TSTP Solution File: LCL824-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL824-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 : Sun Jul 17 07:58:29 EDT 2022

% Result   : Timeout 300.02s 300.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL824-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Sat Jul  2 12:51:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.85/1.25  *** allocated 10000 integers for termspace/termends
% 0.85/1.25  *** allocated 10000 integers for clauses
% 0.85/1.25  *** allocated 10000 integers for justifications
% 0.85/1.25  *** allocated 15000 integers for termspace/termends
% 0.85/1.25  Bliksem 1.12
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  Automatic Strategy Selection
% 0.85/1.25  
% 0.85/1.25  Clauses:
% 0.85/1.25  [
% 0.85/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.25    'tc_nat' ), 'tc_nat' ), X ) ],
% 0.85/1.25     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.85/1.25     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.85/1.25     [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.25    'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.25    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.85/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.85/1.25     ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.85/1.25     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.85/1.25    , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.85/1.25     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.85/1.25    , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.85/1.25     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.25    'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.85/1.25     ) ],
% 0.85/1.25     [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.25    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.85/1.25    , X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.25    , Y, X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.25    , Y, X ) ) ],
% 0.85/1.25     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.25     ), =( Z, Y ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.25     ) ],
% 0.85/1.25     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.85/1.25    , Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.85/1.25    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.85/1.25     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 0.85/1.25    'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.85/1.25     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.85/1.25    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.25    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.25    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.25    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.85/1.25    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.25    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.25     ) ],
% 0.85/1.25     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.85/1.25    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.85/1.25    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T, 
% 0.85/1.25    X ), Z, X ) ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.85/1.25    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25    , X ) ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.85/1.25    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.85/1.25    ,
% 0.85/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.85/1.25    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.85/1.25    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.25     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.85/1.25    'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.85/1.25    'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.25     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.85/1.25     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25    , X ) ) ],
% 0.85/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.85/1.25    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25     ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.85/1.25     ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25     ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25     ) ],
% 0.85/1.25     [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ), 
% 0.85/1.25    'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.25    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.85/1.25    ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), Y, 
% 0.85/1.25    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.25    'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25     ) ],
% 0.85/1.25     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.85/1.25     ) ],
% 0.85/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.85/1.25    , X, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.85/1.25    'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.85/1.25    'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.85/1.25     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.85/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y, 
% 0.85/1.25    'tc_nat' ) ) ],
% 0.85/1.25     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y, 
% 0.85/1.25    'tc_nat' ) ],
% 0.85/1.25     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.85/1.25    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.85/1.25     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.25    'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.85/1.25     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'( 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.85/1.25    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.85/1.25    'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, 
% 0.85/1.25    'c_Suc'( X ), 'tc_nat' ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.25    'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.25    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.25     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.25     ), 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.25     ), 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.85/1.25     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.85/1.25    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.85/1.25     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y, 
% 0.85/1.25    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.25    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.85/1.25    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.85/1.25    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.25    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.85/1.25    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.85/1.25    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.25    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.85/1.25    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.25     [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.85/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.85/1.25    'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.85/1.25    'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.85/1.25    'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.85/1.25    , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.25     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.85/1.25    'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.85/1.25     ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.25    , T, X ) ) ), =( Y, Z ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.85/1.25    , T, X ) ) ), =( Z, T ) ],
% 0.85/1.25     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.85/1.25    , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.85/1.25    ,
% 0.85/1.25     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.85/1.25     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.85/1.25    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.25     ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.85/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 0.85/1.25    'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 0.85/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 0.85/1.25    'c_lessequals'( Y, Z, X ) ],
% 0.85/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.85/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 0.85/1.25    'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.25    'c_Suc'( X ), 'tc_nat' ) ],
% 0.85/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.25    'c_Suc'( X ), 'tc_nat' ) ],
% 0.85/1.25     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X, 
% 0.85/1.25    'tc_nat' ) ],
% 0.85/1.25     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.85/1.25    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.85/1.25    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25     ) ), =( Y, Z ) ],
% 0.85/1.25     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.85/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25     ) ), =( Y, Z ) ],
% 0.85/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.25    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25    , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.25    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.89/1.25     ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.25    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.89/1.25    ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.89/1.25    , 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.89/1.25     ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.89/1.25    , X, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X, 
% 0.89/1.25    'tc_nat' ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X, 
% 0.89/1.25    'tc_nat' ) ],
% 0.89/1.25     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.89/1.25    , T, X ), X ), T, X ) ) ],
% 0.89/1.25     [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 0.89/1.25    , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    Z, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    T, Z, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 0.89/1.25    'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    Z, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.89/1.25    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    T, Z, X ), X ) ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 
% 0.89/1.25    X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.25    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.25     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.89/1.25    , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~( 
% 0.89/1.25    'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.25     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =( X, 
% 0.89/1.25    'c_List_Olist_ONil'( Y ) ) ],
% 0.89/1.25     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X
% 0.89/1.25     ) ), 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'( 
% 0.89/1.25    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'( 
% 0.89/1.25    Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), 
% 0.89/1.25    'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.89/1.25    , 'tc_nat' ) ],
% 0.89/1.25     [ =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ), ~( 
% 0.89/1.25    'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.89/1.25    , 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ), 
% 0.89/1.25    =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) )
% 0.89/1.25    , X, Z ), T ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.89/1.25     ) ), 'tc_nat' ) ],
% 0.89/1.25     [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ), 
% 0.89/1.25    =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z )
% 0.89/1.25     ), T, Z ) ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.89/1.25     ) ), 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.89/1.25    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'( 
% 0.89/1.25    'tc_Lambda_OdB' ) ) ],
% 0.89/1.25     [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.89/1.25    'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y, 
% 0.89/1.25    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.25    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 0.89/1.25    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 0.89/1.25    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 0.89/1.25    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 0.89/1.25    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.89/1.25    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), U ), 
% 0.89/1.25    hAPP( Y, U ) ), ~( 'c_HOL_Oord__class_Oless'( U, Z, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y, 
% 0.89/1.25    'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 
% 0.89/1.25    'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.89/1.25    , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.89/1.25    'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.89/1.25     ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.25    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.89/1.25    ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25    , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.25     [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ), 
% 0.89/1.25    hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.89/1.25     [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), 
% 0.89/1.25    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.25    'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.89/1.25     ],
% 0.89/1.25     [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ), 
% 0.89/1.25    =( Y, T ) ],
% 0.89/1.25     [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ), 
% 0.89/1.25    =( X, Z ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.89/1.25     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.89/1.25     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.89/1.25     [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 0.89/1.25    'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 0.89/1.25    , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y, 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 0.89/1.25    , Y ) ) ],
% 0.89/1.25     [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 
% 0.89/1.25    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.89/1.25    'tc_nat' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.89/1.25    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.89/1.25     ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.25    , X ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.89/1.25     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.89/1.25    , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.89/1.25    'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.89/1.25    'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.89/1.25    'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.89/1.25     ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.89/1.25    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.89/1.25    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.89/1.25    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.25    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), 
% 0.89/1.25    'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.25     [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 0.89/1.25    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.89/1.25    'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ), 
% 0.89/1.25    'c_List_Oappend'( X, 'c_List_Olist__update'( Y, 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ), U, Z ), Z ) ), 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', 'v_e____' ), 'v_u____' ), 
% 0.89/1.25    'v_T____' ) ) ],
% 0.89/1.25     [ =( 'c_List_Orotate'( X, 'c_List_Orev'( Y, Z ), Z ), 'c_List_Orev'( 
% 0.89/1.25    'c_List_Orotate'( 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 
% 0.89/1.25    'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ), 'tc_nat' ), Y, Z ), Z ) ) ],
% 0.89/1.25     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( Z ) ) ) ) ],
% 0.89/1.25     [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ), 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( Z, X, Y ), 
% 0.89/1.25    'tc_List_Olist'( Y ) ) ) ],
% 0.89/1.25     [ ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X
% 0.89/1.25    , Y, Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.89/1.25     [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.89/1.25    , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 0.89/1.25     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.89/1.25     [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 
% 0.89/1.25    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.89/1.25    , 'c_List_Odrop'( X, Z, T ) ) ],
% 0.89/1.25     [ =( 'c_List_Otake'( X, Y, Z ), Y ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z ), 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T
% 0.89/1.25     ), U, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist__update'( Y, T, U, Z )
% 0.89/1.25    , Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.89/1.25    , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Otyping', X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Otyping', X ), Y ), 'c_Type_Otype_OFun'( U, T ) ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( X, Y, Z, T ), X ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.89/1.25     ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( 
% 0.89/1.25    Z, X, 'tc_nat' ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.89/1.25     ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.89/1.25    'tc_nat' ) ) ],
% 0.89/1.25     [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'c_List_Odrop'( X, Z, T )
% 0.89/1.25    , T ) ) ],
% 0.89/1.25     [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Orotate'( 
% 0.89/1.25    'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Oshift'( X ), Y ), Z ), T ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.89/1.25    'tc_nat' ) ), U ), hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), hAPP( hAPP( 
% 0.89/1.25    hAPP( 'c_Type_Oshift'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.89/1.25    , U ) ), 'c_Suc'( Z ) ), T ) ) ],
% 0.89/1.25     [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 0.89/1.25    'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ), 
% 0.89/1.25    'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP( 
% 0.89/1.25    'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 0.89/1.25     ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', W ), T ), X ) ) ), ~( 
% 0.89/1.25    hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Otyping', hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), W
% 0.89/1.25     ), U ), X ) ), Z ), V0 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP( 
% 0.89/1.25    'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 0.89/1.25     ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', W ), T ), Y ) ) ), ~( 
% 0.89/1.25    hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Otyping', hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), W
% 0.89/1.25     ), U ), Y ) ), Z ), V0 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.89/1.25    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.89/1.25     ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.89/1.25     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ), 
% 0.89/1.25    =( Y, 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), T, Z ), U, Z ) ), ~( 'c_lessequals'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ), 
% 0.89/1.25    =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( T, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), X, Z ), Y, Z ), U ), 'c_lessequals'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.89/1.25     [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.89/1.25     [ =( 'c_List_Ofoldr'( X, Y, Z, T, U ), 'c_List_Ofoldl'( hAPP( 'c_COMBC'( 
% 0.89/1.25    T, U, U ), X ), Z, 'c_List_Orev'( Y, T ), U, T ) ) ],
% 0.89/1.25     [ =( 'c_List_Ofoldl'( X, Y, Z, T, U ), 'c_List_Ofoldr'( hAPP( 'c_COMBC'( 
% 0.89/1.25    T, U, T ), X ), 'c_List_Orev'( Z, U ), Y, U, T ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~( 
% 0.89/1.25    'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.89/1.25     [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.89/1.25    'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.89/1.25    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'( 
% 0.89/1.25    'tc_Lambda_OdB' ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Oappend'( 
% 0.89/1.25    'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z, 'c_List_Odrop'( 
% 0.89/1.25    'c_Suc'( Y ), X, T ), T ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_List_Omap'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_List_Oreplicate'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), X, Y ) ) ],
% 0.89/1.25     [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.25     ) ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.89/1.25    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__4'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.89/1.25    'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.89/1.25    , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.89/1.25    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__4'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.89/1.25    'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.89/1.25    , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Oshift'( 'tc_Type_Otype' ), 'v_e____' ), 'v_i____' ), 'v_T____' )
% 0.89/1.25     ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____'
% 0.89/1.25     ), 'v_rs____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'v_T_H____' ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'( 
% 0.89/1.25    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'( 
% 0.89/1.25    Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ],
% 0.89/1.25     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), 
% 0.89/1.25    'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ), 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( 
% 0.89/1.25    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), Z, 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( 
% 0.89/1.25    Y ) ), Z, Y ), X ) ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Z, 
% 0.89/1.25    'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.89/1.25     ) ), 'tc_nat' ), =( 'c_List_Oappend'( Z, T, Y ), 'c_List_Oappend'( X, 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ) ) ],
% 0.89/1.25     [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X, 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ), 'c_List_Oappend'( Z, T, Y )
% 0.89/1.25     ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.89/1.25     ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), 'tc_nat' ) )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ), 'c_List_Odrop'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Otake'( 
% 0.89/1.25    'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( 
% 0.89/1.25    Z, X, T, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 
% 0.89/1.25    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.89/1.25     [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( 
% 0.89/1.25    Z, X, T, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 
% 0.89/1.25    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 'c_Lambda_OdB_OAbs'( Y
% 0.89/1.25     ) ), 'c_Type_Otype_OFun'( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Otyping', hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), X
% 0.89/1.25     ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) ), Y ), T ) ) ) ],
% 0.89/1.25     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.89/1.25    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.89/1.25    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.89/1.25    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.89/1.25    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.89/1.25    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__4'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.89/1.25    'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.89/1.25    , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.89/1.25    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.89/1.25    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Oappend'( 'c_List_Odrop'( 
% 0.89/1.25    'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ), 'c_List_Otake'( 
% 0.89/1.25    'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y, 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ), Z ) ) ],
% 0.89/1.25     [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( 
% 0.89/1.25    Z, X, T, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 
% 0.89/1.25    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.89/1.25     [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'( 
% 0.89/1.25    Z, T, X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 
% 0.89/1.25    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), T ) ) ), ~( 'c_Type_Otypings'( X, W
% 0.89/1.25    , V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 
% 0.89/1.25    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.89/1.25    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__4'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.89/1.25    'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.89/1.25    , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.89/1.25    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.89/1.25    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'( 
% 0.89/1.25    X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'( 
% 0.89/1.25    X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'( 
% 0.89/1.25    X ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'( 
% 0.89/1.25    X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'( 
% 0.89/1.25    X ) ) ), 'c_List_Olistsp'( 'c_InductTermi_OIT', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB' ), ~( hBOOL( 
% 0.89/1.25    hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.89/1.25    'c_List_Olist_ONil'( Y ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ), 
% 0.89/1.25    =( Y, T ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ), 
% 0.89/1.25    =( X, T ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.89/1.25     ), =( X, T ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.89/1.25    'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 
% 0.89/1.25    'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.89/1.25     [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.89/1.25    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 
% 0.89/1.25    'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ), 
% 0.89/1.25    'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.89/1.25     [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.89/1.25     ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.89/1.25    , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 0.89/1.25    'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 'c_Lambda_OdB_OVar'( Y
% 0.89/1.25     ) ), hAPP( X, Y ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.89/1.25    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.89/1.25    , Y ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 0.89/1.25    'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 0.89/1.25    'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.89/1.25     [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( 
% 0.89/1.25    Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y, 
% 0.89/1.25    'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ), 
% 0.89/1.25    'c_List_Olist_ONil'( X ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ), 
% 0.89/1.25    'c_List_Olist_ONil'( X ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ), 
% 0.89/1.25    'c_List_Olist_ONil'( X ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, 
% 0.89/1.25    Z ), Z ), Y ) ],
% 0.89/1.25     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( 
% 0.89/1.25    hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( 
% 0.89/1.25    hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ), 
% 0.89/1.25    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ), 
% 0.89/1.25    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.89/1.25     [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.89/1.25    , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_List_Odistinct'( 'c_List_Odrop'( X, Y, Z ), Z ), ~( 
% 0.89/1.25    'c_List_Odistinct'( Y, Z ) ) ],
% 0.89/1.25     [ 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ), ~( 'c_List_Odistinct'( 
% 0.89/1.25    X, Y ) ) ],
% 0.89/1.25     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y
% 0.89/1.25     ), Y ) ) ],
% 0.89/1.25     [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.89/1.25    , 'c_List_Olist_ONil'( Y ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X, 
% 0.89/1.25    'c_List_Olist_ONil'( Y ) ) ],
% 0.89/1.25     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_Olift', X ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_Olift', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.89/1.25    'c_List_Olist_ONil'( Y ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.89/1.25     [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T, 
% 0.89/1.25    Y, Z ) ) ],
% 0.89/1.25     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X, Y, Z, T ), 
% 0.89/1.25    'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T
% 0.89/1.25     ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( 
% 0.89/1.25    'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.89/1.25    'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.89/1.25    , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.89/1.25     ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.89/1.25     ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ) ), ~( 
% 0.89/1.25    hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Oshift'( 'tc_Type_Otype' ), X ), T ), Z ) ), U ), W ) ) ), hBOOL( 
% 0.89/1.25    hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_Osubst', U ), Y ), T ) ), W ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.89/1.25     ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.89/1.25    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.89/1.25     [ 'c_List_Odistinct'( 'c_List_Otake'( X, Y, Z ), Z ), ~( 
% 0.89/1.25    'c_List_Odistinct'( Y, Z ) ) ],
% 0.89/1.25     [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.89/1.25    , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.89/1.25    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), 
% 0.89/1.25    'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( 
% 0.89/1.25    X ) ) ],
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'( 
% 0.89/1.25    'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ), 
% 0.89/1.25    'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.89/1.25     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 
% 0.89/1.25    'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.89/1.25     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'( 
% 0.89/1.25    Z ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 0.89/1.25     ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 0.89/1.25     [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.89/1.25     [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.89/1.25     [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.89/1.25     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( X
% 0.89/1.25    , Z, Y ), Y ) ) ],
% 0.89/1.25     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( Z
% 0.89/1.25    , X, Y ), Y ) ) ],
% 0.89/1.25     [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.89/1.25     [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( 
% 0.89/1.25    Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.89/1.25    , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.89/1.25     ],
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 0.89/1.25    'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, 
% 0.89/1.25    'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z, 
% 0.89/1.25    'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.89/1.25     [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X
% 0.89/1.25     ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.89/1.25    'c_List_Olist_ONil'( Y ) ) ],
% 0.89/1.25     [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.89/1.25    , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( 
% 0.89/1.25    'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.89/1.25    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.89/1.25    , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.89/1.25    , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), Z ), T
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.89/1.25    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.89/1.25    , 'c_List_Olist_ONil'( X ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.89/1.25    , 'c_List_Olist_ONil'( X ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.89/1.25    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.89/1.25    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.89/1.25     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 
% 0.89/1.25    'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X, 
% 0.89/1.25    'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 0.89/1.25    , Y ), Y ), Z ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.89/1.25    Z ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.89/1.25    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.89/1.25    , Y ) ],
% 0.89/1.25     [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.89/1.25    , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate'( X, Y, Z ), 
% 0.89/1.25    'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.89/1.25     ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.89/1.25     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    X ) ), Y ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.25     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', Z ), 
% 0.89/1.25    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Otyping', Z ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.89/1.25    'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.89/1.25    'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'( 
% 0.89/1.25    'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.89/1.25     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.89/1.25     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.89/1.25    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.89/1.25     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.89/1.25    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.89/1.25     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X, 
% 0.89/1.25    'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.89/1.25     [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.89/1.25     [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), 
% 0.89/1.25    'c_List_Olist_ONil'( Y ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.89/1.25    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.89/1.25     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orotate'( Z
% 0.89/1.25    , X, Y ), Y ) ) ],
% 0.89/1.25     [ 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ), ~( 
% 0.89/1.25    'c_List_Odistinct'( Y, Z ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), 
% 0.89/1.25    =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.25     [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ), 
% 0.89/1.25    'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.89/1.25     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.89/1.25    'tc_List_Olist'( Z ) ), X ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ), 
% 0.89/1.25    =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.25     [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.89/1.25    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y, 
% 0.89/1.25    'c_List_Olist_ONil'( X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.89/1.25    'tc_bool' ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.89/1.25    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( 
% 0.89/1.25    Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), U
% 0.89/1.25    , T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.89/1.25     ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.89/1.25    , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.89/1.25     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.89/1.25    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.89/1.25     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.89/1.25    'tc_bool' ) ), X ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X
% 0.89/1.25    , 'tc_List_Olist'( Y ) ), Z, Y ), 'c_List_Oappend'( 'c_List_Odrop'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.89/1.25     ), T ) ), ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 
% 0.89/1.25    'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~( =( Z, 'c_List_Otake'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ) ) ), =( 
% 0.89/1.25    'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'( 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.89/1.25     ), 'c_List_Oappend'( X, T, Y ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.89/1.25     ) ), =( X, T ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.89/1.25     ) ), =( Y, U ) ],
% 0.89/1.25     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.89/1.25    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.89/1.25     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.89/1.25    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ), ~( 
% 0.89/1.25    'c_Lambda_Obeta'( T, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping'
% 0.89/1.25    , X ), T ), Z ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.89/1.25    Z ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 0.89/1.25    , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 0.89/1.25    , T ) ), =( Y, U ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'( 
% 0.89/1.25    Z ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.89/1.25    'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y, 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.89/1.25     [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.89/1.25     ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.89/1.25     [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP( 
% 0.89/1.25    'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.89/1.25    , V4 ), W ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ), 
% 0.89/1.25    X ) ) ],
% 0.89/1.25     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( 
% 0.89/1.25    Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.89/1.25    hAPP( X, T ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 
% 0.89/1.25    'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T, 
% 0.89/1.25    'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.89/1.25     ) ],
% 0.89/1.25     [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 
% 0.89/1.25    'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T, 
% 0.89/1.25    'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.89/1.25     ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.89/1.25     [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 0.89/1.25    , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 
% 0.89/1.25    'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 
% 0.89/1.25    'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Oshift'( 'tc_Type_Otype' ), X ), Y ), Z ) ), hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_Olift', T ), Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Otyping', X ), T ), U ) ) ) ],
% 0.89/1.25     [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( hAPP( hAPP( 
% 0.89/1.25    'c_COMBC'( 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_Lambda_Olift'
% 0.89/1.25     ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 
% 0.89/1.25    'c_InductTermi_OIT', X, 'tc_Lambda_OdB' ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.89/1.25    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.89/1.25    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'( 
% 0.89/1.25    Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.89/1.25     ), X ), Y ) ],
% 0.89/1.25     [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ), 
% 0.89/1.25    'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ) ), =( 'c_List_Omap'( X
% 0.89/1.25    , Y, Z, Z ), Y ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.89/1.25    , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.89/1.25    'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~( 
% 0.89/1.25    'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.89/1.25     [ 'c_List_Olistsp'( X, Y, Z ), ~( hBOOL( hAPP( X, 
% 0.89/1.25    'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.89/1.25    , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ), 
% 0.89/1.25    'c_List_Omap'( hAPP( hAPP( 'c_COMBC'( 'tc_Lambda_OdB', 'tc_nat', 
% 0.89/1.25    'tc_Lambda_OdB' ), 'c_Lambda_Olift' ), Z ), Y, 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.89/1.25     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Omap'( Z, X
% 0.89/1.25    , Y, T ), T ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.89/1.25    , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), 
% 0.89/1.25    ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.89/1.25     [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ), 
% 0.89/1.25    'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.89/1.25     ), U ) ) ],
% 0.89/1.25     [ 'c_List_Olistsp'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.89/1.25    'tc_fun'( Z, 'tc_bool' ) ), T, Z ), ~( 'c_List_Olistsp'( Y, T, Z ) ), ~( 
% 0.89/1.25    'c_List_Olistsp'( X, T, Z ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'( 
% 0.89/1.25    X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.89/1.25    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.89/1.25    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.89/1.25    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ), 
% 0.89/1.25    =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 
% 0.89/1.25    'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.89/1.25     ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.89/1.25     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.89/1.25    , 'c_List_Olist_ONil'( T ) ) ],
% 0.89/1.25     [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ), 
% 0.89/1.25    'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.89/1.25     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z, T ), 
% 0.89/1.25    'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.89/1.25     ) ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'( 
% 0.89/1.25    'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.89/1.25    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( hAPP( hAPP( 'c_COMBC'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_COMBC'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) )
% 0.89/1.25    , 'c_Lambda_Osubst' ), Z ) ), T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.89/1.25    , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.89/1.25     [ =( 'c_List_Orotate'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 
% 0.89/1.25    'c_List_Omap'( Y, 'c_List_Orotate'( X, Z, T ), T, U ) ) ],
% 0.89/1.25     [ ~( =( 'v_n____', 'v_i____' ) ) ],
% 0.89/1.25     [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.89/1.25     [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X, 
% 0.89/1.25    'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 0.89/1.25     [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ), 
% 0.89/1.25    hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'( 
% 0.89/1.25    X, T ) ) ],
% 0.89/1.25     [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'( 
% 0.89/1.25    T, Y, Z ), Z ) ) ],
% 0.89/1.25     [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'( 
% 0.89/1.25    Y, T, Z ), Z ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.89/1.25     [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) )
% 0.89/1.25    , hAPP( Y, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) ) ) ), 
% 0.89/1.25    =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.89/1.25     [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'( 
% 0.89/1.25    Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP( 
% 0.89/1.25    T, W ), U ) ) ],
% 0.89/1.25     [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ), 
% 0.89/1.25    'c_List_Olist_ONil'( Z ) ) ],
% 0.89/1.25     [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ), 
% 0.89/1.25    'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.89/1.25     [ 'c_Type_Otypings'( X, 'c_List_Omap'( hAPP( hAPP( 'c_COMBC'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_COMBC'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) )
% 0.89/1.25    , 'c_Lambda_Osubst' ), Y ) ), Z ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.89/1.25    , U ), ~( 'c_Type_Otypings'( hAPP( hAPP( hAPP( 'c_Type_Oshift'( 
% 0.89/1.25    'tc_Type_Otype' ), X ), Z ), W ), T, U ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.89/1.25    'c_Type_Otyping', X ), Y ), W ) ) ) ],
% 0.89/1.25     [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ), 
% 0.89/1.25    'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.89/1.25     ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.89/1.25     [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ), 
% 0.89/1.25    'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~( 
% 0.89/1.25    hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.89/1.25     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.89/1.25     [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U )
% 0.89/1.25     ), hAPP( Y, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U ) ) ) )
% 0.89/1.25    , =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.89/1.25     [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, 
% 0.89/1.25    U ) ), hAPP( Y, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, U
% 0.89/1.25     ) ) ) ), =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'c_Type_Otypings'( hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype'
% 0.89/1.25     ), X ), Y ), Z ), 'c_List_Omap'( hAPP( hAPP( 'c_COMBC'( 'tc_Lambda_OdB'
% 0.89/1.25    , 'tc_nat', 'tc_Lambda_OdB' ), 'c_Lambda_Olift' ), Y ), T, 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 'c_Type_Otypings'( X, T, U )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift', 
% 0.89/1.25    X ), Y ) ), Z ), Y ), X ) ],
% 0.89/1.25     [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U ), U, W ), 
% 0.89/1.25    'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP( X, T ), W )
% 0.89/1.25     ) ],
% 0.89/1.25     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.89/1.25     ), Z, X ) ) ],
% 0.89/1.25     [ 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_bool', 
% 0.89/1.25    'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 
% 0.89/1.25    'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' ), hAPP( hAPP( 'c_COMBB'( 
% 0.89/1.25    'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool', 
% 0.89/1.25    'tc_Lambda_OdB' ), 'c_All'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 
% 0.89/1.25    hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 
% 0.89/1.25    'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 
% 0.89/1.25    'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP( 
% 0.89/1.25    'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'( 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 
% 0.89/1.25    'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 
% 0.89/1.25    hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool', 
% 0.89/1.25    'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 
% 0.89/1.25    'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 
% 0.89/1.25    'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 0.89/1.25    , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 0.89/1.25     ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.89/1.25    'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP( 
% 0.89/1.25    'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 0.89/1.25     ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 
% 0.89/1.25    'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'( 
% 0.89/1.25    'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 0.89/1.25     ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'( 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 0.89/1.25    , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 0.89/1.25    , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 
% 0.89/1.25    'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 
% 0.89/1.25    'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 0.89/1.25    , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 0.89/1.25    , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 0.89/1.25    , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 0.89/1.25     ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 0.89/1.25    , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 
% 0.89/1.25    'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 
% 0.89/1.25    'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 
% 0.89/1.25    'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 0.89/1.25     ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 0.89/1.25    , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 0.89/1.25     ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 0.89/1.25     ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool', 
% 0.89/1.25    'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 
% 0.89/1.25    'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 
% 0.89/1.25    'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 0.89/1.25    , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 0.89/1.25     ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 0.89/1.25    , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 
% 0.89/1.25    'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 0.89/1.25    , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 0.89/1.25     ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( 
% 0.89/1.25    'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( 
% 0.89/1.25    hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 0.89/1.25    , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP( 
% 0.89/1.25    hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP( 
% 0.89/1.25    'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ), 
% 0.89/1.25    'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 0.89/1.25    , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 
% 0.89/1.25    'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 
% 0.89/1.25    'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 
% 0.89/1.25    'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ), 
% 0.89/1.25    'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 0.89/1.25     ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 0.89/1.25    , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 
% 0.89/1.25    hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 
% 0.89/1.25    'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 
% 0.89/1.25    'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.89/1.25     ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 0.89/1.25    , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 
% 0.89/1.25    'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 
% 0.89/1.25    'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 
% 0.89/1.25    'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'( 
% 0.89/1.25    'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB', 
% 0.89/1.25    'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 0.89/1.25     ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 0.89/1.25    , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ), 
% 0.89/1.25    hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ), 
% 0.89/1.25    'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ) ) ), hAPP( 
% 0.89/1.25    hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 
% 0.89/1.25    'tc_Lambda_OdB' ), 'c_Ex'( 'tc_Type_Otype' ) ), hAPP( 'c_Type_Otyping', 
% 0.89/1.25    hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), 'v_e____' ), 
% 0.89/1.25    'v_i____' ), 'v_T____' ) ) ) ), 'v_rs____', 'tc_Lambda_OdB' ) ],
% 0.89/1.25     [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( hAPP( hAPP( 
% 0.89/1.25    'c_COMBC'( 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), hAPP( hAPP( 
% 0.89/1.25    'c_COMBC'( 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 
% 0.89/1.25    'tc_Lambda_OdB' ) ), 'c_Lambda_Osubst' ), 'v_u____' ) ), 'v_i____' ), 
% 0.89/1.25    'v_rs____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ]
% 0.89/1.25    ,
% 0.89/1.25     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.25     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.25     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.25     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.89/1.25    'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.25     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.89/1.25     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Lattices_Olower__semilattice'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Lattices_Olattice'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP( 
% 0.89/1.25    T, W ), U ) ) ],
% 0.89/1.25     [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T, 
% 0.89/1.25    hAPP( U, W ) ) ) ],
% 0.89/1.25     [ 'c_fequal'( X, X, Y ) ],
% 0.89/1.25     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.89/1.25  ] .
% 0.89/1.25  
% 0.89/1.25  
% 0.89/1.25  percentage equality = 0.425556, percentage horn = 0.907923
% 0.89/1.25  This is a problem with some equality
% 0.89/1.25  
% 0.89/1.25  
% 0.89/1.25  
% 0.89/1.25  Options Used:
% 0.89/1.25  
% 0.89/1.25  useres =            1
% 0.89/1.25  useparamod =        1
% 0.89/1.25  useeqrefl =         1
% 0.89/1.25  useeqfact =         1
% 0.89/1.25  usefactor =         1
% 0.89/1.25  usesimpsplitting =  0
% 0.89/1.25  usesimpdemod =      5
% 0.89/1.25  usesimpres =        3
% 0.89/1.25  
% 0.89/1.25  resimpinuse      =  1000
% 0.89/1.25  resimpclauses =     20000
% 0.89/1.25  substype =          eqrewr
% 0.89/1.25  backwardsubs =      1
% 0.89/1.25  selectoldest =      5
% 0.89/1.25  
% 0.89/1.25  litorderings [0] =  split
% 0.89/1.25  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.89/1.25  
% 0.89/1.25  termordering =      kbo
% 0.89/1.25  
% 0.89/1.25  litapriori =        0
% 0.89/1.25  termapriori =       1
% 0.89/1.25  litaposteriori =    0
% 0.89/1.25  termaposteriori =   0
% 0.89/1.25  demodaposteriori =  0
% 0.89/1.25  ordereqreflfact =   0
% 0.89/1.25  
% 0.89/1.25  litselect =         negord
% 0.89/1.25  
% 0.89/1.25  maxweight =         15
% 0.89/1.25  maxdepth =          30000
% 0.89/1.25  maxlength =         115
% 0.89/1.25  maxnrvars =         195
% 0.89/1.25  excuselevel =       1
% 0.89/1.25  increasemaxweight = 1
% 0.89/1.25  
% 0.89/1.25  maxselected =       10000000
% 0.89/1.25  maxnrclauses =      10000000
% 0.89/1.25  
% 0.89/1.25  showgenerated =    0
% 0.89/1.25  showkept =         0
% 0.89/1.25  showselected =     0
% 0.89/1.25  showdeleted =      0
% 0.89/1.25  showresimp =       1
% 0.89/1.25  showstatus =       2000
% 0.89/1.25  
% 0.89/1.25  prologoutput =     1
% 0.89/1.25  nrgoals =          5000000
% 0.89/1.25  totalproof =       1
% 0.89/1.25  
% 0.89/1.25  Symbols occurring in the translation:
% 0.89/1.25  
% 0.89/1.25  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.89/1.25  .  [1, 2]      (w:1, o:148, a:1, s:1, b:0), 
% 0.89/1.25  !  [4, 1]      (w:0, o:112, a:1, s:1, b:0), 
% 0.89/1.25  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.89/1.25  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.89/1.25  'tc_nat'  [40, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 3.12/3.50  'c_HOL_Ozero__class_Ozero'  [41, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 3.12/3.50  'c_HOL_Ominus__class_Ominus'  [42, 3]      (w:1, o:181, a:1, s:1, b:0), 
% 3.12/3.50  'c_Suc'  [44, 1]      (w:1, o:118, a:1, s:1, b:0), 
% 3.12/3.50  'c_Divides_Odiv__class_Omod'  [49, 3]      (w:1, o:186, a:1, s:1, b:0), 
% 3.12/3.50  'c_lessequals'  [50, 3]      (w:1, o:187, a:1, s:1, b:0), 
% 3.12/3.50  'c_HOL_Oord__class_Oless'  [51, 3]      (w:1, o:188, a:1, s:1, b:0), 
% 3.12/3.50  'class_Orderings_Opreorder'  [55, 1]      (w:1, o:120, a:1, s:1, b:0), 
% 3.12/3.50  'class_Orderings_Oorder'  [56, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 3.12/3.50  'class_Orderings_Olinorder'  [57, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 3.12/3.50  'class_Ring__and__Field_Oordered__idom'  [58, 1]      (w:1, o:122, a:1, s:1
% 3.12/3.50    , b:0), 
% 3.12/3.50  hAPP  [60, 2]      (w:1, o:173, a:1, s:1, b:0), 
% 3.12/3.50  hBOOL  [61, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 3.12/3.50  'class_Divides_Oring__div'  [62, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 3.12/3.50  'class_OrderedGroup_Opordered__ab__group__add'  [68, 1]      (w:1, o:125
% 3.12/3.50    , a:1, s:1, b:0), 
% 3.12/3.50  'class_Lattices_Olower__semilattice'  [69, 1]      (w:1, o:126, a:1, s:1
% 3.12/3.50    , b:0), 
% 3.12/3.50  'c_Lattices_Olower__semilattice__class_Oinf'  [70, 3]      (w:1, o:189, a:1
% 3.12/3.50    , s:1, b:0), 
% 3.12/3.50  'class_Ring__and__Field_Oidom'  [71, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 3.12/3.50  'class_Int_Onumber__ring'  [72, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 3.12/3.50  'class_OrderedGroup_Ogroup__add'  [73, 1]      (w:1, o:129, a:1, s:1, b:0)
% 3.12/3.50    , 
% 3.12/3.50  'class_OrderedGroup_Oab__group__add'  [74, 1]      (w:1, o:130, a:1, s:1
% 3.12/3.50    , b:0), 
% 3.12/3.50  'c_List_Oappend'  [79, 3]      (w:1, o:190, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Ofoldr'  [80, 5]      (w:1, o:208, a:1, s:1, b:0), 
% 3.12/3.50  'class_Divides_Osemiring__div'  [82, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 3.12/3.50  'c_COMBK'  [84, 3]      (w:1, o:182, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Olist_ONil'  [86, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 3.12/3.50  'class_Int_Oring__char__0'  [90, 1]      (w:1, o:133, a:1, s:1, b:0), 
% 3.12/3.50  'c_Int_Onumber__class_Onumber__of'  [91, 2]      (w:1, o:174, a:1, s:1, b:0
% 3.12/3.50    ), 
% 3.12/3.50  'tc_List_Olist'  [93, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 3.12/3.50  'c_Nat_Osize__class_Osize'  [94, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Olist_OCons'  [96, 3]      (w:1, o:191, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Odrop'  [97, 3]      (w:1, o:192, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Otake'  [102, 3]      (w:1, o:195, a:1, s:1, b:0), 
% 3.12/3.50  'c_Lambda_OdB_OAbs'  [104, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 3.12/3.50  'c_Lambda_OdB_OApp'  [105, 0]      (w:1, o:65, a:1, s:1, b:0), 
% 3.12/3.50  'tc_Lambda_OdB'  [108, 0]      (w:1, o:69, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Ofoldl'  [109, 5]      (w:1, o:209, a:1, s:1, b:0), 
% 3.12/3.50  'class_Int_Onumber'  [110, 1]      (w:1, o:136, a:1, s:1, b:0), 
% 3.12/3.50  'class_Lattices_Olattice'  [112, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 3.12/3.50  'c_Type_Oshift'  [113, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 3.12/3.50  'c_Type_Otype_OFun'  [118, 2]      (w:1, o:176, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Olist__update'  [121, 4]      (w:1, o:202, a:1, s:1, b:0), 
% 3.12/3.50  'c_Type_Otyping'  [122, 0]      (w:1, o:75, a:1, s:1, b:0), 
% 3.12/3.50  'v_e____'  [123, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 3.12/3.50  'v_u____'  [124, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 3.12/3.50  'v_T____'  [125, 0]      (w:1, o:78, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Orev'  [126, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Orotate'  [127, 3]      (w:1, o:196, a:1, s:1, b:0), 
% 3.12/3.50  'c_List_Oreplicate'  [129, 3]      (w:1, o:197, a:1, s:1, b:0), 
% 3.12/3.50  'c_Lambda_Osubst'  [132, 0]      (w:1, o:85, a:1, s:1, b:0), 
% 3.12/3.50  'c_Lambda_OdB_OVar'  [133, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 3.12/3.50  'c_Lambda_Olift'  [135, 0]      (w:1, o:86, a:1, s:1, b:0), 
% 3.12/3.50  'c_InductTermi_OIT'  [138, 0]      (w:1, o:87, a:1, s:1, b:0), 
% 3.12/3.50  'tc_Type_Otype'  [139, 0]      (w:1, o:88, a:1, s:1, b:0), 
% 3.12/3.50  'v_sko__InductTermi__XIT__Xcases__4'  [141, 1]      (w:1, o:143, a:1, s:1
% 3.12/3.50    , b:0), 
% 3.12/3.50  'v_sko__InductTermi__XIT__Xcases__5'  [142, 1]      (w:1, o:144, a:1, s:1
% 3.12/3.50    , b:0), 
% 3.12/3.50  'v_sko__InductTermi__XIT__Xcases__6'  [143, 1]      (w:1, o:145, a:1, s:1
% 3.12/3.50    , b:0), 
% 3.12/3.50  'v_sko__InductTermi__XIT__Xcases__3'  [144, 1]      (w:1, o:142, a:1, s:1
% 3.12/3.50    , b:0), 
% 3.12/3.50  'v_sko__InductTermi__XIT__Xcases__2'  [145, 1]      (w:1, o:141, a:1, s:1
% 3.12/3.50    , b:0), 
% 3.12/3.50  'v_sko__InductTermi__XIT__Xcases__1'  [146, 1]      (w:1, o:140, a:1, s:1
% 3.12/3.50    , b:0), 
% 3.12/3.50  'c_COMBC'  [147, 3]      (w:1, o:184, a:1, s:1, b:0), 
% 23.73/24.13  'c_List_Omap'  [149, 4]      (w:1, o:203, a:1, s:1, b:0), 
% 23.73/24.13  'v_i____'  [150, 0]      (w:1, o:89, a:1, s:1, b:0), 
% 23.73/24.13  'v_n____'  [151, 0]      (w:1, o:90, a:1, s:1, b:0), 
% 23.73/24.13  'v_rs____'  [152, 0]      (w:1, o:91, a:1, s:1, b:0), 
% 23.73/24.13  'v_T_H____'  [153, 0]      (w:1, o:92, a:1, s:1, b:0), 
% 23.73/24.13  'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'  [155, 3]      (w:
% 23.73/24.13    1, o:198, a:1, s:1, b:0), 
% 23.73/24.13  'c_Lambda_Obeta'  [156, 2]      (w:1, o:178, a:1, s:1, b:0), 
% 23.73/24.13  'c_Type_Osko__Type__Xlist__app__typeD__1__1'  [158, 4]      (w:1, o:204, a:
% 23.73/24.13    1, s:1, b:0), 
% 23.73/24.13  'c_Type_Otypings'  [159, 3]      (w:1, o:199, a:1, s:1, b:0), 
% 23.73/24.13  'c_Type_Osko__Type__Xlist__app__typeE__1__1'  [160, 4]      (w:1, o:205, a:
% 23.73/24.13    1, s:1, b:0), 
% 23.73/24.13  'c_List_Olistsp'  [161, 3]      (w:1, o:200, a:1, s:1, b:0), 
% 23.73/24.13  'c_Type_Osko__Type__Xvar__app__typesE__1__1'  [162, 4]      (w:1, o:206, a:
% 23.73/24.13    1, s:1, b:0), 
% 23.73/24.13  'c_Type_Osko__Type__Xvar__app__types__1__1'  [164, 4]      (w:1, o:207, a:1
% 23.73/24.13    , s:1, b:0), 
% 23.73/24.13  'tc_bool'  [169, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 23.73/24.13  'tc_fun'  [170, 2]      (w:1, o:179, a:1, s:1, b:0), 
% 23.73/24.13  'c_List_Odistinct'  [173, 2]      (w:1, o:180, a:1, s:1, b:0), 
% 23.73/24.13  'c_Fun_Ocomp'  [179, 5]      (w:1, o:210, a:1, s:1, b:0), 
% 23.73/24.13  'c_List_Osko__List__Xmap__idI__1__1'  [194, 3]      (w:1, o:193, a:1, s:1
% 23.73/24.13    , b:0), 
% 23.73/24.13  'c_List_Osko__List__Xin__listsp__conv__set__1__1'  [195, 3]      (w:1, o:
% 23.73/24.13    194, a:1, s:1, b:0), 
% 23.73/24.13  'v_ua______'  [196, 0]      (w:1, o:103, a:1, s:1, b:0), 
% 23.73/24.13  'c_List_Osko__List__Xmap__ext__1__1'  [197, 5]      (w:1, o:211, a:1, s:1
% 23.73/24.13    , b:0), 
% 23.73/24.13  'c_List_Osko__List__Xmap__cong__1__1'  [200, 5]      (w:1, o:212, a:1, s:1
% 23.73/24.13    , b:0), 
% 23.73/24.13  'c_List_Osko__List__Xmap__eq__conv__1__1'  [201, 5]      (w:1, o:213, a:1
% 23.73/24.13    , s:1, b:0), 
% 23.73/24.13  'c_COMBS'  [202, 3]      (w:1, o:185, a:1, s:1, b:0), 
% 23.73/24.13  'c_COMBB'  [203, 3]      (w:1, o:183, a:1, s:1, b:0), 
% 23.73/24.13  'c_and'  [204, 0]      (w:1, o:105, a:1, s:1, b:0), 
% 23.73/24.13  'c_All'  [205, 1]      (w:1, o:146, a:1, s:1, b:0), 
% 23.73/24.13  'c_implies'  [206, 0]      (w:1, o:106, a:1, s:1, b:0), 
% 23.73/24.13  'c_Ex'  [207, 1]      (w:1, o:147, a:1, s:1, b:0), 
% 23.73/24.13  'tc_Int_Oint'  [210, 0]      (w:1, o:109, a:1, s:1, b:0), 
% 23.73/24.13  'c_fequal'  [211, 3]      (w:1, o:201, a:1, s:1, b:0).
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Starting Search:
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    6332
% 23.73/24.13  Kept:         2300
% 23.73/24.13  Inuse:        111
% 23.73/24.13  Deleted:      2
% 23.73/24.13  Deletedinuse: 0
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    13604
% 23.73/24.13  Kept:         4314
% 23.73/24.13  Inuse:        233
% 23.73/24.13  Deleted:      2
% 23.73/24.13  Deletedinuse: 0
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    23163
% 23.73/24.13  Kept:         6396
% 23.73/24.13  Inuse:        319
% 23.73/24.13  Deleted:      2
% 23.73/24.13  Deletedinuse: 0
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    34737
% 23.73/24.13  Kept:         8822
% 23.73/24.13  Inuse:        356
% 23.73/24.13  Deleted:      6
% 23.73/24.13  Deletedinuse: 1
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    44901
% 23.73/24.13  Kept:         10898
% 23.73/24.13  Inuse:        410
% 23.73/24.13  Deleted:      18
% 23.73/24.13  Deletedinuse: 2
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    53069
% 23.73/24.13  Kept:         13002
% 23.73/24.13  Inuse:        463
% 23.73/24.13  Deleted:      25
% 23.73/24.13  Deletedinuse: 7
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    63166
% 23.73/24.13  Kept:         15492
% 23.73/24.13  Inuse:        515
% 23.73/24.13  Deleted:      33
% 23.73/24.13  Deletedinuse: 7
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    72812
% 23.73/24.13  Kept:         17626
% 23.73/24.13  Inuse:        550
% 23.73/24.13  Deleted:      33
% 23.73/24.13  Deletedinuse: 7
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    81292
% 23.73/24.13  Kept:         19702
% 23.73/24.13  Inuse:        573
% 23.73/24.13  Deleted:      35
% 23.73/24.13  Deletedinuse: 7
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying clauses:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    93850
% 23.73/24.13  Kept:         22439
% 23.73/24.13  Inuse:        608
% 23.73/24.13  Deleted:      602
% 23.73/24.13  Deletedinuse: 10
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    104911
% 23.73/24.13  Kept:         24816
% 23.73/24.13  Inuse:        648
% 23.73/24.13  Deleted:      602
% 23.73/24.13  Deletedinuse: 10
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  Resimplifying inuse:
% 23.73/24.13  Done
% 23.73/24.13  
% 23.73/24.13  
% 23.73/24.13  Intermediate Status:
% 23.73/24.13  Generated:    113848
% 23.73/24.13  Kept:         26933
% 23.73/24.13  Inuse:        658
% 23.73/24.13  Deleted:      602
% 59.98/60.43  Deletedinuse: 10
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    123844
% 59.98/60.43  Kept:         28937
% 59.98/60.43  Inuse:        711
% 59.98/60.43  Deleted:      602
% 59.98/60.43  Deletedinuse: 10
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    131611
% 59.98/60.43  Kept:         31000
% 59.98/60.43  Inuse:        748
% 59.98/60.43  Deleted:      603
% 59.98/60.43  Deletedinuse: 11
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    143228
% 59.98/60.43  Kept:         33013
% 59.98/60.43  Inuse:        776
% 59.98/60.43  Deleted:      604
% 59.98/60.43  Deletedinuse: 11
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    153825
% 59.98/60.43  Kept:         35634
% 59.98/60.43  Inuse:        797
% 59.98/60.43  Deleted:      604
% 59.98/60.43  Deletedinuse: 11
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    162694
% 59.98/60.43  Kept:         38137
% 59.98/60.43  Inuse:        802
% 59.98/60.43  Deleted:      604
% 59.98/60.43  Deletedinuse: 11
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying clauses:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    170543
% 59.98/60.43  Kept:         40175
% 59.98/60.43  Inuse:        815
% 59.98/60.43  Deleted:      887
% 59.98/60.43  Deletedinuse: 11
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    179384
% 59.98/60.43  Kept:         42187
% 59.98/60.43  Inuse:        834
% 59.98/60.43  Deleted:      890
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    187066
% 59.98/60.43  Kept:         44202
% 59.98/60.43  Inuse:        853
% 59.98/60.43  Deleted:      890
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    193458
% 59.98/60.43  Kept:         46260
% 59.98/60.43  Inuse:        867
% 59.98/60.43  Deleted:      890
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    200675
% 59.98/60.43  Kept:         48308
% 59.98/60.43  Inuse:        892
% 59.98/60.43  Deleted:      890
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    207591
% 59.98/60.43  Kept:         50572
% 59.98/60.43  Inuse:        912
% 59.98/60.43  Deleted:      890
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    215075
% 59.98/60.43  Kept:         52851
% 59.98/60.43  Inuse:        932
% 59.98/60.43  Deleted:      890
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    226292
% 59.98/60.43  Kept:         56126
% 59.98/60.43  Inuse:        939
% 59.98/60.43  Deleted:      890
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    232272
% 59.98/60.43  Kept:         58167
% 59.98/60.43  Inuse:        954
% 59.98/60.43  Deleted:      890
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    249920
% 59.98/60.43  Kept:         61199
% 59.98/60.43  Inuse:        967
% 59.98/60.43  Deleted:      890
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying clauses:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    263101
% 59.98/60.43  Kept:         63765
% 59.98/60.43  Inuse:        977
% 59.98/60.43  Deleted:      1038
% 59.98/60.43  Deletedinuse: 14
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    272774
% 59.98/60.43  Kept:         65789
% 59.98/60.43  Inuse:        1011
% 59.98/60.43  Deleted:      1039
% 59.98/60.43  Deletedinuse: 15
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    280369
% 59.98/60.43  Kept:         67794
% 59.98/60.43  Inuse:        1026
% 59.98/60.43  Deleted:      1039
% 59.98/60.43  Deletedinuse: 15
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    293954
% 59.98/60.43  Kept:         69809
% 59.98/60.43  Inuse:        1036
% 59.98/60.43  Deleted:      1039
% 59.98/60.43  Deletedinuse: 15
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    307499
% 59.98/60.43  Kept:         71880
% 59.98/60.43  Inuse:        1057
% 59.98/60.43  Deleted:      1039
% 59.98/60.43  Deletedinuse: 15
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    317859
% 59.98/60.43  Kept:         75669
% 59.98/60.43  Inuse:        1082
% 59.98/60.43  Deleted:      1039
% 59.98/60.43  Deletedinuse: 15
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    329178
% 59.98/60.43  Kept:         77720
% 59.98/60.43  Inuse:        1108
% 59.98/60.43  Deleted:      1039
% 59.98/60.43  Deletedinuse: 15
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    353131
% 59.98/60.43  Kept:         80420
% 59.98/60.43  Inuse:        1112
% 59.98/60.43  Deleted:      1039
% 59.98/60.43  Deletedinuse: 15
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying clauses:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    362608
% 59.98/60.43  Kept:         82564
% 59.98/60.43  Inuse:        1127
% 59.98/60.43  Deleted:      1196
% 59.98/60.43  Deletedinuse: 15
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  Resimplifying inuse:
% 59.98/60.43  Done
% 59.98/60.43  
% 59.98/60.43  
% 59.98/60.43  Intermediate Status:
% 59.98/60.43  Generated:    379503
% 59.98/60.43  Kept:         84578
% 59.98/60.43  Inuse:        1161
% 215.25/215.64  Deleted:      1196
% 215.25/215.64  Deletedinuse: 15
% 215.25/215.64  
% 215.25/215.64  Resimplifying inuse:
% 215.25/215.64  Done
% 215.25/215.64  
% 215.25/215.64  
% 215.25/215.64  Intermediate Status:
% 215.25/215.64  Generated:    391038
% 215.25/215.64  Kept:         86605
% 215.25/215.64  Inuse:        1178
% 215.25/215.64  Deleted:      1196
% 215.25/215.64  Deletedinuse: 15
% 215.25/215.64  
% 215.25/215.64  Resimplifying inuse:
% 215.25/215.64  Done
% 215.25/215.64  
% 215.25/215.64  
% 215.25/215.64  Intermediate Status:
% 215.25/215.64  Generated:    403288
% 215.25/215.64  Kept:         88886
% 215.25/215.64  Inuse:        1192
% 215.25/215.64  Deleted:      1196
% 215.25/215.64  Deletedinuse: 15
% 215.25/215.64  
% 215.25/215.64  Resimplifying inuse:
% 215.25/215.64  Done
% 215.25/215.64  
% 215.25/215.64  Resimplifying inuse:
% 215.25/215.64  Done
% 215.25/215.64  
% 215.25/215.64  
% 215.25/215.64  Intermediate Status:
% 215.25/215.64  Generated:    416312
% 215.25/215.64  Kept:         90942
% 215.25/215.64  Inuse:        1217
% 215.25/215.64  Deleted:      1197
% 215.25/215.64  Deletedinuse: 16
% 215.25/215.64  
% 215.25/215.64  Resimplifying inuse:
% 215.25/215.64  Done
% 215.25/215.64  
% 215.25/215.64  Resimplifying inuse:
% 215.25/215.64  Done
% 215.25/215.64  
% 215.25/215.64  
% 215.25/215.64  Intermediate Status:
% 215.25/215.64  Generated:    428611
% 215.25/215.64  Kept:         92976
% 215.25/215.64  Inuse:        1248
% 215.25/215.64  Deleted:      1197
% 215.25/215.64  Deletedinuse: 16
% 215.25/215.64  
% 215.25/215.64  
% 215.25/215.64  Intermediate Status:
% 215.25/215.64  Generated:    434885
% 215.25/215.64  Kept:         95122
% 215.25/215.64  Inuse:        1252
% 215.25/215.64  Deleted:      1197
% 215.25/215.64  Deletedinuse: 16
% 215.25/215.64  
% 215.25/215.64  Resimplifying inuse:
% 215.25/215.64  Done
% 215.25/215.64  
% 215.25/215.64  
% 215.25/215.64  Intermediate Status:
% 215.25/215.64  Generated:    441698
% 215.25/215.64  Kept:         97350
% 215.25/215.64  Inuse:        1257
% 215.25/215.64  Deleted:      1198
% 215.25/215.64  Deletedinuse: 17
% 215.25/215.64  
% 215.25/215.64  Resimplifying inuse:
% 215.25/215.64  Done
% 215.25/215.64  
% 215.25/215.64  
% 215.25/215.64  Intermediate Status:
% 215.25/215.64  Generated:    451795
% 215.25/215.64  Kept:         99454
% 215.25/215.65  Inuse:        1267
% 215.25/215.65  Deleted:      1198
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    462212
% 215.25/215.65  Kept:         101458
% 215.25/215.65  Inuse:        1286
% 215.25/215.65  Deleted:      1198
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying clauses:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    490620
% 215.25/215.65  Kept:         104672
% 215.25/215.65  Inuse:        1297
% 215.25/215.65  Deleted:      1450
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    515818
% 215.25/215.65  Kept:         107660
% 215.25/215.65  Inuse:        1307
% 215.25/215.65  Deleted:      1450
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    544771
% 215.25/215.65  Kept:         113099
% 215.25/215.65  Inuse:        1317
% 215.25/215.65  Deleted:      1450
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    554670
% 215.25/215.65  Kept:         115531
% 215.25/215.65  Inuse:        1332
% 215.25/215.65  Deleted:      1450
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    565569
% 215.25/215.65  Kept:         118563
% 215.25/215.65  Inuse:        1347
% 215.25/215.65  Deleted:      1450
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    574695
% 215.25/215.65  Kept:         120907
% 215.25/215.65  Inuse:        1357
% 215.25/215.65  Deleted:      1450
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    582619
% 215.25/215.65  Kept:         124854
% 215.25/215.65  Inuse:        1362
% 215.25/215.65  Deleted:      1450
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying clauses:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    589617
% 215.25/215.65  Kept:         128756
% 215.25/215.65  Inuse:        1367
% 215.25/215.65  Deleted:      1526
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    614479
% 215.25/215.65  Kept:         132300
% 215.25/215.65  Inuse:        1377
% 215.25/215.65  Deleted:      1526
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    640856
% 215.25/215.65  Kept:         135316
% 215.25/215.65  Inuse:        1387
% 215.25/215.65  Deleted:      1526
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    655558
% 215.25/215.65  Kept:         137357
% 215.25/215.65  Inuse:        1398
% 215.25/215.65  Deleted:      1526
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    664416
% 215.25/215.65  Kept:         139418
% 215.25/215.65  Inuse:        1422
% 215.25/215.65  Deleted:      1526
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    671934
% 215.25/215.65  Kept:         141867
% 215.25/215.65  Inuse:        1437
% 215.25/215.65  Deleted:      1526
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    680646
% 215.25/215.65  Kept:         144325
% 215.25/215.65  Inuse:        1447
% 215.25/215.65  Deleted:      1526
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying clauses:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    690523
% 215.25/215.65  Kept:         146775
% 215.25/215.65  Inuse:        1477
% 215.25/215.65  Deleted:      1538
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    700517
% 215.25/215.65  Kept:         148998
% 215.25/215.65  Inuse:        1507
% 215.25/215.65  Deleted:      1538
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  Resimplifying inuse:
% 215.25/215.65  Done
% 215.25/215.65  
% 215.25/215.65  
% 215.25/215.65  Intermediate Status:
% 215.25/215.65  Generated:    712975
% 215.25/215.65  Kept:         151630
% 215.25/215.65  Inuse:        1527
% 215.25/215.65  Deleted:      1538
% 215.25/215.65  Deletedinuse: 17
% 215.25/215.65  
% 215.25/215.65  RCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------