% 0.88/1.24    T ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), Y, 't_a', 
% 0.88/1.24    't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.24    , 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.88/1.24     ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W, 
% 0.88/1.24    V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    X, Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W
% 0.88/1.24     ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W, 
% 0.88/1.24    V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), 
% 0.88/1.24    'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U, 
% 0.88/1.24    'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.88/1.24    , Z, T ), Z ) ) ],
% 0.88/1.24     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.88/1.24    ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.88/1.24     [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U, 
% 0.88/1.24    'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U, 
% 0.88/1.24    Z, T ), T ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ), 
% 0.88/1.24    'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ), 
% 0.88/1.24    'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z
% 0.88/1.24     ), X, Z ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 
% 0.88/1.24    'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, 
% 0.88/1.24    Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.88/1.24    , ~( hBOOL( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.88/1.24     ), hBOOL( 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W
% 0.88/1.24    , Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.88/1.24     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ), 
% 0.88/1.24    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'( 
% 0.88/1.24    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.24    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ), 
% 0.88/1.24    'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, 
% 0.88/1.24    Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.88/1.24    , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 
% 0.88/1.24    'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'( 
% 0.88/1.24    'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.88/1.24     [ 'c_Relation_Oirrefl'( X, Y ), hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), 
% 0.88/1.24    'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X, 
% 0.88/1.24    'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OImage'( X, 
% 0.88/1.24    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.88/1.24    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.88/1.24    'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'( 
% 0.88/1.24    'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.88/1.24     [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL( 
% 0.88/1.24    'c_in'( Z, W, V0 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0
% 0.88/1.24    , T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'( 
% 0.88/1.24    Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~( 
% 0.88/1.24    'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Wellfounded_Omlex__prod'( T
% 0.88/1.24    , U, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z )
% 0.88/1.24    , U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_lessequals'( hAPP( T, X ), hAPP( T, Y
% 0.88/1.24     ), 'tc_nat' ) ) ],
% 0.88/1.24     [ 'c_Nitpick_Orefl_H'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), 
% 0.88/1.24    'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X, 
% 0.88/1.24    'tc_prod'( Y, Y ) ) ) ) ],
% 0.88/1.24     [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~( 
% 0.88/1.24    'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ), 
% 0.88/1.24    ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.88/1.24    , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z, 
% 0.88/1.24    Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( 
% 0.88/1.24    X, Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y
% 0.88/1.24    , 'c_Relation_OImage'( Z, X, T, U ), U ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 0.88/1.24    , U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( 
% 0.88/1.24    Z, X, T, U ), U ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y, 
% 0.88/1.24    'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T
% 0.88/1.24     ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.88/1.24    , Y, 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y
% 0.88/1.24    , Z, T ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.88/1.24    , Z ), X, 'tc_prod'( Z, Z ) ) ), hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( 
% 0.88/1.24    X, Z ), Z ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( 
% 0.88/1.24    X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 0.88/1.24     ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 0.88/1.24     ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 
% 0.88/1.24    't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, 
% 0.88/1.24    'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T, 
% 0.88/1.24    'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 
% 0.88/1.24    't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 
% 0.88/1.24    't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, 
% 0.88/1.24    'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T, 
% 0.88/1.24    'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 0.88/1.24    , U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 
% 0.88/1.24    'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T, 
% 0.88/1.24    'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( 
% 0.88/1.24    X, Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.24    'c_Relation_ORange'( Y, T, Z ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 0.88/1.24     ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y
% 0.88/1.24    , T, Z ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.88/1.24    , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) )
% 0.88/1.24    , ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ), 
% 0.88/1.24    Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.88/1.24     ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.88/1.24    , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 
% 0.88/1.24    'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ), 
% 0.88/1.24    'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.88/1.24    , ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ), 
% 0.88/1.24    ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~( 
% 0.88/1.24    'c_Equiv__Relations_Oequiv'( U, Z, Y ) ) ],
% 0.88/1.24     [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ), 
% 0.88/1.24    'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.88/1.24     ), ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~( 
% 0.88/1.24    'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), hBOOL( 'c_in'( 'c_Pair'( X, T, 
% 0.88/1.24    Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.24     [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 
% 0.88/1.24    'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.24     ), ~( hBOOL( 'c_in'( T, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( Y, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( 'c_Relation_Oantisym'( 
% 0.88/1.24    X, Z ) ), ~( 'c_Relation_Orefl__on'( 'c_Relation_OField'( X, Z ), X, Z )
% 0.88/1.24     ), =( Y, T ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 
% 0.88/1.24    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.88/1.24     ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( U, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.88/1.24    'c_Relation_OImage'( T, 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T
% 0.88/1.24    , Z ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.24    , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ), 
% 0.88/1.24    ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.24    , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ), 
% 0.88/1.24    ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ), 
% 0.88/1.24    U ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( Y, 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ), 
% 0.88/1.24    T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T
% 0.88/1.24    , Y, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.88/1.24     [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.88/1.24     ],
% 0.88/1.24     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.88/1.24     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.88/1.24    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.88/1.24     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.24    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.88/1.24     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.24    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.88/1.24     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.24    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.24     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.24    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.88/1.24    X, T ), Y ) ) ) ],
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.88/1.24    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.88/1.24     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.88/1.24    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.88/1.24    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.88/1.24     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.24    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.88/1.24    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.88/1.24     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    X, Z, T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    X, Z, T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, 
% 0.88/1.24    'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.88/1.24     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.88/1.24    hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.88/1.24     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.24     ), ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 
% 0.88/1.24    'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'( Y, T, 
% 0.88/1.24    Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.24    , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ), 
% 0.88/1.24    ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 
% 0.88/1.24    'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.24     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.24     ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( T, U, Z ) ) ), 
% 0.88/1.24    ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.88/1.24     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.88/1.24    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.24     ), hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( T, U, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) )
% 0.88/1.24     ],
% 0.88/1.24     [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), hBOOL( 
% 0.88/1.24    'c_in'( X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ) ), hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.88/1.24    , 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.88/1.24    , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, 
% 0.88/1.24    Z ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 
% 0.88/1.24    'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( 
% 0.88/1.24    Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( 
% 0.88/1.24    Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.24    T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.88/1.24    'tc_prod'( Z, Z ) ) ) ), =( X, Y ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, 
% 0.88/1.24    Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.88/1.24    , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.24    , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.88/1.24    'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.88/1.24    , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'( 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ), 
% 0.88/1.24    ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'( 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) )
% 0.88/1.24     ],
% 0.88/1.24     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.24     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.88/1.24    'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.88/1.24     [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~( 
% 0.88/1.24    'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~( 
% 0.88/1.24    'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'( 
% 0.88/1.24    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.88/1.24    'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.24     ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.24     [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X, 
% 0.88/1.24    'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.88/1.24     [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~( 
% 0.88/1.24    'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.88/1.24     [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~( 
% 0.88/1.24    'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ), 
% 0.88/1.24    ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 
% 0.88/1.24    'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.88/1.24     [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.88/1.24     [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X, 
% 0.88/1.24    Y ) ],
% 0.88/1.24     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.24     ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.88/1.24    , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ), 
% 0.88/1.24    'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.88/1.24     [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.24     [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.24     [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.24     ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.88/1.24    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.24     [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.88/1.24    'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'( 
% 0.88/1.24    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.88/1.24    'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ), 
% 0.88/1.24    'c_Relation_OId'( X ) ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.24    , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.88/1.24    'tc_bool' ) ) ) ],
% 0.88/1.24     [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.88/1.24    W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.88/1.24    , T, U, V0 ), Z, T, V0 ) ) ],
% 0.88/1.24     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T, 
% 0.88/1.24    T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.88/1.24    , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.88/1.24    , Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.88/1.24    'c_Relation_Otrans'( X, Z ) ) ],
% 0.88/1.24     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 0.88/1.24    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.88/1.24    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.24     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ), 
% 0.88/1.24    'c_Relation_OId__on'( X, Y ) ) ],
% 0.88/1.24     [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.88/1.24    , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.88/1.24    , Y ), X, Y ) ],
% 0.88/1.24     [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omlex__prod'( X, Y, Z ), Z ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.88/1.24     [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.88/1.24    'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.88/1.24     [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.88/1.24    , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~( 
% 0.88/1.24    'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.88/1.24     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.88/1.24    X ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.24     [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.88/1.24    , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( 
% 0.88/1.24    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.88/1.24    'c_Relation_Oantisym'( X, Y ) ) ],
% 0.88/1.24     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.24     ) ), Y ) ) ) ],
% 0.88/1.24     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X, 
% 0.88/1.24    Y, Z ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.88/1.24    , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.88/1.24    Y, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.88/1.24    'tc_bool' ) ), Y, X ) ],
% 0.88/1.24     [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.88/1.24     ],
% 0.88/1.24     [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.88/1.24    'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.88/1.24    , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.88/1.24     [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'( 
% 0.88/1.24    'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.88/1.24     [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X, 
% 0.88/1.24    'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.88/1.24     [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), 
% 0.88/1.24    ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.88/1.24     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.88/1.24     ) ],
% 0.88/1.24     [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omeasure'( X, Y ), Y ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.24     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 0.88/1.24    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.24     [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, 
% 0.88/1.24    U ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U )
% 0.88/1.24     ) ) ), ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.88/1.24     [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z
% 0.88/1.24    , T, U ), X, 'tc_prod'( T, U ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 
% 0.88/1.24    'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    'c_Relation_Otrans'( T, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    'c_Relation_Otrans'( T, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.88/1.24     ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 
% 0.88/1.24    'tc_prod'( T, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.88/1.24     ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 
% 0.88/1.24    'tc_prod'( T, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T )
% 0.88/1.24    , 'tc_prod'( T, Z ) ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ), 
% 0.88/1.24    ~( 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.24    T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.24    , 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.24    , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 
% 0.88/1.24    'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.24    , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 
% 0.88/1.24    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), 
% 0.88/1.24    ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.24     [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, 
% 0.88/1.24    Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.88/1.24     ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.88/1.24     [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, 
% 0.88/1.24    Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.88/1.24     ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.88/1.24     [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, 
% 0.88/1.24    T ), U, 'tc_prod'( T, T ) ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X
% 0.88/1.24    , T, W ) ) ],
% 0.88/1.24     [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.88/1.24    'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.88/1.24     ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V0
% 0.88/1.24    , Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( 
% 0.88/1.24    Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 
% 0.88/1.24    'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ), 
% 0.88/1.24    ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U
% 0.88/1.24    , W, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( hAPP( U, X )
% 0.88/1.24    , hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 
% 0.88/1.24    'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, W, W ), 
% 0.88/1.24    'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    'c_Relation_Osym'( T, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    'c_Relation_Osym'( T, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, 
% 0.88/1.24    Z, V0, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V1, Y, V0
% 0.88/1.24    , T ), W, 'tc_prod'( V0, T ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, V1, Z
% 0.88/1.24    , V0 ), U, 'tc_prod'( Z, V0 ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.24    T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 
% 0.88/1.24    'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.88/1.24    T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.88/1.24    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.88/1.24    , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 
% 0.88/1.24    'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 
% 0.88/1.24    'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.24     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.88/1.24    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.88/1.24     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.88/1.24    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.88/1.24     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.88/1.24     ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.88/1.24    't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ), =( X, Y ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.88/1.24    , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.88/1.24     ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.88/1.24    , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.88/1.24     ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( W, Z, T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( W, Z, T ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ), 
% 0.88/1.24    'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ), 
% 0.88/1.24    'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ), 
% 0.88/1.24    U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ), 
% 0.88/1.24    U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, 
% 0.88/1.24    X, U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, U ), 
% 0.88/1.24    'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), hBOOL( 
% 0.88/1.24    'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), =( Y, X ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( X, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 
% 0.88/1.24    'c_Relation_Ototal__on'( U, T, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ), 
% 0.88/1.24    U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ), 
% 0.88/1.24    U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Wellfounded_Omlex__prod'( T
% 0.88/1.24    , U, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( T, X
% 0.88/1.24     ), hAPP( T, Y ), 'tc_nat' ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Wellfounded_Omeasure'( T, Z
% 0.88/1.24     ), 'tc_prod'( Z, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( T, X ), 
% 0.88/1.24    hAPP( T, Y ), 'tc_nat' ) ) ],
% 0.88/1.24     [ 'c_HOL_Oord__class_Oless'( hAPP( X, Y ), hAPP( X, Z ), 'tc_nat' ), ~( 
% 0.88/1.24    hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Wellfounded_Omeasure'( X, T ), 
% 0.88/1.24    'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.24    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.24    , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.88/1.24    , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( X, T ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.24    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.24    , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.88/1.24    , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.24     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.24    Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.24    Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.24     ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.88/1.24     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.88/1.24     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 0.88/1.24    'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.88/1.24     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24     ) ],
% 0.88/1.24     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.24     ), =( Z, Y ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ), =( Y, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omktop'( Z, T ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24    , Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24    , Y, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.24    , X ) ) ],
% 0.88/1.24     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.88/1.24     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.88/1.24     [ =( X, Y ), =( Y, X ), hBOOL( 'c_in'( 'c_Pair'( X, Y, 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.24    Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.24    Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.88/1.24    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.24    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.24    , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.88/1.24    , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( Y, T ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.24    Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.24    , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, T ), =( Y, T ) ],
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.88/1.24    'tc_nat' ) ) ],
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
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% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lab____', 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'v_h____', 'v_x' ), 'v_n____', 
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% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.88/1.24    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
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% 0.88/1.24    'c_HOL_Oord__class_Oless'( hAPP( 'v_h____', 'v_x' ), 'v_n____', 'tc_nat'
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), 'c_HOL_Oord__class_Oless'( hAPP( 
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% 0.88/1.24    'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ],
% 0.88/1.24     [ hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'v_Lba____', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), 'c_HOL_Oord__class_Oless'( hAPP( 
% 0.88/1.24    'v_h____', 'v_x' ), 'v_n____', 'tc_nat' ), hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ), =( hAPP( 'v_h____', 'v_x' ), 'v_n____' ), 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    hAPP( 'v_h____', 'v_x' ), 'v_n____', 'tc_nat' ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    hAPP( 'v_h____', 'v_x' ), 'v_n____', 'tc_nat' ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), =( hAPP( 'v_h____', 'v_x' ), 'v_n____' ), 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    hAPP( 'v_h____', 'v_x' ), 'v_n____', 'tc_nat' ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lab____', 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.88/1.24    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( hAPP( 'v_h____', 'v_x' ), 
% 0.88/1.24    'v_n____' ), 'c_HOL_Oord__class_Oless'( hAPP( 'v_h____', 'v_x' ), 
% 0.88/1.24    'v_n____', 'tc_nat' ) ],
% 0.88/1.24     [ ~( =( hAPP( 'v_h____', 'v_x' ), 'v_n____' ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), 'c_HOL_Oord__class_Oless'( hAPP( 'v_h____', 'v_x' ), 'v_n____', 
% 0.88/1.24    'tc_nat' ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
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% 0.88/1.24    'v_Lba____', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    hAPP( 'v_h____', 'v_x' ), 'v_n____', 'tc_nat' ) ],
% 0.88/1.24     [ ~( =( hAPP( 'v_h____', 'v_x' ), 'v_n____' ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
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% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.88/1.24    'tc_nat' ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
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% 0.88/1.24    'v_Lba____', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lab____', 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    hAPP( 'v_h____', 'v_x' ), 'v_n____', 'tc_nat' ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Oabove'( hAPP( 'v_P____', 'v_x' ), 'v_c____', 
% 0.88/1.24    'v_e____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    hAPP( 'v_h____', 'v_x' ), 'v_n____', 'tc_nat' ) ],
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lab____', 'tc_prod'( 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
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% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.88/1.24    'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), =( hAPP( 'v_h____', 'v_x' ), 'v_n____' ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'v_Lba____', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lab____', 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.88/1.24    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( hAPP( 'v_h____', 'v_x' ), 
% 0.88/1.24    'v_n____' ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.88/1.24    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.24     [ ~( =( hAPP( 'v_h____', 'v_x' ), 'v_n____' ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.88/1.24    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lba____', 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), 'c_HOL_Oord__class_Oless'( hAPP( 'v_h____', 'v_x' ), 'v_n____', 
% 0.88/1.24    'tc_nat' ) ],
% 0.88/1.24     [ ~( =( hAPP( 'v_h____', 'v_x' ), 'v_n____' ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.88/1.24    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    hAPP( 'v_h____', 'v_x' ), 'v_n____', 'tc_nat' ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lab____', 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( =( hAPP( 'v_h____', 'v_x' ), 'v_n____' ) ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.88/1.24    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lba____', 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'v_Lab____', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'v_Lba____', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'c_HOL_Oord__class_Oless'( 
% 0.88/1.24    hAPP( 'v_h____', 'v_x' ), 'v_n____', 'tc_nat' ), ~( hBOOL( 'c_in'( 
% 0.88/1.24    'c_Pair'( 'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Oabove'( hAPP( 'v_P____', 'v_x' ), 'v_c____', 
% 0.88/1.24    'v_e____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( 'c_HOL_Oord__class_Oless'( hAPP( 'v_h____', 'v_x' ), 'v_n____', 
% 0.88/1.24    'tc_nat' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'v_Lab____', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Oabove'( hAPP( 'v_P____', 'v_x' ), 'v_c____', 
% 0.88/1.24    'v_e____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ) ],
% 0.88/1.24     [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'v_Lba____', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lab____', 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.88/1.24    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 
% 0.88/1.24    'v_e____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'( 
% 0.88/1.24    hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'( 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.24     ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_e____', 'v_d____', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), 
% 0.88/1.24    'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.88/1.24    , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt', 
% 0.88/1.24    'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.24     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.24    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.24     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.24    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.24     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.24    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.88/1.24     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.24    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.88/1.24     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.24    'class_Orderings_Opreorder'( Y ) ) ],
% 0.88/1.24     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.24    'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.24     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.88/1.24    'class_Orderings_Oorder'( Y ) ) ],
% 0.88/1.24     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.88/1.24    Y ) ) ],
% 0.88/1.24     [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.88/1.24    ,
% 0.88/1.24     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.88/1.24     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.88/1.24     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.88/1.24     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.88/1.24     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.88/1.24     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.88/1.24     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.24     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.88/1.24     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.88/1.24     [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.88/1.24     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.88/1.24     [ 'c_fequal'( X, X, Y ) ],
% 0.88/1.24     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.88/1.24  ] .
% 0.88/1.24  
% 0.88/1.24  
% 0.88/1.24  percentage equality = 0.203148, percentage horn = 0.867987
% 0.88/1.24  This is a problem with some equality
% 0.88/1.24  
% 0.88/1.24  
% 0.88/1.24  
% 0.88/1.24  Options Used:
% 0.88/1.24  
% 0.88/1.24  useres =            1
% 0.88/1.24  useparamod =        1
% 0.88/1.24  useeqrefl =         1
% 0.88/1.24  useeqfact =         1
% 0.88/1.24  usefactor =         1
% 0.88/1.24  usesimpsplitting =  0
% 0.88/1.24  usesimpdemod =      5
% 0.88/1.24  usesimpres =        3
% 0.88/1.24  
% 0.88/1.24  resimpinuse      =  1000
% 0.88/1.24  resimpclauses =     20000
% 0.88/1.24  substype =          eqrewr
% 0.88/1.24  backwardsubs =      1
% 0.88/1.24  selectoldest =      5
% 0.88/1.24  
% 0.88/1.24  litorderings [0] =  split
% 0.88/1.24  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.88/1.24  
% 0.88/1.24  termordering =      kbo
% 0.88/1.24  
% 0.88/1.24  litapriori =        0
% 0.88/1.24  termapriori =       1
% 0.88/1.24  litaposteriori =    0
% 0.88/1.24  termaposteriori =   0
% 0.88/1.24  demodaposteriori =  0
% 0.88/1.24  ordereqreflfact =   0
% 0.88/1.24  
% 0.88/1.24  litselect =         negord
% 0.88/1.24  
% 0.88/1.24  maxweight =         15
% 0.88/1.24  maxdepth =          30000
% 0.88/1.24  maxlength =         115
% 0.88/1.24  maxnrvars =         195
% 0.88/1.24  excuselevel =       1
% 0.88/1.24  increasemaxweight = 1
% 0.88/1.24  
% 0.88/1.24  maxselected =       10000000
% 0.88/1.24  maxnrclauses =      10000000
% 0.88/1.24  
% 0.88/1.24  showgenerated =    0
% 0.88/1.24  showkept =         0
% 0.88/1.24  showselected =     0
% 0.88/1.24  showdeleted =      0
% 0.88/1.24  showresimp =       1
% 0.88/1.24  showstatus =       2000
% 0.88/1.24  
% 0.88/1.24  prologoutput =     1
% 0.88/1.24  nrgoals =          5000000
% 0.88/1.24  totalproof =       1
% 0.88/1.24  
% 0.88/1.24  Symbols occurring in the translation:
% 0.88/1.24  
% 0.88/1.24  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.88/1.24  .  [1, 2]      (w:1, o:114, a:1, s:1, b:0), 
% 0.88/1.24  !  [4, 1]      (w:0, o:88, a:1, s:1, b:0), 
% 0.88/1.24  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.24  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.88/1.24  'class_Lattices_Olattice'  [40, 1]      (w:1, o:93, a:1, s:1, b:0), 
% 0.88/1.24  'c_Lattices_Oupper__semilattice__class_Osup'  [44, 3]      (w:1, o:168, a:1
% 0.88/1.24    , s:1, b:0), 
% 0.88/1.24  'tc_bool'  [47, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 0.88/1.24  'tc_fun'  [48, 2]      (w:1, o:139, a:1, s:1, b:0), 
% 0.88/1.24  'c_Lattices_Olower__semilattice__class_Oinf'  [49, 3]      (w:1, o:169, a:1
% 0.88/1.24    , s:1, b:0), 
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% 0.88/1.24  'class_Lattices_Oupper__semilattice'  [53, 1]      (w:1, o:95, a:1, s:1, b:
% 0.88/1.24    0), 
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% 0.88/1.24  'c_Wellfounded_Owf'  [58, 2]      (w:1, o:141, a:1, s:1, b:0), 
% 0.88/1.24  'c_HOL_Ominus__class_Ominus'  [59, 3]      (w:1, o:171, a:1, s:1, b:0), 
% 0.88/1.24  'c_Transitive__Closure_Ortrancl'  [61, 2]      (w:1, o:142, a:1, s:1, b:0)
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% 0.88/1.24  'c_Pair'  [66, 4]      (w:1, o:201, a:1, s:1, b:0), 
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% 0.88/1.24  'c_Relation_Oconverse'  [68, 3]      (w:1, o:172, a:1, s:1, b:0), 
% 0.88/1.24  'c_in'  [69, 3]      (w:1, o:179, a:1, s:1, b:0), 
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% 0.88/1.24  'c_Product__Type_OSigma'  [74, 4]      (w:1, o:202, a:1, s:1, b:0), 
% 0.88/1.24  'class_OrderedGroup_Oab__group__add'  [75, 1]      (w:1, o:99, a:1, s:1, b:
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% 0.88/1.24  'c_Relation_Orel__comp'  [87, 5]      (w:1, o:219, a:1, s:1, b:0), 
% 0.88/1.24  'class_Lattices_Odistrib__lattice'  [89, 1]      (w:1, o:100, a:1, s:1, b:0
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% 0.88/1.24  'c_Relation_ODomain'  [90, 3]      (w:1, o:173, a:1, s:1, b:0), 
% 0.88/1.24  't_a'  [93, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 0.88/1.24  'v_x'  [94, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 0.88/1.24  'class_Ring__and__Field_Oordered__semidom'  [95, 1]      (w:1, o:101, a:1
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% 0.88/1.24  'c_Relation_ORange'  [100, 3]      (w:1, o:174, a:1, s:1, b:0), 
% 0.88/1.24  'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'  [101, 3]      (w:1
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% 0.88/1.24  'c_Relation_Osym'  [103, 2]      (w:1, o:147, a:1, s:1, b:0), 
% 0.88/1.24  'class_Lattices_Obounded__lattice'  [104, 1]      (w:1, o:103, a:1, s:1, b:
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% 0.88/1.24  'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'  [108, 3]      (w:1, o:
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% 0.88/1.24  'c_Relation_Ototal__on'  [110, 3]      (w:1, o:177, a:1, s:1, b:0), 
% 0.88/1.24  'c_Order__Relation_Ostrict__linear__order__on'  [111, 3]      (w:1, o:183
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% 0.88/1.24  'v_r'  [114, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 0.88/1.24  'c_Wellfounded_Oacc'  [116, 2]      (w:1, o:148, a:1, s:1, b:0), 
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% 0.88/1.24  'class_Orderings_Olinorder'  [124, 1]      (w:1, o:107, a:1, s:1, b:0), 
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% 0.88/1.24  'c_Relation_Oirrefl'  [129, 2]      (w:1, o:149, a:1, s:1, b:0), 
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% 0.88/1.24  'c_Relation_Oantisym'  [138, 2]      (w:1, o:151, a:1, s:1, b:0), 
% 0.88/1.24  'c_Relation_Osingle__valued'  [139, 3]      (w:1, o:176, a:1, s:1, b:0), 
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% 2.97/3.36  'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'  [172, 7]      (w:1
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% 2.97/3.36  'c_ATP__Linkup_Osko__Relation__XIdE__1__1'  [173, 2]      (w:1, o:157, a:1
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% 2.97/3.36  'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'  [175, 2]      (w:1, o:
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% 2.97/3.36  'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'  [176, 3]      (w:1, o:194
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% 2.97/3.36  't_b'  [177, 0]      (w:1, o:67, a:1, s:1, b:0), 
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% 2.97/3.36  'c_Wellfounded_Omlex__prod'  [181, 3]      (w:1, o:196, a:1, s:1, b:0), 
% 2.97/3.36  'c_Nitpick_Orefl_H'  [182, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 2.97/3.36  'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'  [183, 2]      (w:1, o:162
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% 2.97/3.36  'c_Wellfounded_Omeasure'  [194, 2]      (w:1, o:163, a:1, s:1, b:0), 
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% 16.43/16.84  'v_c____'  [208, 0]      (w:1, o:76, a:1, s:1, b:0), 
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% 16.43/16.84  'v_P____'  [210, 0]      (w:1, o:78, a:1, s:1, b:0), 
% 16.43/16.84  'v_n____'  [211, 0]      (w:1, o:79, a:1, s:1, b:0), 
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% 16.43/16.84  'v_e____'  [214, 0]      (w:1, o:81, a:1, s:1, b:0), 
% 16.43/16.84  'c_List_Olist_ONil'  [215, 1]      (w:1, o:113, a:1, s:1, b:0), 
% 16.43/16.84  'c_List_Olist_OCons'  [216, 3]      (w:1, o:198, a:1, s:1, b:0), 
% 16.43/16.84  'c_List_Odistinct'  [217, 2]      (w:1, o:167, a:1, s:1, b:0), 
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% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Starting Search:
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    4614
% 16.43/16.84  Kept:         2003
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% 16.43/16.84  Deletedinuse: 0
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    13151
% 16.43/16.84  Kept:         4006
% 16.43/16.84  Inuse:        365
% 16.43/16.84  Deleted:      17
% 16.43/16.84  Deletedinuse: 1
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    24440
% 16.43/16.84  Kept:         6125
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% 16.43/16.84  Deletedinuse: 24
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    35162
% 16.43/16.84  Kept:         8127
% 16.43/16.84  Inuse:        579
% 16.43/16.84  Deleted:      45
% 16.43/16.84  Deletedinuse: 24
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    44149
% 16.43/16.84  Kept:         10662
% 16.43/16.84  Inuse:        625
% 16.43/16.84  Deleted:      45
% 16.43/16.84  Deletedinuse: 24
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    52847
% 16.43/16.84  Kept:         12684
% 16.43/16.84  Inuse:        719
% 16.43/16.84  Deleted:      46
% 16.43/16.84  Deletedinuse: 24
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    61495
% 16.43/16.84  Kept:         14690
% 16.43/16.84  Inuse:        804
% 16.43/16.84  Deleted:      51
% 16.43/16.84  Deletedinuse: 27
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    73310
% 16.43/16.84  Kept:         16698
% 16.43/16.84  Inuse:        816
% 16.43/16.84  Deleted:      56
% 16.43/16.84  Deletedinuse: 31
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    86496
% 16.43/16.84  Kept:         19822
% 16.43/16.84  Inuse:        841
% 16.43/16.84  Deleted:      56
% 16.43/16.84  Deletedinuse: 31
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying clauses:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    95132
% 16.43/16.84  Kept:         21865
% 16.43/16.84  Inuse:        884
% 16.43/16.84  Deleted:      566
% 16.43/16.84  Deletedinuse: 31
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    106012
% 16.43/16.84  Kept:         24283
% 16.43/16.84  Inuse:        918
% 16.43/16.84  Deleted:      569
% 16.43/16.84  Deletedinuse: 33
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    116637
% 16.43/16.84  Kept:         27044
% 16.43/16.84  Inuse:        931
% 16.43/16.84  Deleted:      571
% 16.43/16.84  Deletedinuse: 33
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    130193
% 16.43/16.84  Kept:         29126
% 16.43/16.84  Inuse:        981
% 16.43/16.84  Deleted:      571
% 16.43/16.84  Deletedinuse: 33
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    137336
% 16.43/16.84  Kept:         31129
% 16.43/16.84  Inuse:        1002
% 16.43/16.84  Deleted:      571
% 16.43/16.84  Deletedinuse: 33
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  Resimplifying inuse:
% 16.43/16.84  Done
% 16.43/16.84  
% 16.43/16.84  
% 16.43/16.84  Intermediate Status:
% 16.43/16.84  Generated:    149690
% 16.43/16.84  Kept:         33146
% 16.43/16.84  Inuse:        1060
% 16.43/16.84  Deleted:      572
% 16.43/16.84  Deletedinuse: 34
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    163335
% 53.91/54.31  Kept:         35829
% 53.91/54.31  Inuse:        1091
% 53.91/54.31  Deleted:      573
% 53.91/54.31  Deletedinuse: 35
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    171004
% 53.91/54.31  Kept:         37831
% 53.91/54.31  Inuse:        1144
% 53.91/54.31  Deleted:      573
% 53.91/54.31  Deletedinuse: 35
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    177547
% 53.91/54.31  Kept:         39859
% 53.91/54.31  Inuse:        1195
% 53.91/54.31  Deleted:      574
% 53.91/54.31  Deletedinuse: 35
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying clauses:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    195785
% 53.91/54.31  Kept:         42032
% 53.91/54.31  Inuse:        1223
% 53.91/54.31  Deleted:      1014
% 53.91/54.31  Deletedinuse: 35
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    221455
% 53.91/54.31  Kept:         44042
% 53.91/54.31  Inuse:        1247
% 53.91/54.31  Deleted:      1014
% 53.91/54.31  Deletedinuse: 35
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    235336
% 53.91/54.31  Kept:         46061
% 53.91/54.31  Inuse:        1295
% 53.91/54.31  Deleted:      1017
% 53.91/54.31  Deletedinuse: 38
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    249595
% 53.91/54.31  Kept:         48709
% 53.91/54.31  Inuse:        1310
% 53.91/54.31  Deleted:      1018
% 53.91/54.31  Deletedinuse: 39
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    262476
% 53.91/54.31  Kept:         51207
% 53.91/54.31  Inuse:        1320
% 53.91/54.31  Deleted:      1018
% 53.91/54.31  Deletedinuse: 39
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    275069
% 53.91/54.31  Kept:         53705
% 53.91/54.31  Inuse:        1330
% 53.91/54.31  Deleted:      1018
% 53.91/54.31  Deletedinuse: 39
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    287246
% 53.91/54.31  Kept:         55709
% 53.91/54.31  Inuse:        1363
% 53.91/54.31  Deleted:      1018
% 53.91/54.31  Deletedinuse: 39
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    294138
% 53.91/54.31  Kept:         57876
% 53.91/54.31  Inuse:        1389
% 53.91/54.31  Deleted:      1019
% 53.91/54.31  Deletedinuse: 39
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    308341
% 53.91/54.31  Kept:         59913
% 53.91/54.31  Inuse:        1419
% 53.91/54.31  Deleted:      1019
% 53.91/54.31  Deletedinuse: 39
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying clauses:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    320572
% 53.91/54.31  Kept:         61944
% 53.91/54.31  Inuse:        1462
% 53.91/54.31  Deleted:      1208
% 53.91/54.31  Deletedinuse: 52
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    329348
% 53.91/54.31  Kept:         64145
% 53.91/54.31  Inuse:        1504
% 53.91/54.31  Deleted:      1208
% 53.91/54.31  Deletedinuse: 52
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    339363
% 53.91/54.31  Kept:         66241
% 53.91/54.31  Inuse:        1534
% 53.91/54.31  Deleted:      1208
% 53.91/54.31  Deletedinuse: 52
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    346895
% 53.91/54.31  Kept:         68461
% 53.91/54.31  Inuse:        1564
% 53.91/54.31  Deleted:      1208
% 53.91/54.31  Deletedinuse: 52
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    364567
% 53.91/54.31  Kept:         70617
% 53.91/54.31  Inuse:        1582
% 53.91/54.31  Deleted:      1218
% 53.91/54.31  Deletedinuse: 60
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    380733
% 53.91/54.31  Kept:         72651
% 53.91/54.31  Inuse:        1590
% 53.91/54.31  Deleted:      1220
% 53.91/54.31  Deletedinuse: 60
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    391426
% 53.91/54.31  Kept:         74723
% 53.91/54.31  Inuse:        1600
% 53.91/54.31  Deleted:      1220
% 53.91/54.31  Deletedinuse: 60
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    398720
% 53.91/54.31  Kept:         76743
% 53.91/54.31  Inuse:        1623
% 53.91/54.31  Deleted:      1221
% 53.91/54.31  Deletedinuse: 61
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    410095
% 53.91/54.31  Kept:         79594
% 53.91/54.31  Inuse:        1625
% 53.91/54.31  Deleted:      1221
% 53.91/54.31  Deletedinuse: 61
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    447679
% 53.91/54.31  Kept:         85003
% 53.91/54.31  Inuse:        1630
% 53.91/54.31  Deleted:      1222
% 53.91/54.31  Deletedinuse: 62
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying clauses:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    487370
% 53.91/54.31  Kept:         90488
% 53.91/54.31  Inuse:        1635
% 53.91/54.31  Deleted:      1903
% 53.91/54.31  Deletedinuse: 62
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    500306
% 53.91/54.31  Kept:         93414
% 53.91/54.31  Inuse:        1640
% 53.91/54.31  Deleted:      1903
% 53.91/54.31  Deletedinuse: 62
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  Resimplifying inuse:
% 53.91/54.31  Done
% 53.91/54.31  
% 53.91/54.31  
% 53.91/54.31  Intermediate Status:
% 53.91/54.31  Generated:    517067
% 53.91/54.31  Kept:         95441
% 53.91/54.31  Inuse:        1655
% 53.91/54.31  Deleted:      1903
% 206.92/207.34  Deletedinuse: 62
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    531838
% 206.92/207.34  Kept:         98592
% 206.92/207.34  Inuse:        1665
% 206.92/207.34  Deleted:      1903
% 206.92/207.34  Deletedinuse: 62
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    550649
% 206.92/207.34  Kept:         100786
% 206.92/207.34  Inuse:        1675
% 206.92/207.34  Deleted:      1904
% 206.92/207.34  Deletedinuse: 63
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    564818
% 206.92/207.34  Kept:         103796
% 206.92/207.34  Inuse:        1680
% 206.92/207.34  Deleted:      1904
% 206.92/207.34  Deletedinuse: 63
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying clauses:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    574826
% 206.92/207.34  Kept:         106155
% 206.92/207.34  Inuse:        1705
% 206.92/207.34  Deleted:      1998
% 206.92/207.34  Deletedinuse: 65
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    589246
% 206.92/207.34  Kept:         109238
% 206.92/207.34  Inuse:        1710
% 206.92/207.34  Deleted:      1998
% 206.92/207.34  Deletedinuse: 65
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    598000
% 206.92/207.34  Kept:         111377
% 206.92/207.34  Inuse:        1730
% 206.92/207.34  Deleted:      1999
% 206.92/207.34  Deletedinuse: 66
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    611015
% 206.92/207.34  Kept:         113534
% 206.92/207.34  Inuse:        1779
% 206.92/207.34  Deleted:      2001
% 206.92/207.34  Deletedinuse: 67
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    633038
% 206.92/207.34  Kept:         116756
% 206.92/207.34  Inuse:        1801
% 206.92/207.34  Deleted:      2004
% 206.92/207.34  Deletedinuse: 67
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    654970
% 206.92/207.34  Kept:         118760
% 206.92/207.34  Inuse:        1826
% 206.92/207.34  Deleted:      2005
% 206.92/207.34  Deletedinuse: 67
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    680615
% 206.92/207.34  Kept:         121719
% 206.92/207.34  Inuse:        1860
% 206.92/207.34  Deleted:      2005
% 206.92/207.34  Deletedinuse: 67
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    692551
% 206.92/207.34  Kept:         123871
% 206.92/207.34  Inuse:        1885
% 206.92/207.34  Deleted:      2007
% 206.92/207.34  Deletedinuse: 69
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying clauses:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    700787
% 206.92/207.34  Kept:         125964
% 206.92/207.34  Inuse:        1905
% 206.92/207.34  Deleted:      2484
% 206.92/207.34  Deletedinuse: 70
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    708796
% 206.92/207.34  Kept:         127978
% 206.92/207.34  Inuse:        1922
% 206.92/207.34  Deleted:      2484
% 206.92/207.34  Deletedinuse: 70
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    727809
% 206.92/207.34  Kept:         130275
% 206.92/207.34  Inuse:        1935
% 206.92/207.34  Deleted:      2484
% 206.92/207.34  Deletedinuse: 70
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    744729
% 206.92/207.34  Kept:         134100
% 206.92/207.34  Inuse:        1945
% 206.92/207.34  Deleted:      2487
% 206.92/207.34  Deletedinuse: 73
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    762305
% 206.92/207.34  Kept:         137833
% 206.92/207.34  Inuse:        1955
% 206.92/207.34  Deleted:      2488
% 206.92/207.34  Deletedinuse: 74
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    770586
% 206.92/207.34  Kept:         140231
% 206.92/207.34  Inuse:        1980
% 206.92/207.34  Deleted:      2491
% 206.92/207.34  Deletedinuse: 77
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    782120
% 206.92/207.34  Kept:         142404
% 206.92/207.34  Inuse:        2000
% 206.92/207.34  Deleted:      2491
% 206.92/207.34  Deletedinuse: 77
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    801642
% 206.92/207.34  Kept:         146356
% 206.92/207.34  Inuse:        2015
% 206.92/207.34  Deleted:      2492
% 206.92/207.34  Deletedinuse: 78
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying clauses:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    809248
% 206.92/207.34  Kept:         148372
% 206.92/207.34  Inuse:        2030
% 206.92/207.34  Deleted:      2830
% 206.92/207.34  Deletedinuse: 88
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    848829
% 206.92/207.34  Kept:         150657
% 206.92/207.34  Inuse:        2039
% 206.92/207.34  Deleted:      2834
% 206.92/207.34  Deletedinuse: 92
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    875365
% 206.92/207.34  Kept:         152995
% 206.92/207.34  Inuse:        2052
% 206.92/207.34  Deleted:      2836
% 206.92/207.34  Deletedinuse: 94
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    903518
% 206.92/207.34  Kept:         155275
% 206.92/207.34  Inuse:        2060
% 206.92/207.34  Deleted:      2836
% 206.92/207.34  Deletedinuse: 94
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    932414
% 206.92/207.34  Kept:         158614
% 206.92/207.34  Inuse:        2075
% 206.92/207.34  Deleted:      2837
% 206.92/207.34  Deletedinuse: 95
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  Resimplifying inuse:
% 206.92/207.34  Done
% 206.92/207.34  
% 206.92/207.34  
% 206.92/207.34  Intermediate Status:
% 206.92/207.34  Generated:    943379
% 206.92/207.34  Kept:         160864
% 206.92/207.34  Inuse:        2095Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------