TSTP Solution File: SWV984-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV984-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:29:33 EDT 2022

% Result   : Timeout 300.03s 300.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV984-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n029.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 : Wed Jun 15 09:40:26 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.96/1.36  *** allocated 10000 integers for termspace/termends
% 0.96/1.36  *** allocated 10000 integers for clauses
% 0.96/1.36  *** allocated 10000 integers for justifications
% 0.96/1.36  *** allocated 15000 integers for termspace/termends
% 0.96/1.36  *** allocated 22500 integers for termspace/termends
% 0.96/1.36  Bliksem 1.12
% 0.96/1.36  
% 0.96/1.36  
% 0.96/1.36  Automatic Strategy Selection
% 0.96/1.36  
% 0.96/1.36  Clauses:
% 0.96/1.36  [
% 0.96/1.36     [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.96/1.36    , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( 
% 0.96/1.36    Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.96/1.36     [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U, 
% 0.96/1.36    'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.96/1.36    , Z, T ), Z ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.96/1.36    X, T ), Y ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.96/1.36    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.96/1.36     [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.36    , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.96/1.36    , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.36     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.96/1.36     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.96/1.36    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.36    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.96/1.36    , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.36     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.96/1.36     [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.36    'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.96/1.36    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.96/1.36    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Z ) ) ],
% 0.96/1.36     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.36    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.96/1.36    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.96/1.36    'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.36    'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ), 
% 0.96/1.36    ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X, 
% 0.96/1.36    Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( 
% 0.96/1.36    'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.96/1.36    Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.36    , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 
% 0.96/1.36    'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ), 
% 0.96/1.36    ~( 'c_in'( W, T, U ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.96/1.36    , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ), 
% 0.96/1.36    'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.96/1.36    'c_in'( W, Y, Z ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.96/1.36    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.36     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.96/1.36    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.96/1.36    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ), 
% 0.96/1.36    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 
% 0.96/1.36    'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.96/1.36    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 0.96/1.36    'c_in'( U, T, Z ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 
% 0.96/1.36    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.36    'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.36    'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.96/1.36    'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.96/1.36     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ =( 'c_Product__Type_OSigma'( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.36    'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.96/1.36    , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.96/1.36    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.36     ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.36    , X ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.96/1.36    , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.96/1.36    'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( 
% 0.96/1.36    'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.96/1.36    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'( 
% 0.96/1.36    X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'( 
% 0.96/1.36    'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( 
% 0.96/1.36    Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), 
% 0.96/1.36    ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.96/1.36    'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ), 
% 0.96/1.36    'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ), 
% 0.96/1.36    'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ), 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U, 
% 0.96/1.36    Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ =( 'c_Relation_OImage'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.96/1.36    'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.36    'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~( 
% 0.96/1.36    'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.36     [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.36    'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.96/1.36    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.96/1.36     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.96/1.36     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.36    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 
% 0.96/1.36    'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    Z, T ), 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.36    , T, X ) ) ), =( Y, Z ) ],
% 0.96/1.36     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.36    , T, X ) ) ), =( Z, T ) ],
% 0.96/1.36     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.96/1.36    , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.36    'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.36     ],
% 0.96/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 0.96/1.36    'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 0.96/1.36    'c_lessequals'( Y, Z, X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 0.96/1.36    'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.36    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.96/1.36    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.96/1.36    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.36    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.36    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.96/1.36    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.96/1.36    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.96/1.36    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.96/1.36     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.96/1.36     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.96/1.36    ,
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.36    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.36    Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.36    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 
% 0.96/1.36    'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.96/1.36    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.96/1.36    'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.96/1.36    'tc_bool' ) ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Relation_ODomain'( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.96/1.36    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.96/1.36    , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.36    X ) ) ],
% 0.96/1.36     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ), Y, X ), 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.96/1.36    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.36     ) ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.36    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.96/1.36    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.36     ) ],
% 0.96/1.36     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.96/1.36     ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Set_Oimage'( X, 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.36    'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.96/1.36     [ 'c_lessequals'( 'c_Relation_OImage'( X, 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.96/1.36    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.36    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.96/1.36    'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.96/1.36     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.36    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.96/1.36    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X, 
% 0.96/1.36    'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.36     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.36    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.37    'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.96/1.37    , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.96/1.37    'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.37    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.37    Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.96/1.37    , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~( 
% 0.96/1.37    'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'( 
% 0.96/1.37    T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.37    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'( 
% 0.96/1.37    'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.96/1.37    , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.96/1.37     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'( 
% 0.96/1.37    Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.96/1.37     ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.96/1.37     ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.96/1.37     [ =( 'c_Product__Type_OSigma'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.96/1.37    , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.96/1.37    'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.37    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 
% 0.96/1.37    'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.96/1.37    X, 'tc_bool' ) ), Y ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.96/1.37    'tc_bool' ) ), X ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( X, 'c_Expr_Oexp_OVal'( Y, 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , ~( 'c_BigStep_Oeval'( Z, 'c_Expr_Oexp_OVal'( Y, 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ), T, X, U ) ) ],
% 0.96/1.37     [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( 
% 0.96/1.37    'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 
% 0.96/1.37    'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.96/1.37    , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.96/1.37    , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.96/1.37    , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ), 
% 0.96/1.37    'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.96/1.37     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.96/1.37    ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y, 
% 0.96/1.37    'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.96/1.37     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.37     ) ), Y ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.37    T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 
% 0.96/1.37    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.96/1.37    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.96/1.37    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.96/1.37     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.96/1.37    'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.96/1.37     ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.96/1.37     ) ) ), =( 'c_Relation_Orel__comp'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.96/1.37     ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.96/1.37     ) ) ), =( 'c_Relation_Orel__comp'( X, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.37     [ 'c_BigStep_Oeval'( X, 'c_Expr_Oexp_OVal'( Y, 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ), Z, 'c_Expr_Oexp_OVal'( Y, 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ), Z ) ],
% 0.96/1.37     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( 
% 0.96/1.37    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.96/1.37    'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.96/1.37    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.96/1.37    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.37    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.37    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.96/1.37    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.96/1.37    'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.96/1.37    'c_lessequals'( Y, Z, X ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.96/1.37    'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.96/1.37    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.37     ],
% 0.96/1.37     [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 
% 0.96/1.37    'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.96/1.37     [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.96/1.37    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 0.96/1.37    'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.96/1.37    , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.37    X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.96/1.37     ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.96/1.37    'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.96/1.37    , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.96/1.37    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.37     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.37    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.96/1.37     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.37    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.96/1.37     [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.96/1.37    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.96/1.37     ), 'tc_bool' ) ), X ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.96/1.37    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.96/1.37    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.96/1.37     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.96/1.37    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.96/1.37     [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.96/1.37    'tc_bool' ) ), Y, X ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.37    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.37    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Oconverse'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X, 
% 0.96/1.37    Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ), 
% 0.96/1.37    'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.96/1.37    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.96/1.37    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.96/1.37    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.96/1.37    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.96/1.37    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.37    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.96/1.37    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.96/1.37    'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.37    , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Product__Type_OSigma'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.96/1.37    , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.96/1.37    'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.37    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 
% 0.96/1.37    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X, 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.96/1.37    'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.96/1.37    'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.37     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.96/1.37    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.96/1.37    Y, Z ) ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.37    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.96/1.37    'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    X, X ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.96/1.37     [ 'c_WellTypeRT_OWTrt'( X, Y, Z, T, U ), ~( 'c_Objects_Ohext'( W, Y ) )
% 0.96/1.37    , ~( 'c_WellTypeRT_OWTrt'( X, W, Z, T, U ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Product__Type_OSigma'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.96/1.37    , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.96/1.37    'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.37     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.96/1.37    , T ) ],
% 0.96/1.37     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ), 
% 0.96/1.37    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.96/1.37     ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.37     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.96/1.37    , T ) ],
% 0.96/1.37     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.37    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.96/1.37    , Z ) ],
% 0.96/1.37     [ =( 'c_Relation_Oconverse'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X, 
% 0.96/1.37    Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ), 
% 0.96/1.37    'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.96/1.37    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.96/1.37    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.96/1.37     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.96/1.37    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.37     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.37     ) ],
% 0.96/1.37     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.96/1.37    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.37     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.37     ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.37    Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Orel__comp'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Z, T ), 'tc_bool' ) ), U, Z, T, W ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.37    , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Orel__comp'( X, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    T, U ), 'tc_bool' ) ), W, T, U ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.37    , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'( 
% 0.96/1.37    'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.37    , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.37    , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.37    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    Z, T, X ), X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.37    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    T, Z, X ), X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.96/1.37    'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.96/1.37    'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.37    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    Z, T, X ), X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.37    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    T, Z, X ), X ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.37    Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_BigStep_Oeval'( Z, 'c_Expr_Oexp_OVal'( T, 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), Y, U, X ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.96/1.37     [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.96/1.37    , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.96/1.37    , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.37    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.96/1.37     ) ), Z, X ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.37    Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.96/1.37     ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Relation_ORange'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z, 
% 0.96/1.37    T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.37    T, 'tc_bool' ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.96/1.37     ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.96/1.37    'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.96/1.37    'c_in'( X, T, Z ) ],
% 0.96/1.37     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.37     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.96/1.37    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.96/1.37    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.37     [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U, 
% 0.96/1.37    'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U, 
% 0.96/1.37    Z, T ), T ) ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.96/1.37    , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( 
% 0.96/1.37    Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.96/1.37    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.96/1.37    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.96/1.37    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, 
% 0.96/1.37    W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.96/1.37     ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T, 
% 0.96/1.37    U, W ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( 
% 0.96/1.37    'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.96/1.37    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.96/1.37    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.96/1.37    , T ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 
% 0.96/1.37    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.96/1.37    , T ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.37     ), ~( 'c_in'( X, T, Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.96/1.37    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.96/1.37    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.96/1.37     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.37     ), Y ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.37     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.37     ), Y ) ) ],
% 0.96/1.37     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.37     ), Y ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.96/1.37    , Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Z ) ) ],
% 0.96/1.37     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.37    , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Z ) ) ],
% 0.96/1.37     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.96/1.37     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.96/1.37     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.96/1.37    'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.96/1.37     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.96/1.37     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.96/1.37    , U ), U ) ],
% 0.96/1.37     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.96/1.37    , U ), U ) ],
% 0.96/1.37     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.96/1.37    , Z, T ) ) ],
% 0.96/1.37     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.96/1.37    , Z, T ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.96/1.37     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.96/1.37    , T, Z ) ) ],
% 0.96/1.37     [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), 
% 0.96/1.37    Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X, 
% 0.96/1.37    'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 
% 0.96/1.37    'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.37    , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z, 
% 0.96/1.37    T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.96/1.37     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.96/1.37    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.96/1.37    , Z ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.96/1.37     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.96/1.37    'tc_bool' ) ), X ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.37    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.96/1.37    Y, X ), Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.37    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.37    T, X ), Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.96/1.37    'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.96/1.37    'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.37    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.96/1.37    Y, X ), Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.96/1.37    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.96/1.37    T, X ), Z, X ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.37    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.96/1.37    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.96/1.37    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.96/1.37    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~( 
% 0.96/1.37    'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.96/1.37     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.96/1.37     ],
% 0.96/1.37     [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~( 
% 0.96/1.37    'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T, 
% 0.96/1.37    'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.96/1.37    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.37    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.37    T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.37    Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'( 
% 0.96/1.37    T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.37    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.37    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.96/1.37    Z, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 
% 0.96/1.37    T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.96/1.37    'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( X, T ) ) ) ],
% 0.96/1.37     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.96/1.37    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.96/1.37    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.96/1.37    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.37    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.37    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.96/1.37    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ) ) ],
% 0.96/1.37     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.96/1.37    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.96/1.37    'tc_bool' ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.96/1.37    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.96/1.37    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.37     ) ],
% 0.96/1.37     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.96/1.37    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.96/1.37     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'( 
% 0.96/1.37    U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( 
% 0.96/1.37    Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), 
% 0.96/1.37    ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.96/1.37     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.96/1.37    'c_lessequals'( Z, Y, X ) ],
% 0.96/1.37     [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T, 
% 0.96/1.37    'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 
% 0.96/1.37    'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.96/1.37     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.96/1.37    , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'( 
% 0.96/1.37    'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'( 
% 0.96/1.37    X, Z, T, U ), 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'( 
% 0.96/1.37    X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.96/1.37    , U ), 'tc_prod'( U, U ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z, 
% 0.96/1.37    T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( 
% 0.96/1.37    X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.96/1.37    , U ), 'tc_prod'( U, U ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.96/1.37     ],
% 0.96/1.37     [ =( X, 'c_List_Olist_OCons'( 
% 0.96/1.37    'c_Aux_Osko__Aux__Xrel__list__all2__Cons1__1__1'( Y, Z, T, X, U, W ), 
% 0.96/1.37    'c_Aux_Osko__Aux__Xrel__list__all2__Cons1__1__2'( Y, Z, T, X, U, W ), W )
% 0.96/1.37     ), ~( 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( Y, U, W ), 
% 0.96/1.37    'c_List_Olist_OCons'( Z, T, U ), X, U, W ) ) ],
% 0.96/1.37     [ =( X, 'c_List_Olist_OCons'( 
% 0.96/1.37    'c_Aux_Osko__Aux__Xrel__list__all2__Cons2__1__1'( Y, X, Z, T, U, W ), 
% 0.96/1.37    'c_Aux_Osko__Aux__Xrel__list__all2__Cons2__1__2'( Y, X, Z, T, U, W ), U )
% 0.96/1.37     ), ~( 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( Y, U, W ), X, 
% 0.96/1.37    'c_List_Olist_OCons'( Z, T, W ), U, W ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.96/1.37    'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.96/1.37    , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.96/1.37     ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T, 
% 0.96/1.37    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, 
% 0.96/1.37    Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y, 
% 0.96/1.37    U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    'c_Relation_OImage'( T, 'c_Set_Oinsert'( X, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.96/1.37     ],
% 0.96/1.37     [ =( X, 'c_List_Olist_OCons'( 
% 0.96/1.37    'c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1'( Y, Z, T, X, U ), 
% 0.96/1.37    'c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2'( Y, Z, T, X, U ), 
% 0.96/1.37    'tc_Type_Oty' ) ), ~( 'c_List_Olist__all2'( 'c_TypeRel_Owiden'( Y, U ), 
% 0.96/1.37    'c_List_Olist_OCons'( Z, T, 'tc_Type_Oty' ), X, 'tc_Type_Oty', 
% 0.96/1.37    'tc_Type_Oty' ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, 
% 0.96/1.37    'c_Relation_OImage'( U, 'c_Set_Oinsert'( X, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ), 
% 0.96/1.37    T ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ), 
% 0.96/1.37    U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X, 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X, 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.96/1.37    , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 
% 0.96/1.37    'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.96/1.37     [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z, 
% 0.96/1.37    'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y, 
% 0.96/1.37    'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X, 
% 0.96/1.37    U ) ],
% 0.96/1.37     [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.96/1.37    , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.96/1.37     ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.96/1.37    , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.96/1.37     ) ) ) ],
% 0.96/1.37     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.96/1.37    'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.96/1.37     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.96/1.37    'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.37    'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y, 
% 0.96/1.37    'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ), 
% 0.96/1.37    'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.96/1.37    , T ), T ) ) ],
% 0.96/1.37     [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.96/1.37    , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y, 
% 0.96/1.37    'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.96/1.37     ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), 
% 0.96/1.37    'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.37    , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 
% 0.96/1.37    'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.37    Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.37    , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ), 
% 0.96/1.37    'tc_bool' ) ), Z ) ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.96/1.37     ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'( 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'( 
% 0.96/1.37    'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.96/1.37     ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.96/1.37    'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), 
% 0.96/1.37    ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.37     [ 'c_Objects_Ohext'( X, Y ), ~( 'c_BigStep_Oeval'( Z, T, 'c_Pair'( X, U
% 0.96/1.37    , 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), W, 
% 0.96/1.37    'c_Pair'( Y, V0, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.37    'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.96/1.37     ) ), Y ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.96/1.37    'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.96/1.37     ) ), Y ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.96/1.37    'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.96/1.37    ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.37     [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ), 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y, 
% 0.96/1.37    'tc_bool' ) ) ) ],
% 0.96/1.37     [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.96/1.37    , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.96/1.37    , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.96/1.37    'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z
% 0.96/1.37    , W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.96/1.37    'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z
% 0.96/1.37    , W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( X, Y, Z, T, U ), ~( 'c_List_Olist__all2'( X, 
% 0.96/1.37    'c_List_Olist_OCons'( W, Y, T ), 'c_List_Olist_OCons'( V0, Z, U ), T, U )
% 0.96/1.37     ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_List_Olist__all2'( X, 
% 0.96/1.37    'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, W, V0 ), U, V0
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ 'c_WellTypeRT_OWTrts'( X, Y, Z, T, U ), ~( 'c_Objects_Ohext'( W, Y ) )
% 0.96/1.37    , ~( 'c_WellTypeRT_OWTrts'( X, W, Z, T, U ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( hAPP( 'c_WWellForm_Owwf__J__mdecl', X ), Y ), Z ) )
% 0.96/1.37    , ~( hBOOL( hAPP( hAPP( hAPP( 'c_JWellForm_Owf__J__mdecl', X ), Y ), Z )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.96/1.37    'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T, 
% 0.96/1.37    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, 
% 0.96/1.37    't_a' ), 't_a' ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T, 
% 0.96/1.37    'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.37     ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.37     ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 'c_Aux_Osko__Aux__Xrel__list__all2__Cons1__1__1'( 
% 0.96/1.37    Y, X, Z, T, U, W ), U, W ), Y, 'tc_prod'( U, W ) ), ~( 
% 0.96/1.37    'c_List_Olist__all2'( 'c_Aux_Ofun__of'( Y, U, W ), 'c_List_Olist_OCons'( 
% 0.96/1.37    X, Z, U ), T, U, W ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_Aux_Osko__Aux__Xrel__list__all2__Cons2__1__1'( X
% 0.96/1.37    , Y, Z, T, U, W ), Z, U, W ), X, 'tc_prod'( U, W ) ), ~( 
% 0.96/1.37    'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, U, W ), Y, 
% 0.96/1.37    'c_List_Olist_OCons'( Z, T, W ), U, W ) ) ],
% 0.96/1.37     [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.96/1.37    , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 
% 0.96/1.37    'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.96/1.37    , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X, 
% 0.96/1.37    'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.96/1.37    , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.96/1.37     ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.96/1.37    , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.96/1.37     ), U ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z, 
% 0.96/1.37    Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ), 
% 0.96/1.37    't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( 
% 0.96/1.37    X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 
% 0.96/1.37    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.96/1.37    'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T, 
% 0.96/1.37    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, 
% 0.96/1.37    't_a' ), 't_a' ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.96/1.37    , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 
% 0.96/1.37    'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.96/1.37    , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ), 
% 0.96/1.37    ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.96/1.37     ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ), 
% 0.96/1.37    Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, 
% 0.96/1.37    T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.96/1.37    , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 
% 0.96/1.37    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T, 
% 0.96/1.37    'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.96/1.37    , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y, 
% 0.96/1.37    'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.96/1.37     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.96/1.37    , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'( 
% 0.96/1.37    T, Z ) ) ],
% 0.96/1.37     [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.96/1.37     ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ), 
% 0.96/1.37    V0, 'tc_prod'( T, U ) ) ) ],
% 0.96/1.37     [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), 
% 0.96/1.37    'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X, 
% 0.96/1.37    'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.37     [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), 
% 0.96/1.37    'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X, 
% 0.96/1.37    'tc_prod'( Y, Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'( 
% 0.96/1.37    Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~( 
% 0.96/1.37    'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.37     [ 'c_WellTypeRT_OWTrts'( X, Y, Z, 'c_List_Olist_OCons'( T, U, 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 
% 0.96/1.37    'c_List_Olist_OCons'( W, V0, 'tc_Type_Oty' ) ), ~( 'c_WellTypeRT_OWTrts'( 
% 0.96/1.37    X, Y, Z, U, V0 ) ), ~( 'c_WellTypeRT_OWTrt'( X, Y, Z, T, W ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_TypeRel_Owiden'( X, Y ), Z ), 
% 0.96/1.37    'c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1'( X, Z, T, U, Y ) ) ), ~( 
% 0.96/1.37    'c_List_Olist__all2'( 'c_TypeRel_Owiden'( X, Y ), 'c_List_Olist_OCons'( Z
% 0.96/1.37    , T, 'tc_Type_Oty' ), U, 'tc_Type_Oty', 'tc_Type_Oty' ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_TypeRel_Owiden'( X, Y ), Z, 
% 0.96/1.37    'c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2'( X, T, Z, U, Y ), 
% 0.96/1.37    'tc_Type_Oty', 'tc_Type_Oty' ), ~( 'c_List_Olist__all2'( 
% 0.96/1.37    'c_TypeRel_Owiden'( X, Y ), 'c_List_Olist_OCons'( T, Z, 'tc_Type_Oty' ), 
% 0.96/1.37    U, 'tc_Type_Oty', 'tc_Type_Oty' ) ) ],
% 0.96/1.37     [ =( 'c_Relation_OImage'( X, 
% 0.96/1.37    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.96/1.37    'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ), 
% 0.96/1.37    'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'( 
% 0.96/1.37    'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.96/1.37     [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'( 
% 0.96/1.37    'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.96/1.37     [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.96/1.37    , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 
% 0.96/1.37    'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.96/1.37     [ 'c_BigStep_Oevals'( X, 'c_List_Olist_OCons'( Y, Z, 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), T, 'c_List_Olist_OCons'( 
% 0.96/1.37    'c_Expr_Oexp_OVal'( U, 'tc_List_Olist'( 'tc_String_Ochar' ) ), W, 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), V0 ), ~( 
% 0.96/1.37    'c_BigStep_Oevals'( X, Z, V1, W, V0 ) ), ~( 'c_BigStep_Oeval'( X, Y, T, 
% 0.96/1.37    'c_Expr_Oexp_OVal'( U, 'tc_List_Olist'( 'tc_String_Ochar' ) ), V1 ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ), 
% 0.96/1.37    'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, 
% 0.96/1.37    Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Otrancl'( 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.96/1.37    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.37     [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.96/1.37     ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.96/1.37    , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), T, 
% 0.96/1.37    'c_Aux_Osko__Aux__Xrel__list__all2__Cons1__1__2'( X, U, T, W, Y, Z ), Y, 
% 0.96/1.37    Z ), ~( 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), 
% 0.96/1.37    'c_List_Olist_OCons'( U, T, Y ), W, Y, Z ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), 
% 0.96/1.37    'c_Aux_Osko__Aux__Xrel__list__all2__Cons2__1__2'( X, T, U, W, Y, Z ), W, 
% 0.96/1.37    Y, Z ), ~( 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), T, 
% 0.96/1.37    'c_List_Olist_OCons'( U, W, Z ), Y, Z ) ) ],
% 0.96/1.37     [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, 
% 0.96/1.37    Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.96/1.37    , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X, 
% 0.96/1.37    Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ), 
% 0.96/1.37    'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ), 
% 0.96/1.37    'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.96/1.37     [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), 
% 0.96/1.37    'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'( 
% 0.96/1.37    X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W, 
% 0.96/1.37    V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, 
% 0.96/1.37    W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W, 
% 0.96/1.37    V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.96/1.37    , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X, Y, Z, T
% 0.96/1.37    , U ), X, T ), ~( 'c_in'( Z, 'c_Product__Type_OSigma'( X, Y, T, U ), 
% 0.96/1.37    'tc_prod'( T, U ) ) ) ],
% 0.96/1.37     [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), 'c_in'( 
% 0.96/1.37    'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z, 
% 0.96/1.37    Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( 
% 0.96/1.37    Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.96/1.37    , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( 
% 0.96/1.37    T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 
% 0.96/1.37    'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ), 
% 0.96/1.37    T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( 
% 0.96/1.37    X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 
% 0.96/1.37    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 
% 0.96/1.37    'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.96/1.37     ) ],
% 0.96/1.37     [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.96/1.37    , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ), 
% 0.96/1.37    Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 
% 0.96/1.37    'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ), 
% 0.96/1.37    T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ), 
% 0.96/1.37    'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 
% 0.96/1.37    'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.96/1.37    , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.96/1.37    , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 0.96/1.37    , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
% 0.96/1.37    , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 
% 0.96/1.37    'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.96/1.37     ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
% 0.96/1.37    , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T, 
% 0.96/1.37    'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.96/1.37    'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T, 
% 0.96/1.37    'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ), 
% 0.96/1.37    T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.96/1.37    , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 0.96/1.37    , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X, 
% 0.96/1.37    Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( 
% 0.96/1.37    T, T ) ), =( Y, Z ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y, 
% 0.96/1.37    X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), =( X, Z ), ~( 'c_in'( 'c_Pair'( 
% 0.96/1.37    X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T )
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'( 
% 0.96/1.37    X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z, 
% 0.96/1.37    U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'( 
% 0.96/1.37    X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 
% 0.96/1.37    'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, 
% 0.96/1.37    Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.96/1.37     ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( Z, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z, 
% 0.96/1.37    T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.96/1.37     ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z, 
% 0.96/1.37    T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 0.96/1.37     ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( 
% 0.96/1.37    X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 
% 0.96/1.37    'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a'
% 0.96/1.37    , 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a'
% 0.96/1.37    , 't_a' ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z, 
% 0.96/1.37    T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U )
% 0.96/1.37    , 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X
% 0.96/1.37    , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), 
% 0.96/1.37    ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.96/1.37     ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'( 
% 0.96/1.37    X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.96/1.37    , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.96/1.37     ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.96/1.37    , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ), 
% 0.96/1.37    =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.96/1.37    'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.37     [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.96/1.37    'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.37     ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.96/1.37     ) ) ), ~( 'c_in'( 'c_Pair'( Z, Z, Y, Y ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.37     ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.96/1.37    , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.37     ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 
% 0.96/1.37    'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.96/1.37    , X, 'tc_prod'( Z, Z ) ) ],
% 0.96/1.37     [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.96/1.37    T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.96/1.37    , Z ) ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ), 
% 0.96/1.37    'c_Relation_OImage'( X, 'c_Set_Oinsert'( T, 
% 0.96/1.37    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.37     ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, 
% 0.96/1.37    Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, 
% 0.96/1.37    Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_Wellfounded_Olex__prod'( X, Y, Z, T ), 
% 0.96/1.37    'tc_prod'( Z, T ) ), ~( 'c_Relation_Otrans'( Y, T ) ), ~( 
% 0.96/1.37    'c_Relation_Otrans'( X, Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U, 
% 0.96/1.37    'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.96/1.37    , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ), 
% 0.96/1.37    'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.96/1.37    'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), 
% 0.96/1.37    ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X, 
% 0.96/1.37    'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'( 
% 0.96/1.37    'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.96/1.37    'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z
% 0.96/1.37    , W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.96/1.37     ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.96/1.37     ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.96/1.37    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.96/1.37     ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 0.96/1.37    'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.96/1.37    , 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 0.96/1.37    'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.96/1.37    'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.96/1.37    'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 
% 0.96/1.37    'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.96/1.37    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'( 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'( 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( 
% 0.96/1.37    'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP( 
% 0.96/1.37    X, U ), W ) ) ],
% 0.96/1.37     [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP( 
% 0.96/1.37    X, U ), W ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 
% 0.96/1.37    'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.96/1.37    , T ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'( 
% 0.96/1.37    Y, Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~( 
% 0.96/1.37    'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ), 
% 0.96/1.37    ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~( 
% 0.96/1.37    'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.37     [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.96/1.37     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'( 
% 0.96/1.37    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.96/1.37    'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.37     [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.96/1.37     ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.96/1.37    , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_Objects_Ohext'( X, Y ), ~( 'c_BigStep_Oevals'( Z, T, 'c_Pair'( X, U
% 0.96/1.37    , 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), W, 
% 0.96/1.37    'c_Pair'( Y, V0, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.37     [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.37     [ 'c_Objects_Ohext'( X, X ) ],
% 0.96/1.37     [ 'c_Conform_Olconf'( X, Y, Z, T, U ), ~( 'c_Objects_Ohext'( W, Y ) ), 
% 0.96/1.37    ~( 'c_Conform_Olconf'( X, W, Z, T, U ) ) ],
% 0.96/1.37     [ 'c_Objects_Ohext'( X, Y ), ~( 'c_Objects_Ohext'( Z, Y ) ), ~( 
% 0.96/1.37    'c_Objects_Ohext'( X, Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X, 
% 0.96/1.37    'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~( 
% 0.96/1.37    'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~( 
% 0.96/1.37    'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ), 
% 0.96/1.37    ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 
% 0.96/1.37    'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.96/1.37     [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.96/1.37     [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.96/1.37     [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X, 
% 0.96/1.37    Y ) ],
% 0.96/1.37     [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.96/1.37     ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.96/1.37    , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ), 
% 0.96/1.37    'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.37     [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.37     ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    X, Y ), X, Y, Y, Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.96/1.37    'c_Relation_Osym'( X, Z ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'( 
% 0.96/1.37    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.96/1.37    'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ), 
% 0.96/1.37    'c_Relation_OId'( X ) ) ],
% 0.96/1.37     [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), 
% 0.96/1.37    W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.96/1.37    , T, U, V0 ), Z, T, V0 ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T, 
% 0.96/1.37    T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.96/1.37    , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.96/1.37    , Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~( 
% 0.96/1.37    'c_Relation_Otrans'( X, Z ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ), 
% 0.96/1.37    'c_Relation_OId__on'( X, Y ) ) ],
% 0.96/1.37     [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.96/1.37    , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.96/1.37    , Y ), X, Y ) ],
% 0.96/1.37     [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.37     [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.96/1.37    'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, 
% 0.96/1.37    Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.96/1.37     ],
% 0.96/1.37     [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.96/1.37    , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~( 
% 0.96/1.37    'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.96/1.37    X ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.37     [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.96/1.37    , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.96/1.37     [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( 
% 0.96/1.37    'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~( 
% 0.96/1.37    'c_Relation_Oantisym'( X, Y ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.96/1.37    'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y, 
% 0.96/1.37    'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.96/1.37     [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X, 
% 0.96/1.37    Y, Z ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.96/1.37    , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ), 
% 0.96/1.37    Y, Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.96/1.37     ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), T, U, Y, Z ), ~( 
% 0.96/1.37    'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), 'c_List_Olist_OCons'( 
% 0.96/1.37    W, T, Y ), 'c_List_Olist_OCons'( V0, U, Z ), Y, Z ) ) ],
% 0.96/1.37     [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.96/1.37    , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.96/1.37    , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.96/1.37     [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ), 
% 0.96/1.37    'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.96/1.37     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.96/1.37     ) ), =( X, T ) ],
% 0.96/1.37     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.96/1.37     ) ), =( Y, U ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.96/1.37    , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.96/1.37     [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'( 
% 0.96/1.37    'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.96/1.37     [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X, 
% 0.96/1.37    'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), 
% 0.96/1.37    ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.96/1.37     [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.96/1.37     ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), 'c_in'( 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ), 
% 0.96/1.37    'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.96/1.37    , T ), T ) ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'( 
% 0.96/1.37    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.37     [ ~( =( 'c_Expr_Oexp_OVal'( X, Y ), 'c_Expr_Oexp_OVal'( Z, Y ) ) ), =( X
% 0.96/1.37    , Z ) ],
% 0.96/1.37     [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ), 
% 0.96/1.37    't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( 
% 0.96/1.37    X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 
% 0.96/1.37    'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.96/1.37    , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z, 
% 0.96/1.37    Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.96/1.37    , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), 
% 0.96/1.37    Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.96/1.37    , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y, 
% 0.96/1.37    'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 0.96/1.37    X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.96/1.37    , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X, 
% 0.96/1.37    'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 
% 0.96/1.37    'c_List_Olist__all2'( 'c_Aux_Ofun__of'( U, Z, T ), 'c_List_Olist_OCons'( 
% 0.96/1.37    X, W, Z ), 'c_List_Olist_OCons'( Y, V0, T ), Z, T ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Y ), Z, Z, Y, Y ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( 'c_Aux_Osko__Aux__Xrel__list__all2__refl__1__1'( X, Y )
% 0.96/1.37    , 'c_Aux_Osko__Aux__Xrel__list__all2__refl__1__1'( X, Y ), Y, Y ), X, 
% 0.96/1.37    'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), 
% 0.96/1.37    'c_List_Olist_OCons'( T, U, Y ), 'c_List_Olist_OCons'( W, V0, Z ), Y, Z )
% 0.96/1.37    , ~( 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), U, V0, Y, Z ) ), 
% 0.96/1.37    ~( 'c_in'( 'c_Pair'( T, W, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), 
% 0.96/1.37    'c_List_Olist_OCons'( T, U, Y ), 'c_List_Olist_OCons'( W, V0, Z ), Y, Z )
% 0.96/1.37    , ~( 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), U, V0, Y, Z ) ), 
% 0.96/1.37    ~( 'c_in'( 'c_Pair'( T, W, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), 
% 0.96/1.37    'c_List_Olist_OCons'( T, U, Y ), 'c_List_Olist_OCons'( W, V0, Z ), Y, Z )
% 0.96/1.37    , ~( 'c_List_Olist__all2'( 'c_Aux_Ofun__of'( X, Y, Z ), U, V0, Y, Z ) ), 
% 0.96/1.37    ~( 'c_in'( 'c_Pair'( T, W, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_Pair'( 'c_List_Olist_OCons'( 'c_Expr_Oexp_OVal'( 
% 0.96/1.37    X, 'tc_List_Olist'( 'tc_String_Ochar' ) ), Y, 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), Z, 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'c_Pair'( 'c_List_Olist_OCons'( 'c_Expr_Oexp_OVal'( X, 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ), T, 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), U, 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( 'c_SmallStep_Oreds'( W ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ), ~( 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_Pair'( Y, Z, 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'c_Pair'( T, U, 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    'c_SmallStep_Oreds'( W ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_prod'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.96/1.37    'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.96/1.37    , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~( 
% 0.96/1.37    'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~( 
% 0.96/1.37    'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.96/1.37     [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.96/1.37    , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.96/1.37    , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.96/1.37    'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, 
% 0.96/1.37    Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ), 
% 0.96/1.37    'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, 
% 0.96/1.37    Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T, 
% 0.96/1.37    Z ) ) ) ],
% 0.96/1.37     [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 
% 0.96/1.37    'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.96/1.37    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.96/1.37    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( 
% 0.96/1.37    Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.37    , 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.96/1.37     ), 'tc_prod'( Y, Y ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.96/1.37     ), 'tc_prod'( Y, Y ) ) ],
% 0.96/1.37     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 
% 0.96/1.37    T, Z ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.96/1.37    'c_Relation_Oantisym'( T, Z ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 
% 0.96/1.37    'c_Relation_Oantisym'( T, Z ) ) ],
% 0.96/1.37     [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.96/1.37    , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.96/1.37     ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.96/1.37    , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.96/1.37     ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.96/1.37    , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ), 
% 0.96/1.37    'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 
% 0.96/1.37    'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.96/1.37     [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 
% 0.96/1.37    'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.96/1.37    , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.96/1.37    , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.96/1.37    , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U, 
% 0.96/1.37    X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.96/1.37    , Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.96/1.37    , Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0, 
% 0.96/1.37    T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W, 
% 0.96/1.37    'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'( 
% 0.96/1.37    Z, V0 ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 
% 0.96/1.37    'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 
% 0.96/1.37    'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.37     ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( 
% 0.96/1.37    Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.96/1.37     ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'c_Pair'( Z, T, 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'c_Transitive__Closure_Ortrancl'( 
% 0.96/1.37    'c_SmallStep_Oreds'( U ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_prod'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ), ~( 'c_BigStep_Oevals'( 
% 0.96/1.37    U, X, Y, Z, T ) ), ~( 'c_WellForm_Owf__prog'( 
% 0.96/1.37    'c_WWellForm_Owwf__J__mdecl', U, 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ) ) ) ],
% 0.96/1.37     [ 'c_BigStep_Oevals'( X, Y, Z, T, U ), ~( 'c_BigStep_Oevals'( X, W, V0, 
% 0.96/1.37    T, U ) ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( Y, Z, 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'c_Pair'( W, V0, 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 
% 0.96/1.37    'c_Transitive__Closure_Ortrancl'( 'c_SmallStep_Oreds'( X ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ) ), ~( 
% 0.96/1.37    'c_WellForm_Owf__prog'( 'c_WWellForm_Owwf__J__mdecl', X, 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_TypeRel_Owiden'( X, Y ), 'c_List_Olist_OCons'( 
% 0.96/1.37    Z, T, 'tc_Type_Oty' ), 'c_List_Olist_OCons'( U, W, 'tc_Type_Oty' ), 
% 0.96/1.37    'tc_Type_Oty', 'tc_Type_Oty' ), ~( 'c_List_Olist__all2'( 
% 0.96/1.37    'c_TypeRel_Owiden'( X, Y ), T, W, 'tc_Type_Oty', 'tc_Type_Oty' ) ), ~( 
% 0.96/1.37    hBOOL( hAPP( hAPP( 'c_TypeRel_Owiden'( X, Y ), Z ), U ) ) ) ],
% 0.96/1.37     [ 'c_Objects_Ohext'( X, Y ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( Z, 'c_Pair'( 
% 0.96/1.37    X, T, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'c_Pair'( U, 'c_Pair'( Y, W, 'tc_fun'( 'tc_nat'
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( V0 ), 'tc_prod'( 
% 0.96/1.37    'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_Pair'( 'c_List_Olist_OCons'( 'c_Expr_Oexp_OVal'( 
% 0.96/1.37    X, 'tc_List_Olist'( 'tc_String_Ochar' ) ), Y, 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), Z, 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'c_Pair'( 'c_List_Olist_OCons'( 'c_Expr_Oexp_OVal'( X, 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ), T, 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), U, 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( W
% 0.96/1.37     ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( Y, Z, 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'c_Pair'( T, U, 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( W
% 0.96/1.37     ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 0.96/1.37     [ 'c_WellForm_Owf__prog'( 'c_WWellForm_Owwf__J__mdecl', X, 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ), ~( 'c_WellForm_Owf__prog'( 
% 0.96/1.37    'c_JWellForm_Owf__J__mdecl', X, 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.96/1.37    , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.96/1.37    , Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.96/1.37    , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.96/1.37    , Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( 
% 0.96/1.37    Y, Z ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X, 
% 0.96/1.37    T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( 
% 0.96/1.37    Y, Z ), Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'( 
% 0.96/1.37    W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'( 
% 0.96/1.37    W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), 
% 0.96/1.37    'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ), 
% 0.96/1.37    'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.96/1.37    , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.96/1.37    , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.96/1.37    , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.96/1.37    , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'( 
% 0.96/1.37    X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'( 
% 0.96/1.37    X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ), 
% 0.96/1.37    'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), 
% 0.96/1.37    'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'( 
% 0.96/1.37    'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X, 
% 0.96/1.37    U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.96/1.37     ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, 
% 0.96/1.37    T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.96/1.37    , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.96/1.37    , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, 
% 0.96/1.37    T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.96/1.37     [ 'c_Conform_Ohconf'( X, Y, 'tc_prod'( 'tc_List_Olist'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ) ) ), ~( 'c_Conform_Ohconf'( X, Z, 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ) ) ), ~( 'c_WellTypeRT_OWTrts'( X, Z, T, U, W ) )
% 0.96/1.37    , ~( 'c_in'( 'c_Pair'( 'c_Pair'( U, 'c_Pair'( Z, V0, 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'c_Pair'( V1, 'c_Pair'( Y, V2, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ), 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( X
% 0.96/1.37     ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 0.96/1.37     [ 'c_Conform_Olconf'( X, Y, Z, T, 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ) ), ~( 'c_Conform_Olconf'( X, U, W, T, 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ) ), ~( 'c_WellTypeRT_OWTrts'( X
% 0.96/1.37    , U, T, V0, V1 ) ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( V0, 'c_Pair'( U, W, 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'c_Pair'( V2, 'c_Pair'( Y, Z, 'tc_fun'( 'tc_nat'
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( X ), 'tc_prod'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 0.96/1.37     [ 'c_BigStep_Oevals'( X, Y, Z, T, U ), ~( 'c_BigStep_Oevals'( X, W, V0, 
% 0.96/1.37    T, U ) ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( Y, Z, 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'c_Pair'( W, V0, 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( X
% 0.96/1.37     ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ) ), ~( 'c_WellForm_Owf__prog'( 
% 0.96/1.37    'c_WWellForm_Owwf__J__mdecl', X, 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ) ) ) ],
% 0.96/1.37     [ =( X, Y ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( 'c_Pair'( X, U, Z, W ), 'c_Pair'( Y, V0, Z, W ), 
% 0.96/1.37    'tc_prod'( Z, W ), 'tc_prod'( Z, W ) ), 'c_Wellfounded_Olex__prod'( T, V1
% 0.96/1.37    , Z, W ), 'tc_prod'( 'tc_prod'( Z, W ), 'tc_prod'( Z, W ) ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( X, U, Z, T ), 
% 0.96/1.37    'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ), 'c_Wellfounded_Olex__prod'( W, V0
% 0.96/1.37    , Z, T ), 'tc_prod'( 'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( Y, U, T, T ), V0, 'tc_prod'( T, T ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ), 
% 0.96/1.37    'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ), 'c_Wellfounded_Olex__prod'( V0, 
% 0.96/1.37    V1, Z, T ), 'tc_prod'( 'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( X, U, Z, Z ), V0, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'( 
% 0.96/1.37    'c_Pair'( U, W, V0, V0 ), V1, 'tc_prod'( V0, V0 ) ), ~( 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_Pair'( U, X, V0, Z ), 'c_Pair'( W, Y, V0, Z ), 'tc_prod'( V0, Z ), 
% 0.96/1.37    'tc_prod'( V0, Z ) ), 'c_Wellfounded_Olex__prod'( V1, T, V0, Z ), 
% 0.96/1.37    'tc_prod'( 'tc_prod'( V0, Z ), 'tc_prod'( V0, Z ) ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( X, U, Z, T ), 
% 0.96/1.37    'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ), 'c_Recdef_Osame__fst'( W, V0, Z, 
% 0.96/1.37    T ), 'tc_prod'( 'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ) ), ~( 'c_in'( 
% 0.96/1.37    'c_Pair'( Y, U, T, T ), hAPP( V0, X ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( W, X ) ) ) ],
% 0.96/1.37     [ 'c_WellTypeRT_OWTrts'( X, Y, Z, T, 
% 0.96/1.37    'v_sko__TypeSafe__Mirabelle__Xsubjects__reduction2__1'( Z, X, U, T, Y ) )
% 0.96/1.37    , ~( 'c_WellTypeRT_OWTrts'( X, W, Z, V0, U ) ), ~( 
% 0.96/1.37    'c_TypeSafe__Mirabelle_Osconf'( X, Z, 'c_Pair'( W, V1, 'tc_fun'( 'tc_nat'
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), ~( 'c_in'( 'c_Pair'( 
% 0.96/1.37    'c_Pair'( V0, 'c_Pair'( W, V1, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ), 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'c_Pair'( T, 'c_Pair'( Y
% 0.96/1.37    , V2, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( X ), 'tc_prod'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ) ), ~( 
% 0.96/1.37    'c_WellForm_Owf__prog'( 'c_JWellForm_Owf__J__mdecl', X, 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_TypeRel_Owiden'( X, 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ), 
% 0.96/1.37    'v_sko__TypeSafe__Mirabelle__Xsubjects__reduction2__1'( Y, X, Z, T, U ), 
% 0.96/1.37    Z, 'tc_Type_Oty', 'tc_Type_Oty' ), ~( 'c_WellTypeRT_OWTrts'( X, W, Y, V0
% 0.96/1.37    , Z ) ), ~( 'c_TypeSafe__Mirabelle_Osconf'( X, Y, 'c_Pair'( W, V1, 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), ~( 
% 0.96/1.37    'c_in'( 'c_Pair'( 'c_Pair'( V0, 'c_Pair'( W, V1, 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'c_Pair'( T, 'c_Pair'( U, V2, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ), 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( X
% 0.96/1.37     ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ) ), ~( 'c_WellForm_Owf__prog'( 
% 0.96/1.37    'c_JWellForm_Owf__J__mdecl', X, 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ) ) ) ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_fequal'( X ), Y, Y, X, X ) ],
% 0.96/1.37     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ 'c_TypeSafe__Mirabelle_Osconf'( X, Y, Z ), ~( 
% 0.96/1.37    'c_TypeSafe__Mirabelle_Osconf'( X, Y, T ) ), ~( 'c_WellTypeRT_OWTrts'( X
% 0.96/1.37    , 'c_State_Ohp'( T ), Y, U, W ) ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( U, T, 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'c_Pair'( V0, Z, 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( X
% 0.96/1.37     ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 0.96/1.37     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.96/1.37     [ =( X, Y ), ~( 'c_List_Olist__all2'( 'c_fequal'( Z ), X, Y, Z, Z ) ) ]
% 0.96/1.37    ,
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_TypeRel_Owiden'( X, Y ), Z ), Z ) ) ],
% 0.96/1.37     [ hBOOL( hAPP( hAPP( 'c_TypeRel_Owiden'( X, Y ), Z ), T ) ), ~( hBOOL( 
% 0.96/1.37    hAPP( hAPP( 'c_TypeRel_Owiden'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( 
% 0.96/1.37    hAPP( 'c_TypeRel_Owiden'( X, Y ), Z ), U ) ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_TypeRel_Owiden'( X, Y ), Z, T, 'tc_Type_Oty'
% 0.96/1.37    , 'tc_Type_Oty' ), ~( 'c_List_Olist__all2'( 'c_TypeRel_Owiden'( X, Y ), U
% 0.96/1.37    , T, 'tc_Type_Oty', 'tc_Type_Oty' ) ), ~( 'c_List_Olist__all2'( 
% 0.96/1.37    'c_TypeRel_Owiden'( X, Y ), Z, U, 'tc_Type_Oty', 'tc_Type_Oty' ) ) ],
% 0.96/1.37     [ 'c_List_Olist__all2'( 'c_TypeRel_Owiden'( X, Y ), Z, Z, 'tc_Type_Oty'
% 0.96/1.37    , 'tc_Type_Oty' ) ],
% 0.96/1.37     [ 'c_WellForm_Owf__prog'( 'c_JWellForm_Owf__J__mdecl', 'v_P', 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ) ],
% 0.96/1.37     [ 'c_in'( 'c_Pair'( 'c_Pair'( 'v_es', 'v_s', 'tc_List_Olist'( 
% 0.96/1.37    'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ), 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 
% 0.96/1.37    'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 
% 0.96/1.37    'c_Pair'( 'v_es_H', 'v_s_H', 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( 
% 0.96/1.37    'v_P' ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat', 
% 0.96/1.37    'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 0.96/1.37    , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.96/1.37    , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.96/1.37     ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'( 
% 0.96/1.37    'tc_Value_Oval' ) ) ) ) ) ) ],
% 0.96/1.37     [ 'c_TypeSafe__Mirabelle_Osconf'( 'v_P', 'v_E', 'v_s' ) ],
% 0.96/1.37     [ 'c_WellTypeRT_OWTrts'( 'v_P', 'c_State_Ohp'( 'v_s' ), 'v_E', 'v_es', 
% 0.96/1.37    'v_Ts' ) ],
% 0.96/1.37     [ ~( 'c_List_Olist__all2'( 'c_TypeRel_Owiden'( 'v_P', 'tc_prod'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 
% 0.96/1.37    'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ), X, 'v_Ts', 'tc_Type_Oty', 
% 0.96/1.37    'tc_Type_Oty' ) ), ~( 'c_WellTypeRT_OWTrts'( 'v_P', 'c_State_Ohp'( 
% 0.96/1.37    'v_s_H' ), 'v_E', 'v_es_H', X ) ) ],
% 0.96/1.38     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.38    'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.38     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.38    'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.38     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.38    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.96/1.38     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.38    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.96/1.38     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.38    'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.38     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.38    'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.38     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.96/1.38    'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.38     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.96/1.38    Y ) ) ],
% 0.96/1.38     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.96/1.38    ,
% 0.96/1.38     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.96/1.38     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.96/1.38     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.96/1.38     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.38     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.38     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.96/1.38     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.38     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.96/1.38     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.96/1.38     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.96/1.38     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.96/1.38     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.96/1.38     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.96/1.38     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.38     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.96/1.38     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.38     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.96/1.38     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.96/1.38     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.96/1.38     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.96/1.38  ] .
% 0.96/1.38  
% 0.96/1.38  
% 0.96/1.38  percentage equality = 0.211985, percentage horn = 0.901099
% 0.96/1.38  This is a problem with some equality
% 0.96/1.38  
% 0.96/1.38  
% 0.96/1.38  
% 0.96/1.38  Options Used:
% 0.96/1.38  
% 0.96/1.38  useres =            1
% 0.96/1.38  useparamod =        1
% 0.96/1.38  useeqrefl =         1
% 0.96/1.38  useeqfact =         1
% 0.96/1.38  usefactor =         1
% 0.96/1.38  usesimpsplitting =  0
% 0.96/1.38  usesimpdemod =      5
% 0.96/1.38  usesimpres =        3
% 0.96/1.38  
% 0.96/1.38  resimpinuse      =  1000
% 0.96/1.38  resimpclauses =     20000
% 0.96/1.38  substype =          eqrewr
% 0.96/1.38  backwardsubs =      1
% 0.96/1.38  selectoldest =      5
% 0.96/1.38  
% 0.96/1.38  litorderings [0] =  split
% 0.96/1.38  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.96/1.38  
% 0.96/1.38  termordering =      kbo
% 0.96/1.38  
% 0.96/1.38  litapriori =        0
% 0.96/1.38  termapriori =       1
% 0.96/1.38  litaposteriori =    0
% 0.96/1.38  termaposteriori =   0
% 0.96/1.38  demodaposteriori =  0
% 0.96/1.38  ordereqreflfact =   0
% 0.96/1.38  
% 0.96/1.38  litselect =         negord
% 0.96/1.38  
% 0.96/1.38  maxweight =         15
% 0.96/1.38  maxdepth =          30000
% 0.96/1.38  maxlength =         115
% 0.96/1.38  maxnrvars =         195
% 0.96/1.38  excuselevel =       1
% 0.96/1.38  increasemaxweight = 1
% 0.96/1.38  
% 0.96/1.38  maxselected =       10000000
% 0.96/1.38  maxnrclauses =      10000000
% 0.96/1.38  
% 0.96/1.38  showgenerated =    0
% 0.96/1.38  showkept =         0
% 0.96/1.38  showselected =     0
% 0.96/1.38  showdeleted =      0
% 0.96/1.38  showresimp =       1
% 0.96/1.38  showstatus =       2000
% 0.96/1.38  
% 0.96/1.38  prologoutput =     1
% 0.96/1.38  nrgoals =          5000000
% 0.96/1.38  totalproof =       1
% 0.96/1.38  
% 0.96/1.38  Symbols occurring in the translation:
% 0.96/1.38  
% 0.96/1.38  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.96/1.38  .  [1, 2]      (w:1, o:136, a:1, s:1, b:0), 
% 0.96/1.38  !  [4, 1]      (w:0, o:110, a:1, s:1, b:0), 
% 0.96/1.38  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.96/1.38  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.96/1.38  'tc_prod'  [42, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 0.96/1.38  'tc_bool'  [43, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.96/1.38  'tc_fun'  [44, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 0.96/1.38  'c_Lattices_Oupper__semilattice__class_Osup'  [45, 3]      (w:1, o:188, a:1
% 0.96/1.38    , s:1, b:0), 
% 0.96/1.38  'c_Relation_Osym'  [46, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 0.96/1.38  'c_Pair'  [50, 4]      (w:1, o:221, a:1, s:1, b:0), 
% 0.96/1.38  'c_Set_Oinsert'  [51, 3]      (w:1, o:195, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_ODomain'  [52, 3]      (w:1, o:189, a:1, s:1, b:0), 
% 0.96/1.38  hAPP  [55, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 0.96/1.38  hBOOL  [56, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 0.96/1.38  'c_Orderings_Obot__class_Obot'  [59, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_OImage'  [60, 4]      (w:1, o:222, a:1, s:1, b:0), 
% 0.96/1.38  'c_Lattices_Olower__semilattice__class_Oinf'  [62, 3]      (w:1, o:196, a:1
% 0.96/1.38    , s:1, b:0), 
% 0.96/1.38  'c_HOL_Ominus__class_Ominus'  [63, 3]      (w:1, o:197, a:1, s:1, b:0), 
% 0.96/1.38  'class_Orderings_Obot'  [64, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 0.96/1.38  'c_lessequals'  [65, 3]      (w:1, o:198, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_Orel__comp'  [67, 5]      (w:1, o:244, a:1, s:1, b:0), 
% 0.96/1.38  'c_Set_Oimage'  [70, 4]      (w:1, o:225, a:1, s:1, b:0), 
% 0.96/1.38  'c_Transitive__Closure_Ortrancl'  [71, 2]      (w:1, o:165, a:1, s:1, b:0)
% 0.96/1.38    , 
% 0.96/1.38  'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'  [74, 3]      (w:1, o:
% 0.96/1.38    199, a:1, s:1, b:0), 
% 0.96/1.38  'c_Wellfounded_Owf'  [75, 2]      (w:1, o:166, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_ORange'  [76, 3]      (w:1, o:190, a:1, s:1, b:0), 
% 0.96/1.38  'c_in'  [77, 3]      (w:1, o:200, a:1, s:1, b:0), 
% 0.96/1.38  'c_COMBK'  [78, 3]      (w:1, o:201, a:1, s:1, b:0), 
% 0.96/1.38  'c_Product__Type_OSigma'  [79, 4]      (w:1, o:226, a:1, s:1, b:0), 
% 0.96/1.38  'c_Transitive__Closure_Otrancl'  [81, 2]      (w:1, o:167, a:1, s:1, b:0), 
% 0.96/1.38    
% 0.96/1.38  'class_Lattices_Odistrib__lattice'  [84, 1]      (w:1, o:118, a:1, s:1, b:0
% 0.96/1.38    ), 
% 0.96/1.38  'c_Relation_OId__on'  [86, 2]      (w:1, o:168, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_Orefl__on'  [87, 3]      (w:1, o:191, a:1, s:1, b:0), 
% 0.96/1.38  'class_Lattices_Oupper__semilattice'  [88, 1]      (w:1, o:119, a:1, s:1
% 0.96/1.38    , b:0), 
% 0.96/1.38  'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'  [92, 3]      (w:1, o:202, a:
% 0.96/1.38    1, s:1, b:0), 
% 0.96/1.38  'class_OrderedGroup_Oab__group__add'  [95, 1]      (w:1, o:120, a:1, s:1
% 0.96/1.38    , b:0), 
% 0.96/1.38  'class_Lattices_Olattice'  [98, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 0.96/1.38  'class_Lattices_Olower__semilattice'  [99, 1]      (w:1, o:122, a:1, s:1
% 0.96/1.38    , b:0), 
% 0.96/1.38  'c_Wellfounded_Oacyclic'  [100, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 0.96/1.38  'c_Equiv__Relations_Oequiv'  [101, 3]      (w:1, o:203, a:1, s:1, b:0), 
% 0.96/1.38  'class_Lattices_Obounded__lattice'  [102, 1]      (w:1, o:123, a:1, s:1, b:
% 0.96/1.38    0), 
% 0.96/1.38  'tc_String_Ochar'  [105, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 0.96/1.38  'tc_List_Olist'  [106, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 0.96/1.38  'c_Expr_Oexp_OVal'  [107, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.96/1.38  'c_BigStep_Oeval'  [108, 5]      (w:1, o:248, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_Otrans'  [110, 2]      (w:1, o:171, a:1, s:1, b:0), 
% 0.96/1.38  'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'  [112, 3]      (w:1, o:
% 0.96/1.38    204, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_Oconverse'  [113, 3]      (w:1, o:192, a:1, s:1, b:0), 
% 0.96/1.38  'class_Orderings_Oorder'  [114, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_Oantisym'  [115, 2]      (w:1, o:172, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_Ototal__on'  [117, 3]      (w:1, o:194, a:1, s:1, b:0), 
% 0.96/1.38  'c_WellTypeRT_OWTrt'  [122, 5]      (w:1, o:249, a:1, s:1, b:0), 
% 0.96/1.38  'c_Objects_Ohext'  [124, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 0.96/1.38  'c_Wellfounded_Oacc'  [126, 2]      (w:1, o:176, a:1, s:1, b:0), 
% 0.96/1.38  'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'  [128, 3]      
% 0.96/1.38    (w:1, o:205, a:1, s:1, b:0), 
% 0.96/1.38  'c_List_Osko__Recdef__Xcuts__eq__1__1'  [130, 6]      (w:1, o:258, a:1, s:1
% 0.96/1.38    , b:0), 
% 0.96/1.38  'c_Recdef_Ocut'  [131, 5]      (w:1, o:250, a:1, s:1, b:0), 
% 0.96/1.38  'class_HOL_Oord'  [132, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 0.96/1.38  'class_Orderings_Opreorder'  [135, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 0.96/1.38  'c_Relation_Osingle__valued'  [137, 3]      (w:1, o:193, a:1, s:1, b:0), 
% 0.96/1.38  'class_OrderedGroup_Opordered__ab__group__add'  [138, 1]      (w:1, o:128
% 0.96/1.38    , a:1, s:1, b:0), 
% 0.96/1.38  'class_Orderings_Olinorder'  [140, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 0.96/1.38  'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 0.96/1.38      [141, 4]      (w:1, o:227, a:1, s:1, b:0), 
% 0.96/1.38  'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 0.96/1.38      [142, 4]      (w:1, o:228, a:1, s:1, b:0), 
% 0.96/1.38  'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'  [143, 4
% 0.96/1.38    ]      (w:1, o:229, a:1, s:1, b:0), 
% 0.96/1.38  'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'  [144, 4
% 0.96/1.38    ]      (w:1, o:230, a:1, s:1, b:0), 
% 0.96/1.38  'c_Aux_Osko__Aux__Xrel__list__all2__Cons1__1__1'  [147, 6]      (w:1, o:259
% 0.96/1.38    , a:1, s:1, b:0), 
% 0.96/1.38  'c_Aux_Osko__Aux__Xrel__list__all2__Cons1__1__2'  [148, 6]      (w:1, o:260
% 0.96/1.38    , a:1, s:1, b:0), 
% 0.96/1.38  'c_List_Olist_OCons'  [149, 3]      (w:1, o:206, a:1, s:1, b:0), 
% 0.96/1.38  'c_Aux_Ofun__of'  [150, 3]      (w:1, o:207, a:1, s:1, b:0), 
% 0.96/1.38  'c_List_Olist__all2'  [151, 5]      (w:1, o:251, a:1, s:1, b:0), 
% 3.25/3.63  'c_Aux_Osko__Aux__Xrel__list__all2__Cons2__1__1'  [152, 6]      (w:1, o:261
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'c_Aux_Osko__Aux__Xrel__list__all2__Cons2__1__2'  [153, 6]      (w:1, o:262
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'c_Relation_OId'  [154, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 3.25/3.63  'c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1'  [155, 5]      (w:1, o:252
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2'  [156, 5]      (w:1, o:253
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'tc_Type_Oty'  [157, 0]      (w:1, o:75, a:1, s:1, b:0), 
% 3.25/3.63  'c_TypeRel_Owiden'  [158, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'  [159, 3]      (w:1, o:
% 3.25/3.63    208, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Relation__XImageE__1__1'  [160, 5]      (w:1, o:245
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'v_sko__Wellfounded__Xacc__Xinducts__1'  [161, 2]      (w:1, o:178, a:1, s:
% 3.25/3.63    1, b:0), 
% 3.25/3.63  't_a'  [162, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'  [163, 3]      
% 3.25/3.63    (w:1, o:209, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'  [164, 3]      (w:
% 3.25/3.63    1, o:210, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'  [165, 3]      (w:1
% 3.25/3.63    , o:211, a:1, s:1, b:0), 
% 3.25/3.63  'tc_nat'  [167, 0]      (w:1, o:78, a:1, s:1, b:0), 
% 3.25/3.63  'tc_Value_Oval'  [168, 0]      (w:1, o:79, a:1, s:1, b:0), 
% 3.25/3.63  'tc_Option_Ooption'  [169, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 3.25/3.63  'c_WellTypeRT_OWTrts'  [173, 5]      (w:1, o:254, a:1, s:1, b:0), 
% 3.25/3.63  'c_WWellForm_Owwf__J__mdecl'  [174, 0]      (w:1, o:82, a:1, s:1, b:0), 
% 3.25/3.63  'c_JWellForm_Owf__J__mdecl'  [176, 0]      (w:1, o:84, a:1, s:1, b:0), 
% 3.25/3.63  'v_sko__Wellfounded__Xacc__Xinduct__1'  [177, 2]      (w:1, o:179, a:1, s:1
% 3.25/3.63    , b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'  [178, 4]      (w:1, o:231
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'  [180, 4]      (w:1, o:232
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'  [181, 4]      
% 3.25/3.63    (w:1, o:233, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'  [182, 4]      
% 3.25/3.63    (w:1, o:234, a:1, s:1, b:0), 
% 3.25/3.63  'c_split'  [183, 4]      (w:1, o:235, a:1, s:1, b:0), 
% 3.25/3.63  'c_Nitpick_Orefl_H'  [184, 2]      (w:1, o:173, a:1, s:1, b:0), 
% 3.25/3.63  'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'  [185, 2]      (w:1, o:174
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'c_Relation_Oirrefl'  [186, 2]      (w:1, o:180, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'  [187, 2]      (w:1, o:
% 3.25/3.63    181, a:1, s:1, b:0), 
% 3.25/3.63  'tc_Expr_Oexp'  [188, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 3.25/3.63  'v_r'  [189, 0]      (w:1, o:85, a:1, s:1, b:0), 
% 3.25/3.63  't_b'  [190, 0]      (w:1, o:86, a:1, s:1, b:0), 
% 3.25/3.63  'c_BigStep_Oevals'  [194, 5]      (w:1, o:255, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'  [196, 3]      (w:1, o:212
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'  [197, 2]      (w:1
% 3.25/3.63    , o:182, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'  [198, 2]      (w:1, o:
% 3.25/3.63    183, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Relation__XIdE__1__1'  [199, 2]      (w:1, o:184, a:1
% 3.25/3.63    , s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'  [200, 7]      (w:1
% 3.25/3.63    , o:264, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'  [201, 5]      (w:1, o:
% 3.25/3.63    246, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'  [202
% 3.25/3.63    , 2]      (w:1, o:185, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'  [203, 
% 3.25/3.63    4]      (w:1, o:236, a:1, s:1, b:0), 
% 3.25/3.63  'v_sko__Transitive__Closure__Xtrancl__Xcases__1'  [206, 3]      (w:1, o:213
% 3.25/3.63    , a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'  [207, 4]      
% 3.25/3.63    (w:1, o:237, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'  [209, 4]      
% 3.25/3.63    (w:1, o:238, a:1, s:1, b:0), 
% 3.25/3.63  'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'  [210
% 3.25/3.63    , 4]      (w:1, o:239, a:1, s:1, b:0), 
% 3.25/3.63  'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'  [211, 3]      (w:1, o:
% 3.25/3.63    214, a:1, s:1, b:0), 
% 3.25/3.63  'c_FunDef_Oin__rel'  [212, 3]      (w:1, o:215, a:1, s:1, b:0), 
% 14.69/15.09  'c_Wellfounded_OwfP'  [213, 2]      (w:1, o:186, a:1, s:1, b:0), 
% 14.69/15.09  'c_Wellfounded_Olex__prod'  [214, 4]      (w:1, o:240, a:1, s:1, b:0), 
% 14.69/15.09  'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'  [215, 3]      (w:1
% 14.69/15.09    , o:216, a:1, s:1, b:0), 
% 14.69/15.09  'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'  [216, 5]      (w:1, o:
% 14.69/15.09    247, a:1, s:1, b:0), 
% 14.69/15.09  'c_Conform_Olconf'  [217, 5]      (w:1, o:256, a:1, s:1, b:0), 
% 14.69/15.09  'c_Relation_Oinv__image'  [219, 4]      (w:1, o:223, a:1, s:1, b:0), 
% 14.69/15.09  'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'  [221, 3]      
% 14.69/15.09    (w:1, o:217, a:1, s:1, b:0), 
% 14.69/15.09  'c_Equiv__Relations_Ocongruent'  [223, 4]      (w:1, o:241, a:1, s:1, b:0)
% 14.69/15.09    , 
% 14.69/15.09  'c_Equiv__Relations_Ocongruent2'  [225, 6]      (w:1, o:263, a:1, s:1, b:0)
% 14.69/15.09    , 
% 14.69/15.09  'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'  [231, 4]      (w:1, o:
% 14.69/15.09    242, a:1, s:1, b:0), 
% 14.69/15.09  'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'  [232, 4]      (w:1, o:
% 14.69/15.09    243, a:1, s:1, b:0), 
% 14.69/15.09  'c_Aux_Osko__Aux__Xrel__list__all2__refl__1__1'  [233, 2]      (w:1, o:187
% 14.69/15.09    , a:1, s:1, b:0), 
% 14.69/15.09  'c_SmallStep_Oreds'  [234, 1]      (w:1, o:133, a:1, s:1, b:0), 
% 14.69/15.09  'c_WellForm_Owf__prog'  [239, 3]      (w:1, o:218, a:1, s:1, b:0), 
% 14.69/15.09  'c_Conform_Ohconf'  [242, 3]      (w:1, o:219, a:1, s:1, b:0), 
% 14.69/15.09  'c_Recdef_Osame__fst'  [246, 4]      (w:1, o:224, a:1, s:1, b:0), 
% 14.69/15.09  'v_sko__TypeSafe__Mirabelle__Xsubjects__reduction2__1'  [247, 5]      (w:1
% 14.69/15.09    , o:257, a:1, s:1, b:0), 
% 14.69/15.09  'c_TypeSafe__Mirabelle_Osconf'  [248, 3]      (w:1, o:220, a:1, s:1, b:0), 
% 14.69/15.09    
% 14.69/15.09  'c_fequal'  [249, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 14.69/15.09  'c_State_Ohp'  [250, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 14.69/15.09  'v_P'  [254, 0]      (w:1, o:99, a:1, s:1, b:0), 
% 14.69/15.09  'v_es'  [255, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 14.69/15.09  'v_s'  [256, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 14.69/15.09  'v_es_H'  [257, 0]      (w:1, o:102, a:1, s:1, b:0), 
% 14.69/15.09  'v_s_H'  [258, 0]      (w:1, o:103, a:1, s:1, b:0), 
% 14.69/15.09  'v_E'  [259, 0]      (w:1, o:104, a:1, s:1, b:0), 
% 14.69/15.09  'v_Ts'  [260, 0]      (w:1, o:105, a:1, s:1, b:0).
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Starting Search:
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    4570
% 14.69/15.09  Kept:         2082
% 14.69/15.09  Inuse:        159
% 14.69/15.09  Deleted:      3
% 14.69/15.09  Deletedinuse: 1
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    11911
% 14.69/15.09  Kept:         4090
% 14.69/15.09  Inuse:        312
% 14.69/15.09  Deleted:      8
% 14.69/15.09  Deletedinuse: 4
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    21039
% 14.69/15.09  Kept:         6394
% 14.69/15.09  Inuse:        423
% 14.69/15.09  Deleted:      12
% 14.69/15.09  Deletedinuse: 6
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    32482
% 14.69/15.09  Kept:         8560
% 14.69/15.09  Inuse:        544
% 14.69/15.09  Deleted:      13
% 14.69/15.09  Deletedinuse: 6
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    46921
% 14.69/15.09  Kept:         10723
% 14.69/15.09  Inuse:        599
% 14.69/15.09  Deleted:      17
% 14.69/15.09  Deletedinuse: 7
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    68753
% 14.69/15.09  Kept:         12746
% 14.69/15.09  Inuse:        653
% 14.69/15.09  Deleted:      25
% 14.69/15.09  Deletedinuse: 12
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    87334
% 14.69/15.09  Kept:         15329
% 14.69/15.09  Inuse:        672
% 14.69/15.09  Deleted:      26
% 14.69/15.09  Deletedinuse: 12
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    105671
% 14.69/15.09  Kept:         17744
% 14.69/15.09  Inuse:        677
% 14.69/15.09  Deleted:      32
% 14.69/15.09  Deletedinuse: 18
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    118054
% 14.69/15.09  Kept:         21293
% 14.69/15.09  Inuse:        702
% 14.69/15.09  Deleted:      36
% 14.69/15.09  Deletedinuse: 19
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying clauses:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    135759
% 14.69/15.09  Kept:         24238
% 14.69/15.09  Inuse:        761
% 14.69/15.09  Deleted:      487
% 14.69/15.09  Deletedinuse: 19
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    151281
% 14.69/15.09  Kept:         26322
% 14.69/15.09  Inuse:        804
% 14.69/15.09  Deleted:      487
% 14.69/15.09  Deletedinuse: 19
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    164120
% 14.69/15.09  Kept:         28327
% 14.69/15.09  Inuse:        837
% 14.69/15.09  Deleted:      490
% 14.69/15.09  Deletedinuse: 22
% 14.69/15.09  
% 14.69/15.09  Resimplifying inuse:
% 14.69/15.09  Done
% 14.69/15.09  
% 14.69/15.09  
% 14.69/15.09  Intermediate Status:
% 14.69/15.09  Generated:    175993
% 14.69/15.09  Kept:         30900
% 14.69/15.09  Inuse:        849
% 14.69/15.09  Deleted:      490
% 52.95/53.33  Deletedinuse: 22
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    189212
% 52.95/53.33  Kept:         32900
% 52.95/53.33  Inuse:        888
% 52.95/53.33  Deleted:      490
% 52.95/53.33  Deletedinuse: 22
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    204323
% 52.95/53.33  Kept:         35378
% 52.95/53.33  Inuse:        914
% 52.95/53.33  Deleted:      490
% 52.95/53.33  Deletedinuse: 22
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    223090
% 52.95/53.33  Kept:         37679
% 52.95/53.33  Inuse:        954
% 52.95/53.33  Deleted:      490
% 52.95/53.33  Deletedinuse: 22
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    238714
% 52.95/53.33  Kept:         39820
% 52.95/53.33  Inuse:        1004
% 52.95/53.33  Deleted:      491
% 52.95/53.33  Deletedinuse: 23
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    262128
% 52.95/53.33  Kept:         43020
% 52.95/53.33  Inuse:        1053
% 52.95/53.33  Deleted:      494
% 52.95/53.33  Deletedinuse: 25
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying clauses:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    286928
% 52.95/53.33  Kept:         45156
% 52.95/53.33  Inuse:        1098
% 52.95/53.33  Deleted:      845
% 52.95/53.33  Deletedinuse: 33
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    301898
% 52.95/53.33  Kept:         47166
% 52.95/53.33  Inuse:        1152
% 52.95/53.33  Deleted:      845
% 52.95/53.33  Deletedinuse: 33
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    313436
% 52.95/53.33  Kept:         49184
% 52.95/53.33  Inuse:        1193
% 52.95/53.33  Deleted:      845
% 52.95/53.33  Deletedinuse: 33
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    328945
% 52.95/53.33  Kept:         51350
% 52.95/53.33  Inuse:        1203
% 52.95/53.33  Deleted:      846
% 52.95/53.33  Deletedinuse: 34
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    349096
% 52.95/53.33  Kept:         53465
% 52.95/53.33  Inuse:        1232
% 52.95/53.33  Deleted:      859
% 52.95/53.33  Deletedinuse: 36
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    356956
% 52.95/53.33  Kept:         55470
% 52.95/53.33  Inuse:        1236
% 52.95/53.33  Deleted:      875
% 52.95/53.33  Deletedinuse: 36
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    363167
% 52.95/53.33  Kept:         57485
% 52.95/53.33  Inuse:        1247
% 52.95/53.33  Deleted:      908
% 52.95/53.33  Deletedinuse: 36
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    384407
% 52.95/53.33  Kept:         60555
% 52.95/53.33  Inuse:        1273
% 52.95/53.33  Deleted:      924
% 52.95/53.33  Deletedinuse: 37
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    401894
% 52.95/53.33  Kept:         62558
% 52.95/53.33  Inuse:        1327
% 52.95/53.33  Deleted:      927
% 52.95/53.33  Deletedinuse: 39
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying clauses:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    417192
% 52.95/53.33  Kept:         64708
% 52.95/53.33  Inuse:        1364
% 52.95/53.33  Deleted:      1623
% 52.95/53.33  Deletedinuse: 45
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    439203
% 52.95/53.33  Kept:         66802
% 52.95/53.33  Inuse:        1419
% 52.95/53.33  Deleted:      1624
% 52.95/53.33  Deletedinuse: 46
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    450081
% 52.95/53.33  Kept:         68899
% 52.95/53.33  Inuse:        1454
% 52.95/53.33  Deleted:      1626
% 52.95/53.33  Deletedinuse: 48
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    463443
% 52.95/53.33  Kept:         72598
% 52.95/53.33  Inuse:        1457
% 52.95/53.33  Deleted:      1626
% 52.95/53.33  Deletedinuse: 48
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    472204
% 52.95/53.33  Kept:         74602
% 52.95/53.33  Inuse:        1485
% 52.95/53.33  Deleted:      1627
% 52.95/53.33  Deletedinuse: 49
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    481003
% 52.95/53.33  Kept:         76643
% 52.95/53.33  Inuse:        1519
% 52.95/53.33  Deleted:      1629
% 52.95/53.33  Deletedinuse: 51
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    492268
% 52.95/53.33  Kept:         78813
% 52.95/53.33  Inuse:        1554
% 52.95/53.33  Deleted:      1629
% 52.95/53.33  Deletedinuse: 51
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    510396
% 52.95/53.33  Kept:         80831
% 52.95/53.33  Inuse:        1579
% 52.95/53.33  Deleted:      1629
% 52.95/53.33  Deletedinuse: 51
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    520878
% 52.95/53.33  Kept:         82966
% 52.95/53.33  Inuse:        1614
% 52.95/53.33  Deleted:      1639
% 52.95/53.33  Deletedinuse: 61
% 52.95/53.33  
% 52.95/53.33  Resimplifying clauses:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  Resimplifying inuse:
% 52.95/53.33  Done
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 52.95/53.33  Generated:    532423
% 52.95/53.33  Kept:         85010
% 52.95/53.33  Inuse:        1648
% 52.95/53.33  Deleted:      2192
% 52.95/53.33  Deletedinuse: 66
% 52.95/53.33  
% 52.95/53.33  
% 52.95/53.33  Intermediate Status:
% 164.39/164.82  Generated:    550406
% 164.39/164.82  Kept:         88323
% 164.39/164.82  Inuse:        1657
% 164.39/164.82  Deleted:      2193
% 164.39/164.82  Deletedinuse: 66
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    566535
% 164.39/164.82  Kept:         91279
% 164.39/164.82  Inuse:        1662
% 164.39/164.82  Deleted:      2193
% 164.39/164.82  Deletedinuse: 66
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    582757
% 164.39/164.82  Kept:         94290
% 164.39/164.82  Inuse:        1667
% 164.39/164.82  Deleted:      2193
% 164.39/164.82  Deletedinuse: 66
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    600366
% 164.39/164.82  Kept:         96298
% 164.39/164.82  Inuse:        1681
% 164.39/164.82  Deleted:      2193
% 164.39/164.82  Deletedinuse: 66
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    632111
% 164.39/164.82  Kept:         101087
% 164.39/164.82  Inuse:        1692
% 164.39/164.82  Deleted:      2193
% 164.39/164.82  Deletedinuse: 66
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    666996
% 164.39/164.82  Kept:         105352
% 164.39/164.82  Inuse:        1702
% 164.39/164.82  Deleted:      2193
% 164.39/164.82  Deletedinuse: 66
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying clauses:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    686001
% 164.39/164.82  Kept:         109213
% 164.39/164.82  Inuse:        1712
% 164.39/164.82  Deleted:      2705
% 164.39/164.82  Deletedinuse: 66
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    714369
% 164.39/164.82  Kept:         114402
% 164.39/164.82  Inuse:        1733
% 164.39/164.82  Deleted:      2709
% 164.39/164.82  Deletedinuse: 66
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    739807
% 164.39/164.82  Kept:         116423
% 164.39/164.82  Inuse:        1757
% 164.39/164.82  Deleted:      2710
% 164.39/164.82  Deletedinuse: 67
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    759217
% 164.39/164.82  Kept:         120206
% 164.39/164.82  Inuse:        1763
% 164.39/164.82  Deleted:      2710
% 164.39/164.82  Deletedinuse: 67
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    772266
% 164.39/164.82  Kept:         122284
% 164.39/164.82  Inuse:        1787
% 164.39/164.82  Deleted:      2711
% 164.39/164.82  Deletedinuse: 67
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    789675
% 164.39/164.82  Kept:         124330
% 164.39/164.82  Inuse:        1815
% 164.39/164.82  Deleted:      2712
% 164.39/164.82  Deletedinuse: 68
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying clauses:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    806488
% 164.39/164.82  Kept:         126538
% 164.39/164.82  Inuse:        1862
% 164.39/164.82  Deleted:      3040
% 164.39/164.82  Deletedinuse: 69
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    819701
% 164.39/164.82  Kept:         128584
% 164.39/164.82  Inuse:        1913
% 164.39/164.82  Deleted:      3042
% 164.39/164.82  Deletedinuse: 71
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    839084
% 164.39/164.82  Kept:         130602
% 164.39/164.82  Inuse:        1923
% 164.39/164.82  Deleted:      3043
% 164.39/164.82  Deletedinuse: 72
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    859416
% 164.39/164.82  Kept:         132662
% 164.39/164.82  Inuse:        1937
% 164.39/164.82  Deleted:      3043
% 164.39/164.82  Deletedinuse: 72
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    871775
% 164.39/164.82  Kept:         134809
% 164.39/164.82  Inuse:        1967
% 164.39/164.82  Deleted:      3043
% 164.39/164.82  Deletedinuse: 72
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    890556
% 164.39/164.82  Kept:         138285
% 164.39/164.82  Inuse:        1972
% 164.39/164.82  Deleted:      3043
% 164.39/164.82  Deletedinuse: 72
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    929778
% 164.39/164.82  Kept:         141396
% 164.39/164.82  Inuse:        1997
% 164.39/164.82  Deleted:      3043
% 164.39/164.82  Deletedinuse: 72
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    954652
% 164.39/164.82  Kept:         144116
% 164.39/164.82  Inuse:        2007
% 164.39/164.82  Deleted:      3043
% 164.39/164.82  Deletedinuse: 72
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying clauses:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    966834
% 164.39/164.82  Kept:         146310
% 164.39/164.82  Inuse:        2032
% 164.39/164.82  Deleted:      3370
% 164.39/164.82  Deletedinuse: 72
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    980255
% 164.39/164.82  Kept:         148514
% 164.39/164.82  Inuse:        2057
% 164.39/164.82  Deleted:      3371
% 164.39/164.82  Deletedinuse: 73
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    1008438
% 164.39/164.82  Kept:         151711
% 164.39/164.82  Inuse:        2077
% 164.39/164.82  Deleted:      3376
% 164.39/164.82  Deletedinuse: 73
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    1030169
% 164.39/164.82  Kept:         155830
% 164.39/164.82  Inuse:        2087
% 164.39/164.82  Deleted:      3377
% 164.39/164.82  Deletedinuse: 74
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  
% 164.39/164.82  Intermediate Status:
% 164.39/164.82  Generated:    1055322
% 164.39/164.82  Kept:         159951
% 164.39/164.82  Inuse:        2097
% 164.39/164.82  Deleted:      3378
% 164.39/164.82  Deletedinuse: 75
% 164.39/164.82  
% 164.39/164.82  Resimplifying inuse:
% 164.39/164.82  Done
% 164.39/164.82  
% 164.39/164.82  Resimplifying inusCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------