TSTP Solution File: LCL810-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL810-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Sun Jul 17 07:58:17 EDT 2022

% Result   : Timeout 300.05s 300.45s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : LCL810-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.07  % Command  : bliksem %s
% 0.08/0.26  % Computer : n014.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit : 300
% 0.08/0.26  % DateTime : Mon Jul  4 05:49:54 EDT 2022
% 0.08/0.26  % CPUTime  : 
% 0.54/0.93  *** allocated 10000 integers for termspace/termends
% 0.54/0.93  *** allocated 10000 integers for clauses
% 0.54/0.93  *** allocated 10000 integers for justifications
% 0.54/0.93  Bliksem 1.12
% 0.54/0.93  
% 0.54/0.93  
% 0.54/0.93  Automatic Strategy Selection
% 0.54/0.93  
% 0.54/0.93  Clauses:
% 0.54/0.93  [
% 0.54/0.93     [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( 
% 0.54/0.93    Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ],
% 0.54/0.93     [ 'c_List_Odistinct'( 'c_List_Ofilter'( X, Y, Z ), Z ), ~( 
% 0.54/0.93    'c_List_Odistinct'( Y, Z ) ) ],
% 0.54/0.93     [ =( 'c_List_Ofilter'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.54/0.93    'c_List_Olist_ONil'( Y ) ) ],
% 0.54/0.93     [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y, 
% 0.54/0.93    'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.54/0.93     ) ],
% 0.54/0.93     [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =( 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Y ) ), 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( W, 'tc_List_Olist'( T ) ) ) ), 
% 0.54/0.93    'c_List_Olist__all2'( V0, 'c_List_Oappend'( W, Z, T ), 'c_List_Oappend'( 
% 0.54/0.93    U, X, Y ), T, Y ), ~( 'c_List_Olist__all2'( V0, Z, X, T, Y ) ), ~( 
% 0.54/0.93    'c_List_Olist__all2'( V0, W, U, T, Y ) ) ],
% 0.54/0.93     [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =( 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Y ) ), 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( W, 'tc_List_Olist'( T ) ) ) ), 
% 0.54/0.93    'c_List_Olist__all2'( V0, 'c_List_Oappend'( U, X, Y ), 'c_List_Oappend'( 
% 0.54/0.93    W, Z, T ), Y, T ), ~( 'c_List_Olist__all2'( V0, X, Z, Y, T ) ), ~( 
% 0.54/0.93    'c_List_Olist__all2'( V0, U, W, Y, T ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all2'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'( 
% 0.54/0.93    U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z, W, T, V0 ) ), ~( 
% 0.54/0.93    'c_List_Olist__all2'( X, Y, U, T, V0 ) ) ],
% 0.54/0.93     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.54/0.93    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.54/0.93    , Y ) ],
% 0.54/0.93     [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( 
% 0.54/0.93    'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.54/0.93     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.54/0.93     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.54/0.93     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.54/0.93    'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X, 
% 0.54/0.93    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.54/0.93     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.54/0.93    , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z, 
% 0.54/0.93    'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.54/0.93     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.54/0.93     ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.54/0.93     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ), 
% 0.54/0.93    ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.54/0.93    , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U, 
% 0.54/0.93    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.54/0.93     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.93    'c_List_Olinorder__class_Osorted'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.54/0.93     [ =( X, Y ), ~( 'c_List_Olist__all2'( 'c_fequal'( Z ), X, Y, Z, Z ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 
% 0.54/0.93    'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 
% 0.54/0.93    'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.54/0.93    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.54/0.93     ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =( 
% 0.54/0.93    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =( 
% 0.54/0.93    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.54/0.93     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.54/0.93     [ 'c_List_Olist__all2'( X, 'c_List_Otake'( Y, Z, T ), 'c_List_Otake'( Y
% 0.54/0.93    , U, W ), T, W ), ~( 'c_List_Olist__all2'( X, Z, U, T, W ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.54/0.93    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 0.54/0.93    'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.54/0.93     [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), U, T ), 
% 0.54/0.93    'c_List_Onth'( X, U, T ) ), =( Y, U ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.54/0.93     [ =( 'c_List_Otake'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'( 
% 0.54/0.93    Y, 'c_List_Otake'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.54/0.93     ), Y ), Z, T ), T ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.93    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.54/0.93    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.93    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.93    X ), Y ), Z ) ), T ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.93    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.54/0.93    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.93    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.54/0.93    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.54/0.93     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.54/0.93     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.93    X ), Y ), Z ) ), T ) ) ],
% 0.54/0.93     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.93    'c_List_Olinorder__class_Osorted'( 'c_List_Odrop'( Y, Z, X ), X ), ~( 
% 0.54/0.93    'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y, 
% 0.54/0.93    X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.54/0.93     [ ~( hBOOL( hAPP( X, 'c_List_Olist_Olist__case'( Y, Z, 
% 0.54/0.93    'c_List_Olist_ONil'( 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X, Y ) )
% 0.54/0.93     ],
% 0.54/0.93     [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.54/0.93    'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 
% 0.54/0.93    'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.54/0.93     [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X, 
% 0.54/0.93    'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.54/0.93     [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'( 
% 0.54/0.93    Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.54/0.93     [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.54/0.93    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, 
% 0.54/0.93    'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.54/0.93     [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), 
% 0.54/0.93    'c_List_Olist_ONil'( T ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.54/0.93     [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.54/0.93     ), =( X, T ) ],
% 0.54/0.93     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ), 
% 0.54/0.93    =( X, T ) ],
% 0.54/0.93     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ), 
% 0.54/0.93    =( Y, T ) ],
% 0.54/0.93     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.93    'c_List_Olinorder__class_Osorted'( 'c_List_Otake'( Y, Z, X ), X ), ~( 
% 0.54/0.93    'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.54/0.93     [ =( 'c_List_Onth'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 0.54/0.93    , T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.54/0.93    'c_List_Olist_ONil'( Y ) ) ],
% 0.54/0.93     [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ), 
% 0.54/0.93    'tc_List_Olist'( Z ) ), Y, Z ) ) ],
% 0.54/0.93     [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.54/0.93     [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.54/0.93     [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.54/0.93     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.54/0.93     [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.54/0.93     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( X
% 0.54/0.93    , Z, Y ), Y ) ) ],
% 0.54/0.93     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( Z
% 0.54/0.93    , X, Y ), Y ) ) ],
% 0.54/0.93     [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.54/0.93     [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.54/0.93     [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.54/0.93     [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( 
% 0.54/0.93    Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all2'( X, Y, Z, T, U ), ~( 'c_List_Olist__all2'( X, 
% 0.54/0.93    'c_List_Orev'( Y, T ), 'c_List_Orev'( Z, U ), T, U ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all2'( X, 'c_List_Orev'( Y, Z ), 'c_List_Orev'( T, U )
% 0.54/0.93    , Z, U ), ~( 'c_List_Olist__all2'( X, Y, T, Z, U ) ) ],
% 0.54/0.93     [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ), 
% 0.54/0.93    'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'( 
% 0.54/0.93    'tc_nat' ) ) ) ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.54/0.93     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.93    X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.54/0.93     ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ), 
% 0.54/0.93    'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.54/0.93     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'( 
% 0.54/0.93    X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.54/0.93    , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z, 
% 0.54/0.93    'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.54/0.93     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 0.54/0.93    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.54/0.93    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.54/0.93     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, 
% 0.54/0.93    'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z, 
% 0.54/0.93    'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.54/0.93     [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.54/0.93    , Z ) ) ],
% 0.54/0.93     [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.54/0.93    'c_List_Olist_ONil'( Y ) ) ],
% 0.54/0.93     [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.54/0.93     ) ],
% 0.54/0.93     [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.54/0.93     ) ],
% 0.54/0.93     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.54/0.93     [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ), ~( 
% 0.54/0.93    'c_List_Olist__all2'( U, X, Z, Y, T ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.54/0.93    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.54/0.93    X ), Y ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 0.54/0.93    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.54/0.93    X ), Y ) ],
% 0.54/0.93     [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.54/0.93     [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.54/0.93     ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ =( 'c_List_Ofilter'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 0.54/0.93    'c_List_Oreplicate'( Y, Z, T ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.54/0.93     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.54/0.93     [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.54/0.93     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.54/0.93    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.54/0.93    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.54/0.93    'tc_Lambda_OdB' ) ) ) ],
% 0.54/0.93     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.54/0.93     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.54/0.93     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.54/0.93     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.54/0.93     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.54/0.93    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z, 
% 0.54/0.93    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.54/0.93     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T, 
% 0.54/0.93    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.54/0.93    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.54/0.93     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.54/0.93    , 'c_List_Olist_ONil'( X ) ) ],
% 0.54/0.93     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.54/0.93    , 'c_List_Olist_ONil'( X ) ) ],
% 0.54/0.93     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.54/0.93     ) ],
% 0.54/0.93     [ =( 'c_List_Omap'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_List_Oreplicate'( 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), X, Y ) ) ],
% 0.54/0.93     [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ), 
% 0.54/0.93    'c_List_Olist_ONil'( X ) ) ],
% 0.54/0.93     [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ), 
% 0.54/0.93    'c_List_Olist_ONil'( X ) ) ],
% 0.54/0.93     [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ), 
% 0.54/0.93    'c_List_Olist_ONil'( X ) ) ],
% 0.54/0.93     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.54/0.93    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.54/0.93     ) ],
% 0.54/0.93     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.54/0.93    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.54/0.93     ) ],
% 0.54/0.93     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.54/0.93    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.54/0.93     ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.54/0.93    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.54/0.93     [ =( 'c_List_Odrop'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 0.54/0.93    'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 0.54/0.93     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.93    'c_List_Olinorder__class_Osorted'( 'c_List_OtakeWhile'( Y, Z, X ), X ), 
% 0.54/0.93    ~( 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.54/0.93     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.54/0.93    'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 
% 0.54/0.93    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.54/0.93     [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, 
% 0.54/0.93    Z ), Z ), Y ) ],
% 0.54/0.93     [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.54/0.93    'c_List_Olist_ONil'( Y ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.93    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.54/0.93    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.54/0.93     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( 
% 0.54/0.93    hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( 
% 0.54/0.93    hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ), 
% 0.54/0.93    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ), 
% 0.54/0.93    'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.54/0.93     [ 'c_List_Odistinct'( 'c_List_Odrop'( X, Y, Z ), Z ), ~( 
% 0.54/0.93    'c_List_Odistinct'( Y, Z ) ) ],
% 0.54/0.93     [ 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ), ~( 'c_List_Odistinct'( 
% 0.54/0.93    X, Y ) ) ],
% 0.54/0.93     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y
% 0.54/0.93     ), Y ) ) ],
% 0.54/0.93     [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.54/0.93     ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ), 
% 0.54/0.93    'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.54/0.93     [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.54/0.93    , 'c_List_Olist_ONil'( Y ) ) ],
% 0.54/0.93     [ =( 'c_List_Olist_Olist__case'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z )
% 0.54/0.93    , X ) ],
% 0.54/0.93     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X, 
% 0.54/0.93    'c_List_Olist_ONil'( Y ) ) ],
% 0.54/0.93     [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), 
% 0.54/0.93    'c_List_Olist__all2'( U, 'c_List_Oappend'( X, W, Y ), 'c_List_Oappend'( Z
% 0.54/0.93    , V0, T ), Y, T ), ~( 'c_List_Olist__all2'( U, W, V0, Y, T ) ), ~( 
% 0.54/0.93    'c_List_Olist__all2'( U, X, Z, Y, T ) ) ],
% 0.54/0.93     [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.54/0.93    'c_List_Olist_ONil'( Y ) ) ],
% 0.54/0.93     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X, Y, Z, T ), 
% 0.54/0.93    'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T
% 0.54/0.93     ) ) ) ],
% 0.54/0.93     [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( 
% 0.54/0.93    'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.54/0.93     [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.54/0.93    'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.54/0.93     ) ) ],
% 0.54/0.93     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.54/0.93    , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.54/0.93     ) ) ) ],
% 0.54/0.93     [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 
% 0.54/0.93    X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP( 
% 0.54/0.93    hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.54/0.93     [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'( 
% 0.54/0.93    Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.54/0.93    , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W, 
% 0.54/0.93    'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.54/0.93     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.54/0.93     ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.54/0.93     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T, 
% 0.54/0.93    'tc_bool' ) ), Y ) ) ) ],
% 0.54/0.93     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 
% 0.54/0.93    'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T, 
% 0.54/0.93    'tc_bool' ) ), Y ) ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~( 
% 0.54/0.93    'c_List_Olist__all'( X, Z, T ) ), ~( 'c_List_Olist__all'( X, Y, T ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.93    'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, 
% 0.54/0.93    'c_List_Olist_ONil'( X ), X ), X ) ],
% 0.54/0.93     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.54/0.93    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 
% 0.54/0.93    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.54/0.93     [ 'c_List_Odistinct'( 'c_List_Otake'( X, Y, Z ), Z ), ~( 
% 0.54/0.93    'c_List_Odistinct'( Y, Z ) ) ],
% 0.54/0.93     [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.54/0.93    , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.54/0.93     [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.54/0.93    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), 
% 0.54/0.93    'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.54/0.93     [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( 
% 0.54/0.93    X ) ) ],
% 0.54/0.93     [ 'c_List_Odistinct'( 'c_List_OtakeWhile'( X, Y, Z ), Z ), ~( 
% 0.54/0.93    'c_List_Odistinct'( Y, Z ) ) ],
% 0.54/0.93     [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.54/0.93     ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ), 
% 0.54/0.93    'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.54/0.93     [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'( 
% 0.54/0.93    'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.54/0.93     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ), 
% 0.54/0.93    'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.54/0.93     [ =( 'c_List_Orotate'( X, 'c_List_Orotate'( Y, Z, T ), T ), 
% 0.54/0.93    'c_List_Orotate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X )
% 0.54/0.93    , Y ), Z, T ) ) ],
% 0.54/0.93     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'( 
% 0.54/0.93    Z ) ) ) ],
% 0.54/0.93     [ =( 'c_List_Ofilter'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.54/0.93    'c_List_Oappend'( 'c_List_Ofilter'( X, Y, T ), 'c_List_Ofilter'( X, Z, T
% 0.54/0.93     ), T ) ) ],
% 0.54/0.93     [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 0.54/0.93     ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all2'( X, 'c_List_Orev'( Y, Z ), T, Z, U ), ~( 
% 0.54/0.93    'c_List_Olist__all2'( X, Y, 'c_List_Orev'( T, U ), Z, U ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all2'( X, Y, 'c_List_Orev'( Z, T ), U, T ), ~( 
% 0.54/0.93    'c_List_Olist__all2'( X, 'c_List_Orev'( Y, U ), Z, U, T ) ) ],
% 0.54/0.93     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.54/0.93    , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), 
% 0.54/0.93    ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.54/0.93    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.54/0.93    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.54/0.93     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.54/0.93     ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 0.54/0.93    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.54/0.93    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.54/0.93    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.54/0.93     ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.54/0.93    X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.54/0.93    , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.54/0.93    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.54/0.93    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.54/0.93    Y ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.54/0.93    Y ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.54/0.93    X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.54/0.93    Y ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.54/0.93    Y ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.54/0.93    Y ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.54/0.93    Y ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.54/0.93    Y ) ],
% 0.54/0.93     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.54/0.93    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.54/0.93    X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.54/0.93     [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), 
% 0.54/0.93    X ) ],
% 0.54/0.93     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.93     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.93     [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.54/0.93     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.93     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.54/0.93     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.93     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.54/0.93    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.93     [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.54/0.93     ],
% 0.54/0.93     [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.54/0.93    , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.54/0.93     ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.93     [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.54/0.93     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.54/0.93     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.54/0.93     [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.54/0.93    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.54/0.93     [ ~( hBOOL( hAPP( X, 'c_List_Olist_Olist__case'( Y, Z, 
% 0.54/0.93    'c_List_Olist_OCons'( T, U, 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X
% 0.54/0.93    , hAPP( hAPP( Z, T ), U ) ) ) ],
% 0.54/0.93     [ ~( hBOOL( hAPP( X, 'c_List_Olist_Olist__case'( Y, Z, 
% 0.54/0.93    'c_List_Olist_OCons'( T, U, 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X
% 0.54/0.93    , hAPP( hAPP( Z, T ), U ) ) ) ],
% 0.54/0.93     [ =( 'c_List_Ofilter'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), 
% 0.54/0.93    'c_List_Ofilter'( X, Z, T ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), ~( 
% 0.54/0.93    'c_List_Olist__all'( X, Z, T ) ), ~( hBOOL( hAPP( X, Y ) ) ) ],
% 0.54/0.93     [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.54/0.93    'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.54/0.93     ) ) ],
% 0.54/0.93     [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ), 
% 0.54/0.93    ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ), 
% 0.54/0.93    'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.54/0.93     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'( 
% 0.54/0.93    X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.54/0.93     ) ],
% 0.54/0.93     [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), 
% 0.54/0.93    'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ), =( X, Y ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.54/0.93    'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z
% 0.54/0.93    , W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.54/0.93    'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z
% 0.54/0.93    , W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.54/0.93     [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.54/0.93    'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z
% 0.54/0.93    , W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.54/0.93     [ 'c_List_OListMem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 0.54/0.93     [ 'c_List_Olist__all2'( X, Y, Z, T, U ), ~( 'c_List_Olist__all2'( X, 
% 0.54/0.93    'c_List_Olist_OCons'( W, Y, T ), 'c_List_Olist_OCons'( V0, Z, U ), T, U )
% 0.54/0.93     ) ],
% 0.54/0.93     [ ~( =( 'c_List_Ofilter'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.54/0.93    , hBOOL( hAPP( X, T ) ) ],
% 0.54/0.93     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.54/0.93    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.54/0.93     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.54/0.93    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.54/0.93     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 
% 0.54/0.93    'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.93     [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 
% 0.54/0.93    'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X, 
% 0.54/0.93    'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 0.54/0.93    , Y ), Y ), Z ) ],
% 0.54/0.93     [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.54/0.93    Z ) ) ) ],
% 0.54/0.93     [ 'c_List_Odistinct'( 'c_List_Oremove1'( X, Y, Z ), Z ), ~( 
% 0.54/0.93    'c_List_Odistinct'( Y, Z ) ) ],
% 0.54/0.93     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.54/0.93    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.54/0.93    , Y ) ],
% 0.54/0.93     [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), 
% 0.54/0.93    'c_List_Olist__all2'( U, X, Z, Y, T ), ~( 'c_List_Olist__all2'( U, 
% 0.54/0.93    'c_List_Oappend'( X, W, Y ), 'c_List_Oappend'( Z, V0, T ), Y, T ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), 
% 0.54/0.93    'c_List_Olist__all2'( U, W, V0, Y, T ), ~( 'c_List_Olist__all2'( U, 
% 0.54/0.93    'c_List_Oappend'( X, W, Y ), 'c_List_Oappend'( Z, V0, T ), Y, T ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 
% 0.54/0.93    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.54/0.93    , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 0.54/0.93     ) ],
% 0.54/0.93     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate'( X, Y, Z ), 
% 0.54/0.93    'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.54/0.93     ) ) ) ],
% 0.54/0.93     [ =( 'c_List_OtakeWhile'( X, 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( 
% 0.54/0.93    Z, T, U ), U ), U ), 'c_List_OtakeWhile'( X, Y, U ) ), hBOOL( hAPP( X, Z
% 0.54/0.93     ) ) ],
% 0.54/0.93     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.54/0.93     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.54/0.93    X ) ), Y ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), 
% 0.54/0.93    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.54/0.93     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oappend'( X, Y, Z ), 
% 0.54/0.93    'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.54/0.93     ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ) ), 
% 0.54/0.93    'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ) ],
% 0.54/0.93     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( 
% 0.54/0.93    'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.54/0.93    ,
% 0.54/0.93     [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ), 
% 0.54/0.93    'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP( 
% 0.54/0.93    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'( 
% 0.54/0.93    'tc_nat' ) ) ) ) ) ],
% 0.54/0.94     [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 
% 0.54/0.94    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 
% 0.54/0.94    'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 
% 0.54/0.94    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 
% 0.54/0.94    'tc_Lambda_OdB' ), X ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.54/0.94    'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'( 
% 0.54/0.94    'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.54/0.94    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.54/0.94     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.54/0.94    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.54/0.94     [ 'c_List_Olist__all2'( X, 'c_List_Odrop'( Y, Z, T ), 'c_List_Odrop'( Y
% 0.54/0.94    , U, W ), T, W ), ~( 'c_List_Olist__all2'( X, Z, U, T, W ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.54/0.94    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.54/0.94    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.54/0.94    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.54/0.94     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.54/0.94    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.54/0.94    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.54/0.94    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.54/0.94     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.54/0.94    'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X, 
% 0.54/0.94    'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.54/0.94     [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.54/0.94     [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.54/0.94     [ =( 'c_List_Oremove1'( X, 'c_List_Ofilter'( Y, Z, T ), T ), 
% 0.54/0.94    'c_List_Ofilter'( Y, Z, T ) ), hBOOL( hAPP( Y, X ) ) ],
% 0.54/0.94     [ =( 'c_List_Ofilter'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 0.54/0.94    'c_List_Olist_ONil'( T ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.54/0.94     [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'( 
% 0.54/0.94    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, T ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( 'c_List_Oreplicate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.94    'tc_nat' ), X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z
% 0.54/0.94    , T ), 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 0.54/0.94     [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Olist__all2'( Z, 
% 0.54/0.94    'c_List_Olist_ONil'( T ), X, T, Y ) ) ],
% 0.54/0.94     [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Olist__all2'( Z, X, 
% 0.54/0.94    'c_List_Olist_ONil'( T ), Y, T ) ) ],
% 0.54/0.94     [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), 
% 0.54/0.94    'c_List_Olist_ONil'( Y ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.54/0.94    , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), 
% 0.54/0.94    'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.54/0.94     ), W ), W ) ) ],
% 0.54/0.94     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y, 
% 0.54/0.94    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.54/0.94     ) ) ],
% 0.54/0.94     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 0.54/0.94    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.54/0.94    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.54/0.94     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orotate'( Z
% 0.54/0.94    , X, Y ), Y ) ) ],
% 0.54/0.94     [ 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ), ~( 
% 0.54/0.94    'c_List_Odistinct'( Y, Z ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), 
% 0.54/0.94    =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.94     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 0.54/0.94    'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 0.54/0.94     ) ],
% 0.54/0.94     [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ), 
% 0.54/0.94    'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.54/0.94     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.54/0.94    'tc_List_Olist'( Z ) ), X ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ), 
% 0.54/0.94    =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.94     [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 
% 0.54/0.94    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.54/0.94     ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y, 
% 0.54/0.94    'c_List_Olist_ONil'( X ) ) ],
% 0.54/0.94     [ =( 'c_List_Olist__update'( X, Y, 'c_List_Onth'( X, Y, Z ), Z ), X ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.54/0.94    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.54/0.94    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.54/0.94    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.54/0.94     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.54/0.94    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 0.54/0.94    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 0.54/0.94    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.54/0.94     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 
% 0.54/0.94    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.54/0.94    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.54/0.94    'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 
% 0.54/0.94    'tc_bool' ) ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.54/0.94    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.54/0.94     [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( 
% 0.54/0.94    Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), U
% 0.54/0.94    , T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.54/0.94     ) ) ],
% 0.54/0.94     [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.54/0.94     ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.54/0.94     ) ) ],
% 0.54/0.94     [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.54/0.94     ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.54/0.94    , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.54/0.94     [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.54/0.94    'c_List_Olist_ONil'( Y ) ) ],
% 0.54/0.94     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 0.54/0.94    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.54/0.94     [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y, 
% 0.54/0.94    'tc_bool' ) ), X ) ],
% 0.54/0.94     [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) ), 
% 0.54/0.94    =( 'c_List_Onth'( Y, X, Z ), T ) ],
% 0.54/0.94     [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X
% 0.54/0.94    , 'tc_List_Olist'( Y ) ), Z, Y ), 'c_List_Oappend'( 'c_List_Odrop'( 
% 0.54/0.94    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.54/0.94     ), T ) ), ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 
% 0.54/0.94    'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~( =( Z, 'c_List_Otake'( 
% 0.54/0.94    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ) ) ), =( 
% 0.54/0.94    'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'( 
% 0.54/0.94    'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.54/0.94     ), 'c_List_Oappend'( X, T, Y ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.54/0.94    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.54/0.94    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.54/0.94    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.54/0.94     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.54/0.94    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.54/0.94    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.54/0.94    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.54/0.94     [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Lambda_Obeta'( T, Y ) ), ~( 
% 0.54/0.94    'c_Type_Otyping'( X, T, Z ) ) ],
% 0.54/0.94     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.94    'c_List_Olinorder__class_Osorted'( Y, X ), ~( 
% 0.54/0.94    'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Y, Z, X ), X ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.94    'c_List_Olinorder__class_Osorted'( Y, X ), ~( 
% 0.54/0.94    'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Z, Y, X ), X ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.54/0.94    Z ) ) ) ],
% 0.54/0.94     [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 0.54/0.94    , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 0.54/0.94    , T ) ), =( Y, U ) ],
% 0.54/0.94     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.54/0.94     ) ],
% 0.54/0.94     [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'( X, 
% 0.54/0.94    'c_List_Orev'( Y, Z ), Z ) ) ],
% 0.54/0.94     [ 'c_List_Olist__all'( X, 'c_List_Orev'( Y, Z ), Z ), ~( 
% 0.54/0.94    'c_List_Olist__all'( X, Y, Z ) ) ],
% 0.54/0.94     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'( 
% 0.54/0.94    Z ) ) ) ],
% 0.54/0.94     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.54/0.94    'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y, 
% 0.54/0.94    'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.54/0.94     [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.54/0.94     ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.54/0.94     [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP( 
% 0.54/0.94    'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.54/0.94    , V4 ), W ) ) ],
% 0.54/0.94     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ), 
% 0.54/0.94    X ) ) ],
% 0.54/0.94     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( 
% 0.54/0.94    Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.54/0.94     [ =( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), hAPP( hAPP( 
% 0.54/0.94    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Nat_Osize__class_Osize'( X, 
% 0.54/0.94    'tc_List_Olist'( Z ) ) ), T ), Z ), 'c_List_Onth'( Y, T, Z ) ) ],
% 0.54/0.94     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.54/0.94    'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP( 
% 0.54/0.94    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP( 
% 0.54/0.94    'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.54/0.94    , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.54/0.94     [ 'c_List_Olist__all2'( X, 'c_List_Olist_ONil'( Y ), 'c_List_Olist_ONil'( 
% 0.54/0.94    Z ), Y, Z ) ],
% 0.54/0.94     [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.54/0.94    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( 
% 0.54/0.94    hAPP( X, T ) ) ) ],
% 0.54/0.94     [ =( 'c_List_Orev'( 'c_List_Ofilter'( X, Y, Z ), Z ), 'c_List_Ofilter'( 
% 0.54/0.94    X, 'c_List_Orev'( Y, Z ), Z ) ) ],
% 0.54/0.94     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( 
% 0.54/0.94    'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.54/0.94    X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.54/0.94     [ 'c_List_Olist__all2'( 'c_fequal'( X ), Y, Y, X, X ) ],
% 0.54/0.94     [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 
% 0.54/0.94    'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T, 
% 0.54/0.94    'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.54/0.94     ) ],
% 0.54/0.94     [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 
% 0.54/0.94    'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T, 
% 0.54/0.94    'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.54/0.94     ) ],
% 0.54/0.94     [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'( X, 
% 0.54/0.94    'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.54/0.94     [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'( X, 
% 0.54/0.94    'c_List_Oappend'( T, Y, Z ), Z ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.54/0.94     ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.54/0.94     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ), 
% 0.54/0.94    'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP( 
% 0.54/0.94    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'( 
% 0.54/0.94    'tc_nat' ) ) ) ) ) ],
% 0.54/0.94     [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 0.54/0.94    , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 
% 0.54/0.94    'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.54/0.94    'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 
% 0.54/0.94    'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.54/0.94    'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.54/0.94     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.94    'c_List_Olinorder__class_Osorted'( 'c_List_Oremove1'( Y, Z, X ), X ), ~( 
% 0.54/0.94    'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.54/0.94     [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP( 
% 0.54/0.94    hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X, 
% 0.54/0.94    'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'( 
% 0.54/0.94    Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.54/0.94     [ =( 'c_List_Ofilter'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), 
% 0.54/0.94    'c_List_Olist_OCons'( Y, 'c_List_Ofilter'( X, Z, T ), T ) ), ~( hBOOL( 
% 0.54/0.94    hAPP( X, Y ) ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Ofilter'( T, U, Z ) ) )
% 0.54/0.94    , hBOOL( hAPP( T, X ) ) ],
% 0.54/0.94     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ), 
% 0.54/0.94    'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.54/0.94     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.94    'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, Z, X ), X ), 
% 0.54/0.94    ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( T, 
% 0.54/0.94    'c_List_Olist_OCons'( Y, Z, X ), X ), X ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 0.54/0.94    'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.54/0.94     [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 0.54/0.94    'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.54/0.94     [ =( 'c_List_Olist_Olist__case'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), 
% 0.54/0.94    W, U ), hAPP( hAPP( Y, Z ), T ) ) ],
% 0.54/0.94     [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_List_Olist__all2'( X, 
% 0.54/0.94    'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, W, V0 ), U, V0
% 0.54/0.94     ) ) ],
% 0.54/0.94     [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.54/0.94    'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.54/0.94     [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.54/0.94    'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'( 
% 0.54/0.94    Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.54/0.94     ) ],
% 0.54/0.94     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 0.54/0.94    'c_List_Olinorder__class_Osorted'( Y, X ), ~( 
% 0.54/0.94    'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, Y, X ), X ) )
% 0.54/0.94     ],
% 0.54/0.94     [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), 
% 0.54/0.94    'c_List_Olist_OCons'( Y, 'c_List_OtakeWhile'( X, Z, T ), T ) ), ~( hBOOL( 
% 0.54/0.94    hAPP( X, Y ) ) ) ],
% 0.54/0.94     [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'( X, 
% 0.54/0.94    'c_List_Olist_OCons'( T, Y, Z ), Z ) ) ],
% 0.54/0.94     [ hBOOL( hAPP( X, Y ) ), ~( 'c_List_Olist__all'( X, 'c_List_Olist_OCons'( 
% 0.54/0.94    Y, Z, T ), T ) ) ],
% 0.54/0.94     [ 'c_List_OListMem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), ~( 
% 0.54/0.94    'c_List_OListMem'( X, Z, T ) ) ],
% 0.54/0.94     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 
% 0.54/0.94    'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.54/0.94     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( 
% 0.54/0.94    'c_List_Omap'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y ), Z, Y, 
% 0.54/0.94    X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.54/0.94    , =( Y, 'c_List_Olist_OCons'( 
% 0.54/0.94    'c_List_Osko__List__Xmap__eq__Cons__conv__1__1'( X, Y, U, W, Z, T ), 
% 0.54/0.94    'c_List_Osko__List__Xmap__eq__Cons__conv__1__2'( X, Y, U, W, Z, T ), Z )
% 0.54/0.94     ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.54/0.94    , =( U, 'c_List_Olist_OCons'( 
% 0.54/0.94    'c_List_Osko__List__XCons__eq__map__conv__1__1'( T, X, Y, U, W, Z ), 
% 0.54/0.94    'c_List_Osko__List__XCons__eq__map__conv__1__2'( T, X, Y, U, W, Z ), W )
% 0.54/0.94     ) ],
% 0.54/0.94     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.54/0.94    , =( Y, 'c_List_Olist_OCons'( 
% 0.54/0.94    'c_List_Osko__List__Xmap__eq__Cons__D__1__1'( X, Y, U, W, Z, T ), 
% 0.54/0.94    'c_List_Osko__List__Xmap__eq__Cons__D__1__2'( X, Y, U, W, Z, T ), Z ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.54/0.94    , =( U, 'c_List_Olist_OCons'( 
% 0.54/0.94    'c_List_Osko__List__XCons__eq__map__D__1__1'( T, X, Y, U, W, Z ), 
% 0.54/0.94    'c_List_Osko__List__XCons__eq__map__D__1__2'( T, X, Y, U, W, Z ), W ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.54/0.94    , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.54/0.94     ), Z ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.54/0.94    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.54/0.94     [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'( 
% 0.54/0.94    Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ],
% 0.54/0.94     [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ), 
% 0.54/0.94    'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ) ), =( 'c_List_Omap'( X
% 0.54/0.94    , Y, Z, Z ), Y ) ],
% 0.54/0.94     [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Omap'( Z, X
% 0.54/0.94    , Y, T ), T ) ) ],
% 0.54/0.94     [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ), 
% 0.54/0.94    'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.54/0.94     ), U ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ), 
% 0.54/0.94    =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 
% 0.54/0.94    'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.54/0.94    , 'c_List_Olist_ONil'( T ) ) ],
% 0.54/0.94     [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ), 
% 0.54/0.94    'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.54/0.94     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z, T ), 
% 0.54/0.94    'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.54/0.94     ) ) ) ],
% 0.54/0.94     [ =( 'c_List_Orotate'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 
% 0.54/0.94    'c_List_Omap'( Y, 'c_List_Orotate'( X, Z, T ), T, U ) ) ],
% 0.54/0.94     [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X, 
% 0.54/0.94    'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 0.54/0.94     [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) )
% 0.54/0.94    , hAPP( Y, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) ) ) ), 
% 0.54/0.94    =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.54/0.94     [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'( 
% 0.54/0.94    Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.54/0.94     [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ), 
% 0.54/0.94    'c_List_Olist_ONil'( Z ) ) ],
% 0.54/0.94     [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ), 
% 0.54/0.94    'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.54/0.94     [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U )
% 0.54/0.94     ), hAPP( Y, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U ) ) ) )
% 0.54/0.94    , =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.54/0.94     [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, 
% 0.54/0.94    U ) ), hAPP( Y, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, U
% 0.54/0.94     ) ) ) ), =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U ), U, W ), 
% 0.54/0.94    'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP( X, T ), W )
% 0.54/0.94     ) ],
% 0.54/0.94     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.54/0.94     ), Z, X ) ) ],
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.54/0.94    , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 
% 0.54/0.94    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( 
% 0.54/0.94    'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.54/0.94    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.54/0.94    , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.54/0.94    , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.54/0.94     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 
% 0.54/0.94    'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP( 
% 0.54/0.94    'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.54/0.94    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.54/0.94     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.54/0.94     ), X ), Y ) ],
% 0.54/0.94     [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ), 
% 0.54/0.94    hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'( 
% 0.54/0.94    X, T ) ) ],
% 0.54/0.94     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 0.54/0.94     ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), 
% 0.54/0.94    hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.54/0.94     ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 
% 0.54/0.94    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~( 
% 0.54/0.94    hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.54/0.94     [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~( 
% 0.54/0.94    'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.54/0.94     [ 'c_List_Olistsp'( X, Y, Z ), ~( hBOOL( hAPP( X, 
% 0.54/0.94    'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ],
% 0.54/0.94     [ 'c_List_Olistsp'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 
% 0.54/0.94    'tc_fun'( Z, 'tc_bool' ) ), T, Z ), ~( 'c_List_Olistsp'( Y, T, Z ) ), ~( 
% 0.54/0.94    'c_List_Olistsp'( X, T, Z ) ) ],
% 0.54/0.94     [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.54/0.94     [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'( 
% 0.54/0.94    T, Y, Z ), Z ) ) ],
% 0.54/0.94     [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'( 
% 0.54/0.94    Y, T, Z ), Z ) ) ],
% 0.54/0.94     [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.54/0.94    , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.54/0.94    'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.54/0.94     ],
% 0.54/0.94     [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_Olift', X ), Y ), hAPP( hAPP( 
% 0.54/0.94    'c_Lambda_Olift', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.54/0.94    , 'v_b____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), 
% 0.54/0.94    ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 
% 0.54/0.94    'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ), 'v_b____', T ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.54/0.94    , 'v_b____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), 
% 0.54/0.94    ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 
% 0.54/0.94    'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ), 'v_b____', T ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( 'v_n____', 'v_i____' ) ],
% 0.54/0.94     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.54/0.94    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.54/0.94    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.54/0.94     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.54/0.94    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.54/0.94    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.94     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.54/0.94    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.54/0.94    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.54/0.94     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.54/0.94     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.54/0.94    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.54/0.94    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.54/0.94     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.54/0.94    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.54/0.94     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.54/0.94    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'( 
% 0.54/0.94    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.54/0.94     [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 
% 0.54/0.94    'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 
% 0.54/0.94    'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat', 
% 0.54/0.94    'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 
% 0.54/0.94    'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.54/0.94    , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.54/0.94     [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 0.54/0.94    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z ), X ) ],
% 0.54/0.94     [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.54/0.94    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 
% 0.54/0.94    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T, 
% 0.54/0.94    Y, Z ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.54/0.94    , =( 'c_List_Omap'( X, 'c_List_Osko__List__Xmap__eq__Cons__D__1__2'( X, Y
% 0.54/0.94    , U, W, Z, T ), Z, T ), W ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.54/0.94    , =( Y, 'c_List_Omap'( T, 'c_List_Osko__List__XCons__eq__map__conv__1__2'( 
% 0.54/0.94    T, X, Y, U, W, Z ), W, Z ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.54/0.94    , =( hAPP( X, 'c_List_Osko__List__Xmap__eq__Cons__D__1__1'( X, Y, U, W, Z
% 0.54/0.94    , T ) ), U ) ],
% 0.54/0.94     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.54/0.94    , =( hAPP( X, 'c_List_Osko__List__Xmap__eq__Cons__conv__1__1'( X, Y, U, W
% 0.54/0.94    , Z, T ) ), U ) ],
% 0.54/0.94     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.54/0.94    , =( 'c_List_Omap'( X, 'c_List_Osko__List__Xmap__eq__Cons__conv__1__2'( X
% 0.54/0.94    , Y, U, W, Z, T ), Z, T ), W ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.54/0.94    , =( X, hAPP( T, 'c_List_Osko__List__XCons__eq__map__conv__1__1'( T, X, Y
% 0.54/0.94    , U, W, Z ) ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.54/0.94    , =( X, hAPP( T, 'c_List_Osko__List__XCons__eq__map__D__1__1'( T, X, Y, U
% 0.54/0.94    , W, Z ) ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.54/0.94    , =( Y, 'c_List_Omap'( T, 'c_List_Osko__List__XCons__eq__map__D__1__2'( T
% 0.54/0.94    , X, Y, U, W, Z ), W, Z ) ) ],
% 0.54/0.94     [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.54/0.94    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), 
% 0.54/0.94    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.54/0.94     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.54/0.94    , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'( 
% 0.54/0.94    'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ), 
% 0.54/0.94    'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.54/0.94    , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 
% 0.54/0.94    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.54/0.94     [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), 
% 0.54/0.94    'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.54/0.94    , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 
% 0.54/0.94    'c_Type_Otypings'( X, T, U ) ) ],
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.54/0.94    , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.54/0.94    'c_InductTermi_OIT', X ) ) ) ],
% 0.54/0.94     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'( 
% 0.54/0.94    'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.54/0.94    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.54/0.94    'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 
% 0.54/0.94    'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 
% 0.54/0.94    'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat', 
% 0.54/0.94    'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.54/0.94    , 'tc_Lambda_OdB' ) ) ],
% 0.54/0.94     [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'( 
% 0.54/0.94    'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.54/0.94    , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 
% 0.54/0.94    'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X, 
% 0.54/0.94    'tc_Lambda_OdB' ) ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.54/0.94     ) ), =( Y, U ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.54/0.94     ) ), =( X, T ) ],
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.54/0.94     ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.54/0.94     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'( 
% 0.54/0.94    'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.54/0.94    , 'tc_nat', 'tc_Lambda_OdB' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 
% 0.54/0.94    'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 
% 0.54/0.94    'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat', 
% 0.54/0.94    'tc_Lambda_OdB' ), 'v_bs____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 
% 0.54/0.94    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.54/0.94     [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ), 
% 0.54/0.94    'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.54/0.94     ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.54/0.94     [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ), 
% 0.54/0.94    'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.54/0.94     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift', 
% 0.54/0.94    X ), Y ) ), Z ), Y ), X ) ],
% 0.54/0.94     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.54/0.94     [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.54/0.94     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', hAPP( 
% 0.54/0.94    hAPP( hAPP( 'c_Lambda_Osubst', 'v_b____' ), 'v_u____' ), 'v_i____' ) ), 
% 0.54/0.94    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.54/0.94     [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Olist_OCons'( hAPP( 
% 0.54/0.94    hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_b____' )
% 0.54/0.94    , 'v_u____' ), 'v_i____' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.54/0.94    'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 
% 0.54/0.94    'tc_nat' ), 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_List_Omap'( 
% 0.54/0.94    'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 
% 0.54/0.94    'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 
% 0.54/0.94    'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'v_bs____', 'tc_Lambda_OdB'
% 0.54/0.94    , 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.54/0.94     ), 'tc_Lambda_OdB' ) ) ],
% 0.54/0.94     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.54/0.94    'class_Lattices_Olattice'( Y ) ) ],
% 0.54/0.94     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.54/0.94    'class_Lattices_Olattice'( Y ) ) ],
% 0.54/0.94     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.54/0.94     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.54/0.94     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.54/0.94     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.54/0.94    ,
% 0.54/0.94     [ =( 'c_COMBB'( X, Y, Z, T, U, W ), hAPP( X, hAPP( Y, Z ) ) ) ],
% 0.54/0.94     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.54/0.94     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.54/0.94  ] .
% 0.54/0.94  
% 0.54/0.94  
% 0.54/0.94  percentage equality = 0.533426, percentage horn = 0.950860
% 0.54/0.94  This is a problem with some equality
% 0.54/0.94  
% 0.54/0.94  
% 0.54/0.94  
% 0.54/0.94  Options Used:
% 0.54/0.94  
% 0.54/0.94  useres =            1
% 0.54/0.94  useparamod =        1
% 0.54/0.94  useeqrefl =         1
% 0.54/0.94  useeqfact =         1
% 0.54/0.94  usefactor =         1
% 0.54/0.94  usesimpsplitting =  0
% 0.54/0.94  usesimpdemod =      5
% 0.54/0.94  usesimpres =        3
% 0.54/0.94  
% 0.54/0.94  resimpinuse      =  1000
% 0.54/0.94  resimpclauses =     20000
% 0.54/0.94  substype =          eqrewr
% 0.54/0.94  backwardsubs =      1
% 0.54/0.94  selectoldest =      5
% 0.54/0.94  
% 0.54/0.94  litorderings [0] =  split
% 0.54/0.94  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.54/0.94  
% 0.54/0.94  termordering =      kbo
% 0.54/0.94  
% 0.54/0.94  litapriori =        0
% 0.54/0.94  termapriori =       1
% 0.54/0.94  litaposteriori =    0
% 0.54/0.94  termaposteriori =   0
% 0.54/0.94  demodaposteriori =  0
% 0.54/0.94  ordereqreflfact =   0
% 0.54/0.94  
% 0.54/0.94  litselect =         negord
% 0.54/0.94  
% 0.54/0.94  maxweight =         15
% 0.54/0.94  maxdepth =          30000
% 0.54/0.94  maxlength =         115
% 0.73/1.10  maxnrvars =         195
% 0.73/1.10  excuselevel =       1
% 0.73/1.10  increasemaxweight = 1
% 0.73/1.10  
% 0.73/1.10  maxselected =       10000000
% 0.73/1.10  maxnrclauses =      10000000
% 0.73/1.10  
% 0.73/1.10  showgenerated =    0
% 0.73/1.10  showkept =         0
% 0.73/1.10  showselected =     0
% 0.73/1.10  showdeleted =      0
% 0.73/1.10  showresimp =       1
% 0.73/1.10  showstatus =       2000
% 0.73/1.10  
% 0.73/1.10  prologoutput =     1
% 0.73/1.10  nrgoals =          5000000
% 0.73/1.10  totalproof =       1
% 0.73/1.10  
% 0.73/1.10  Symbols occurring in the translation:
% 0.73/1.10  
% 0.73/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.73/1.10  .  [1, 2]      (w:1, o:145, a:1, s:1, b:0), 
% 0.73/1.10  !  [4, 1]      (w:0, o:107, a:1, s:1, b:0), 
% 0.73/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.10  'tc_List_Olist'  [42, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 0.73/1.10  'c_Nat_Osize__class_Osize'  [43, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Oappend'  [44, 3]      (w:1, o:179, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Odrop'  [45, 3]      (w:1, o:180, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Ofilter'  [47, 3]      (w:1, o:181, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Odistinct'  [48, 2]      (w:1, o:171, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Olist_ONil'  [49, 1]      (w:1, o:113, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Otake'  [51, 3]      (w:1, o:184, a:1, s:1, b:0), 
% 0.73/1.10  'tc_nat'  [52, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 0.73/1.10  'c_HOL_Ozero__class_Ozero'  [53, 1]      (w:1, o:114, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Olist__all2'  [57, 5]      (w:1, o:205, a:1, s:1, b:0), 
% 0.73/1.10  'c_Lambda_OdB_OAbs'  [64, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 0.73/1.10  'c_Lambda_OdB_OApp'  [65, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 0.73/1.10  'tc_Lambda_OdB'  [68, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Ofoldl'  [69, 5]      (w:1, o:206, a:1, s:1, b:0), 
% 0.73/1.10  'c_Lambda_OdB_OVar'  [71, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.73/1.10  hAPP  [72, 2]      (w:1, o:172, a:1, s:1, b:0), 
% 0.73/1.10  'c_Type_Otyping'  [73, 3]      (w:1, o:185, a:1, s:1, b:0), 
% 0.73/1.10  'class_OrderedGroup_Omonoid__add'  [74, 1]      (w:1, o:120, a:1, s:1, b:0)
% 0.73/1.10    , 
% 0.73/1.10  'c_List_Olistsum'  [75, 2]      (w:1, o:173, a:1, s:1, b:0), 
% 0.73/1.10  'class_Lattices_Olattice'  [76, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 0.73/1.10  'c_Lattices_Olower__semilattice__class_Oinf'  [78, 3]      (w:1, o:186, a:1
% 0.73/1.10    , s:1, b:0), 
% 0.73/1.10  'class_Lattices_Olower__semilattice'  [79, 1]      (w:1, o:122, a:1, s:1
% 0.73/1.10    , b:0), 
% 0.73/1.10  'tc_bool'  [82, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 0.73/1.10  'tc_fun'  [83, 2]      (w:1, o:174, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Orev'  [84, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Olist_OCons'  [85, 3]      (w:1, o:187, a:1, s:1, b:0), 
% 0.73/1.10  hBOOL  [86, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 0.73/1.10  'c_ListOrder_Ostep1'  [87, 4]      (w:1, o:201, a:1, s:1, b:0), 
% 0.73/1.10  'class_Orderings_Olinorder'  [88, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Olinorder__class_Osorted'  [89, 2]      (w:1, o:176, a:1, s:1, b:0)
% 0.73/1.10    , 
% 0.73/1.10  'c_fequal'  [90, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 0.73/1.10  'class_Ring__and__Field_Osemiring__1'  [91, 1]      (w:1, o:128, a:1, s:1
% 0.73/1.10    , b:0), 
% 0.73/1.10  'c_HOL_Oone__class_Oone'  [92, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 0.73/1.10  'c_Nat_Osemiring__1__class_Oof__nat'  [93, 2]      (w:1, o:177, a:1, s:1
% 0.73/1.10    , b:0), 
% 0.73/1.10  'class_OrderedGroup_Olordered__ab__group__add'  [94, 1]      (w:1, o:118
% 0.73/1.10    , a:1, s:1, b:0), 
% 0.73/1.10  'c_HOL_Oplus__class_Oplus'  [95, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 0.73/1.10  'class_OrderedGroup_Olordered__ab__group__add__meet'  [96, 1]      (w:1, o:
% 0.73/1.10    119, a:1, s:1, b:0), 
% 0.73/1.10  'c_COMBK'  [97, 3]      (w:1, o:188, a:1, s:1, b:0), 
% 0.73/1.10  'class_OrderedGroup_Omonoid__mult'  [99, 1]      (w:1, o:131, a:1, s:1, b:0
% 0.73/1.10    ), 
% 0.73/1.10  'c_Power_Opower__class_Opower'  [100, 3]      (w:1, o:189, a:1, s:1, b:0), 
% 0.73/1.10    
% 0.73/1.10  'c_List_Olist__update'  [102, 4]      (w:1, o:202, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Onth'  [104, 3]      (w:1, o:190, a:1, s:1, b:0), 
% 0.73/1.10  'class_OrderedGroup_Oab__group__add'  [105, 1]      (w:1, o:132, a:1, s:1
% 0.73/1.10    , b:0), 
% 0.73/1.10  'class_Ring__and__Field_Ocomm__semiring__1'  [109, 1]      (w:1, o:133, a:1
% 0.73/1.10    , s:1, b:0), 
% 0.73/1.10  'class_OrderedGroup_Oab__semigroup__add'  [110, 1]      (w:1, o:134, a:1
% 0.73/1.10    , s:1, b:0), 
% 0.73/1.10  'class_OrderedGroup_Ocomm__monoid__add'  [111, 1]      (w:1, o:135, a:1, s:
% 0.73/1.10    1, b:0), 
% 0.73/1.10  't_b'  [115, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 0.73/1.10  't_a'  [116, 0]      (w:1, o:72, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Olist_Olist__case'  [117, 5]      (w:1, o:207, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_OtakeWhile'  [120, 3]      (w:1, o:191, a:1, s:1, b:0), 
% 0.73/1.10  'c_List_Olist__all'  [121, 3]      (w:1, o:192, a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Oreplicate'  [122, 3]      (w:1, o:193, a:1, s:1, b:0), 
% 5.67/6.04  'c_Lambda_Osubstn'  [124, 3]      (w:1, o:194, a:1, s:1, b:0), 
% 5.67/6.04  'class_OrderedGroup_Osemigroup__add'  [125, 1]      (w:1, o:136, a:1, s:1
% 5.67/6.04    , b:0), 
% 5.67/6.04  'class_Nat_Osemiring__char__0'  [126, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 5.67/6.04    
% 5.67/6.04  'c_Fun_Ocomp'  [132, 5]      (w:1, o:208, a:1, s:1, b:0), 
% 5.67/6.04  'c_Type_Oshift'  [136, 4]      (w:1, o:203, a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Omap'  [141, 4]      (w:1, o:204, a:1, s:1, b:0), 
% 5.67/6.04  'class_Ring__and__Field_Oidom'  [142, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 5.67/6.04    
% 5.67/6.04  'class_Int_Onumber__ring'  [143, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 5.67/6.04  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [144, 1]      (w:1, o:139
% 5.67/6.04    , a:1, s:1, b:0), 
% 5.67/6.04  'class_OrderedGroup_Ocancel__semigroup__add'  [145, 1]      (w:1, o:140, a:
% 5.67/6.04    1, s:1, b:0), 
% 5.67/6.04  'c_List_Oremove1'  [146, 3]      (w:1, o:195, a:1, s:1, b:0), 
% 5.67/6.04  'c_Lambda_Obeta'  [147, 2]      (w:1, o:178, a:1, s:1, b:0), 
% 5.67/6.04  'c_Lambda_Oliftn'  [148, 3]      (w:1, o:196, a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Orotate'  [149, 3]      (w:1, o:197, a:1, s:1, b:0), 
% 5.67/6.04  'c_InductTermi_OIT'  [150, 0]      (w:1, o:85, a:1, s:1, b:0), 
% 5.67/6.04  'tc_Type_Otype'  [153, 0]      (w:1, o:89, a:1, s:1, b:0), 
% 5.67/6.04  'c_Lambda_Osubst'  [154, 0]      (w:1, o:90, a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Olistsp'  [158, 3]      (w:1, o:198, a:1, s:1, b:0), 
% 5.67/6.04  'class_Ring__and__Field_Ozero__neq__one'  [159, 1]      (w:1, o:141, a:1
% 5.67/6.04    , s:1, b:0), 
% 5.67/6.04  'class_Ring__and__Field_Ono__zero__divisors'  [160, 1]      (w:1, o:143, a:
% 5.67/6.04    1, s:1, b:0), 
% 5.67/6.04  'class_Ring__and__Field_Omult__zero'  [161, 1]      (w:1, o:142, a:1, s:1
% 5.67/6.04    , b:0), 
% 5.67/6.04  'class_Power_Opower'  [162, 1]      (w:1, o:144, a:1, s:1, b:0), 
% 5.67/6.04  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [163, 1]      (w:1
% 5.67/6.04    , o:126, a:1, s:1, b:0), 
% 5.67/6.04  'class_Ring__and__Field_Osemiring__0'  [164, 1]      (w:1, o:127, a:1, s:1
% 5.67/6.04    , b:0), 
% 5.67/6.04  'c_List_OListMem'  [169, 3]      (w:1, o:199, a:1, s:1, b:0), 
% 5.67/6.04  'c_Lambda_Olift'  [187, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__Xmap__eq__Cons__conv__1__1'  [189, 6]      (w:1, o:213
% 5.67/6.04    , a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__Xmap__eq__Cons__conv__1__2'  [190, 6]      (w:1, o:214
% 5.67/6.04    , a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__XCons__eq__map__conv__1__1'  [191, 6]      (w:1, o:215
% 5.67/6.04    , a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__XCons__eq__map__conv__1__2'  [192, 6]      (w:1, o:216
% 5.67/6.04    , a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__Xmap__eq__Cons__D__1__1'  [193, 6]      (w:1, o:217, a:
% 5.67/6.04    1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__Xmap__eq__Cons__D__1__2'  [194, 6]      (w:1, o:218, a:
% 5.67/6.04    1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__XCons__eq__map__D__1__1'  [195, 6]      (w:1, o:219, a:
% 5.67/6.04    1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__XCons__eq__map__D__1__2'  [196, 6]      (w:1, o:220, a:
% 5.67/6.04    1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__Xmap__idI__1__1'  [197, 3]      (w:1, o:182, a:1, s:1
% 5.67/6.04    , b:0), 
% 5.67/6.04  'c_List_Osko__List__Xmap__ext__1__1'  [198, 5]      (w:1, o:209, a:1, s:1
% 5.67/6.04    , b:0), 
% 5.67/6.04  'c_List_Osko__List__Xmap__cong__1__1'  [199, 5]      (w:1, o:210, a:1, s:1
% 5.67/6.04    , b:0), 
% 5.67/6.04  'c_List_Osko__List__Xmap__eq__conv__1__1'  [200, 5]      (w:1, o:211, a:1
% 5.67/6.04    , s:1, b:0), 
% 5.67/6.04  'v_ua______'  [201, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 5.67/6.04  'c_List_Osko__List__Xin__listsp__conv__set__1__1'  [202, 3]      (w:1, o:
% 5.67/6.04    183, a:1, s:1, b:0), 
% 5.67/6.04  'v_b____'  [203, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 5.67/6.04  'v_T____'  [207, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 5.67/6.04  'v_n____'  [209, 0]      (w:1, o:98, a:1, s:1, b:0), 
% 5.67/6.04  'v_i____'  [210, 0]      (w:1, o:99, a:1, s:1, b:0), 
% 5.67/6.04  'c_COMBC'  [211, 5]      (w:1, o:212, a:1, s:1, b:0), 
% 5.67/6.04  'c_Type_Otypings'  [213, 3]      (w:1, o:200, a:1, s:1, b:0), 
% 5.67/6.04  'v_u____'  [215, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 5.67/6.04  'v_bs____'  [216, 0]      (w:1, o:102, a:1, s:1, b:0), 
% 5.67/6.04  'c_COMBB'  [219, 6]      (w:1, o:221, a:1, s:1, b:0).
% 5.67/6.04  
% 5.67/6.04  
% 5.67/6.04  Starting Search:
% 5.67/6.04  
% 5.67/6.04  Resimplifying inuse:
% 5.67/6.04  Done
% 5.67/6.04  
% 5.67/6.04  
% 5.67/6.04  Intermediate Status:
% 5.67/6.04  Generated:    5366
% 5.67/6.04  Kept:         2004
% 5.67/6.04  Inuse:        117
% 5.67/6.04  Deleted:      2
% 5.67/6.04  Deletedinuse: 0
% 5.67/6.04  
% 5.67/6.04  Resimplifying inuse:
% 5.67/6.04  Done
% 5.67/6.04  
% 5.67/6.04  Resimplifying inuse:
% 5.67/6.04  Done
% 5.67/6.04  
% 5.67/6.04  
% 5.67/6.04  Intermediate Status:
% 5.67/6.04  Generated:    12981
% 5.67/6.04  Kept:         4006
% 5.67/6.04  Inuse:        191
% 5.67/6.04  Deleted:      5
% 5.67/6.04  Deletedinuse: 2
% 5.67/6.04  
% 5.67/6.04  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    22812
% 21.41/21.81  Kept:         6045
% 21.41/21.81  Inuse:        257
% 21.41/21.81  Deleted:      6
% 21.41/21.81  Deletedinuse: 2
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    32911
% 21.41/21.81  Kept:         8057
% 21.41/21.81  Inuse:        313
% 21.41/21.81  Deleted:      7
% 21.41/21.81  Deletedinuse: 2
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    44837
% 21.41/21.81  Kept:         10598
% 21.41/21.81  Inuse:        390
% 21.41/21.81  Deleted:      9
% 21.41/21.81  Deletedinuse: 2
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    58494
% 21.41/21.81  Kept:         12602
% 21.41/21.81  Inuse:        414
% 21.41/21.81  Deleted:      11
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    76782
% 21.41/21.81  Kept:         14612
% 21.41/21.81  Inuse:        444
% 21.41/21.81  Deleted:      13
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    87162
% 21.41/21.81  Kept:         16760
% 21.41/21.81  Inuse:        487
% 21.41/21.81  Deleted:      13
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    101168
% 21.41/21.81  Kept:         19192
% 21.41/21.81  Inuse:        545
% 21.41/21.81  Deleted:      15
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying clauses:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    115120
% 21.41/21.81  Kept:         21455
% 21.41/21.81  Inuse:        575
% 21.41/21.81  Deleted:      343
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    128490
% 21.41/21.81  Kept:         23456
% 21.41/21.81  Inuse:        614
% 21.41/21.81  Deleted:      343
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    139098
% 21.41/21.81  Kept:         25490
% 21.41/21.81  Inuse:        634
% 21.41/21.81  Deleted:      343
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    158563
% 21.41/21.81  Kept:         27936
% 21.41/21.81  Inuse:        640
% 21.41/21.81  Deleted:      343
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    175415
% 21.41/21.81  Kept:         30736
% 21.41/21.81  Inuse:        675
% 21.41/21.81  Deleted:      343
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    187826
% 21.41/21.81  Kept:         32811
% 21.41/21.81  Inuse:        700
% 21.41/21.81  Deleted:      343
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    201308
% 21.41/21.81  Kept:         35650
% 21.41/21.81  Inuse:        719
% 21.41/21.81  Deleted:      343
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    215115
% 21.41/21.81  Kept:         37817
% 21.41/21.81  Inuse:        750
% 21.41/21.81  Deleted:      343
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    239264
% 21.41/21.81  Kept:         40383
% 21.41/21.81  Inuse:        770
% 21.41/21.81  Deleted:      343
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying clauses:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    257777
% 21.41/21.81  Kept:         43376
% 21.41/21.81  Inuse:        799
% 21.41/21.81  Deleted:      468
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    266075
% 21.41/21.81  Kept:         45606
% 21.41/21.81  Inuse:        805
% 21.41/21.81  Deleted:      468
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    282662
% 21.41/21.81  Kept:         48465
% 21.41/21.81  Inuse:        825
% 21.41/21.81  Deleted:      468
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    294083
% 21.41/21.81  Kept:         50496
% 21.41/21.81  Inuse:        851
% 21.41/21.81  Deleted:      468
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    305842
% 21.41/21.81  Kept:         53416
% 21.41/21.81  Inuse:        865
% 21.41/21.81  Deleted:      468
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    329681
% 21.41/21.81  Kept:         56200
% 21.41/21.81  Inuse:        880
% 21.41/21.81  Deleted:      468
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    349151
% 21.41/21.81  Kept:         58634
% 21.41/21.81  Inuse:        915
% 21.41/21.81  Deleted:      468
% 21.41/21.81  Deletedinuse: 4
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying clauses:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  
% 21.41/21.81  Intermediate Status:
% 21.41/21.81  Generated:    360095
% 21.41/21.81  Kept:         60653
% 21.41/21.81  Inuse:        945
% 21.41/21.81  Deleted:      2940
% 21.41/21.81  Deletedinuse: 105
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 21.41/21.81  Done
% 21.41/21.81  
% 21.41/21.81  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    377473
% 216.92/217.36  Kept:         63643
% 216.92/217.36  Inuse:        971
% 216.92/217.36  Deleted:      2950
% 216.92/217.36  Deletedinuse: 115
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    407914
% 216.92/217.36  Kept:         66985
% 216.92/217.36  Inuse:        980
% 216.92/217.36  Deleted:      2974
% 216.92/217.36  Deletedinuse: 139
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    416899
% 216.92/217.36  Kept:         68998
% 216.92/217.36  Inuse:        1005
% 216.92/217.36  Deleted:      2976
% 216.92/217.36  Deletedinuse: 141
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    427089
% 216.92/217.36  Kept:         71031
% 216.92/217.36  Inuse:        1015
% 216.92/217.36  Deleted:      2976
% 216.92/217.36  Deletedinuse: 141
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    444673
% 216.92/217.36  Kept:         73207
% 216.92/217.36  Inuse:        1055
% 216.92/217.36  Deleted:      2979
% 216.92/217.36  Deletedinuse: 144
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    458840
% 216.92/217.36  Kept:         75443
% 216.92/217.36  Inuse:        1075
% 216.92/217.36  Deleted:      2981
% 216.92/217.36  Deletedinuse: 146
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    474600
% 216.92/217.36  Kept:         77591
% 216.92/217.36  Inuse:        1114
% 216.92/217.36  Deleted:      2982
% 216.92/217.36  Deletedinuse: 146
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    487162
% 216.92/217.36  Kept:         79802
% 216.92/217.36  Inuse:        1139
% 216.92/217.36  Deleted:      2982
% 216.92/217.36  Deletedinuse: 146
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying clauses:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    499059
% 216.92/217.36  Kept:         82610
% 216.92/217.36  Inuse:        1159
% 216.92/217.36  Deleted:      7120
% 216.92/217.36  Deletedinuse: 146
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    513921
% 216.92/217.36  Kept:         84796
% 216.92/217.36  Inuse:        1174
% 216.92/217.36  Deleted:      7120
% 216.92/217.36  Deletedinuse: 146
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    528653
% 216.92/217.36  Kept:         86961
% 216.92/217.36  Inuse:        1199
% 216.92/217.36  Deleted:      7120
% 216.92/217.36  Deletedinuse: 146
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.36  Generated:    544256
% 216.92/217.36  Kept:         89144
% 216.92/217.36  Inuse:        1209
% 216.92/217.36  Deleted:      7120
% 216.92/217.36  Deletedinuse: 146
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  Resimplifying inuse:
% 216.92/217.36  Done
% 216.92/217.36  
% 216.92/217.36  
% 216.92/217.36  Intermediate Status:
% 216.92/217.37  Generated:    559680
% 216.92/217.37  Kept:         91247
% 216.92/217.37  Inuse:        1234
% 216.92/217.37  Deleted:      7120
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    579389
% 216.92/217.37  Kept:         93334
% 216.92/217.37  Inuse:        1251
% 216.92/217.37  Deleted:      7120
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    587894
% 216.92/217.37  Kept:         95359
% 216.92/217.37  Inuse:        1266
% 216.92/217.37  Deleted:      7120
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    606426
% 216.92/217.37  Kept:         98235
% 216.92/217.37  Inuse:        1279
% 216.92/217.37  Deleted:      7120
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    620627
% 216.92/217.37  Kept:         100292
% 216.92/217.37  Inuse:        1289
% 216.92/217.37  Deleted:      7120
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying clauses:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    658511
% 216.92/217.37  Kept:         105666
% 216.92/217.37  Inuse:        1329
% 216.92/217.37  Deleted:      7200
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    663834
% 216.92/217.37  Kept:         108029
% 216.92/217.37  Inuse:        1330
% 216.92/217.37  Deleted:      7200
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    700010
% 216.92/217.37  Kept:         110065
% 216.92/217.37  Inuse:        1360
% 216.92/217.37  Deleted:      7200
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    721160
% 216.92/217.37  Kept:         113462
% 216.92/217.37  Inuse:        1381
% 216.92/217.37  Deleted:      7200
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    733247
% 216.92/217.37  Kept:         115962
% 216.92/217.37  Inuse:        1385
% 216.92/217.37  Deleted:      7200
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    783442
% 216.92/217.37  Kept:         118013
% 216.92/217.37  Inuse:        1413
% 216.92/217.37  Deleted:      7200
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  Intermediate Status:
% 216.92/217.37  Generated:    817465
% 216.92/217.37  Kept:         121680
% 216.92/217.37  Inuse:        1436
% 216.92/217.37  Deleted:      7200
% 216.92/217.37  Deletedinuse: 146
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying clauses:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  Resimplifying inuse:
% 216.92/217.37  Done
% 216.92/217.37  
% 216.92/217.37  
% 216.92/217.37  IntCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------