TSTP Solution File: SWV820-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV820-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:39 EDT 2022
% Result : Unknown 218.26s 218.68s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV820-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15 % Command : bliksem %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Thu Jun 16 06:53:02 EDT 2022
% 0.14/0.37 % CPUTime :
% 1.19/1.59 *** allocated 10000 integers for termspace/termends
% 1.19/1.59 *** allocated 10000 integers for clauses
% 1.19/1.59 *** allocated 10000 integers for justifications
% 1.19/1.59 *** allocated 15000 integers for termspace/termends
% 1.19/1.59 *** allocated 22500 integers for termspace/termends
% 1.19/1.59 *** allocated 33750 integers for termspace/termends
% 1.19/1.59 Bliksem 1.12
% 1.19/1.59
% 1.19/1.59
% 1.19/1.59 Automatic Strategy Selection
% 1.19/1.59
% 1.19/1.59 Clauses:
% 1.19/1.59 [
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.19/1.59 , 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ), Y ) ), =( Y,
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.59 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.59 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.59 X, X ), Y ), Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) )
% 1.19/1.59 , hAPP( hAPP( 'c_Pair'( X, X ), Z ), Y ) ), T ) ), =( Z, Y ), ~( hBOOL(
% 1.19/1.59 hAPP( hAPP( 'c_in'( X ), Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.19/1.59 , Z ), U ) ) ), ~( hBOOL( 'c_Relation_Ototal__on'( U, T, X ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 1.19/1.59 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 1.19/1.59 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.19/1.59 [ hBOOL( 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'(
% 1.19/1.59 'tc_fun'( X, 'tc_bool' ) ), Y, X ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), T ), Z ) ), U ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.19/1.59 ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ),
% 1.19/1.59 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.19/1.59 [ =( 'c_Set_Oimage'( 'v_f', 'v_A', 't_a', 't_b' ), hAPP( 'c_Collect'(
% 1.19/1.59 't_b' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool',
% 1.19/1.59 't_b' ), 'c_Ex'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.59 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 't_b' ), hAPP( 'c_COMBS'(
% 1.19/1.59 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.59 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( 't_a'
% 1.19/1.59 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) )
% 1.19/1.59 ) ), hAPP( hAPP( 'c_COMBC'( 't_b', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'(
% 1.19/1.59 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' )
% 1.19/1.59 , 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.59 't_b' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), 'c_fequal'( 't_b' ) ) )
% 1.19/1.59 , 'v_f' ) ) ) ) ) ],
% 1.19/1.59 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, Z ), hBOOL( hAPP(
% 1.19/1.59 X, Z ) ) ],
% 1.19/1.59 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.59 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.59 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.19/1.59 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, hAPP(
% 1.19/1.59 hAPP( 'c_COMBC'( Y, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.59 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z
% 1.19/1.59 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), Y ),
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.59 ), T ) ), U ), Y, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.59 , 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, Y,
% 1.19/1.59 'tc_fun'( Z, 'tc_bool' ) ) ), U ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.19/1.59 ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.19/1.59 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.19/1.59 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.19/1.59 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.19/1.59 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.19/1.59 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.19/1.59 'tc_bool' ) ), Z ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.59 [ ~( =( 'c_Product__Type_OSigma'( X, hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.19/1.59 'tc_bool' ), Z ), T ), Z, Y ), 'c_Product__Type_OSigma'( U, hAPP(
% 1.19/1.59 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), Z ), T ), Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_in'( Y ), W ), T ) ) ), =( X, U ) ],
% 1.19/1.59 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.19/1.59 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Finite__Set_Ofun__left__comm'( X, U, W
% 1.19/1.59 ) ) ],
% 1.19/1.59 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.59 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.19/1.59 ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.59 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.19/1.59 ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.19/1.59 , hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ), ~( hBOOL(
% 1.19/1.59 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.59 X ), Y ), Z ) ), Z ), Y ) ],
% 1.19/1.59 [ =( 'c_split'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_prod'( Y, X ) )
% 1.19/1.59 , 'tc_fun'( X, Z ), Y ), hAPP( 'c_COMBB'( 'tc_prod'( Y, X ), Z, X ), T )
% 1.19/1.59 ), 'c_Pair'( Y, X ) ), Y, X, Z ), T ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.19/1.59 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.19/1.59 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL(
% 1.19/1.59 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.19/1.59 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.59 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.19/1.59 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 1.19/1.59 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, hAPP(
% 1.19/1.59 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), Z ), T ), Z, 'tc_fun'( Y, 'tc_bool'
% 1.19/1.59 ) ), T ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.19/1.59 ) ) ],
% 1.19/1.59 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.19/1.59 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, hAPP( 'c_COMBK'(
% 1.19/1.59 X, Z ), T ), Z, X ), T ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.59 Z, 'tc_bool' ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), ~(
% 1.19/1.59 'c_Fun_Oinj__on'( Y, Z, T, U ) ), =( 'c_Finite__Set_Osetprod'( W,
% 1.19/1.59 'c_Set_Oimage'( Y, Z, T, U ), U, X ), 'c_Finite__Set_Osetprod'(
% 1.19/1.59 'c_Fun_Ocomp'( W, Y, U, X, T ), Z, T, X ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.19/1.59 'c_Finite__Set_Osetprod'( Y, 'c_Set_Oimage'( Z, T, U, W ), W, X ),
% 1.19/1.59 'c_Finite__Set_Osetprod'( 'c_Fun_Ocomp'( Y, Z, W, X, U ), T, U, X ) ),
% 1.19/1.59 ~( 'c_Fun_Oinj__on'( Z, T, U, W ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 1.19/1.59 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 1.19/1.59 T ) ) ],
% 1.19/1.59 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.19/1.59 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 1.19/1.59 [ =( 'c_Relation_Ototal__on'( 'v_A', 'v_r', 't_a' ), hAPP( 'c_All'(
% 1.19/1.59 't_a' ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.59 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.59 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.59 , 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.59 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ),
% 1.19/1.59 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.59 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ),
% 1.19/1.59 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a'
% 1.19/1.59 ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a',
% 1.19/1.59 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) ) ) ), hAPP( hAPP(
% 1.19/1.59 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.59 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.59 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.59 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.59 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.59 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.19/1.59 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.59 'c_implies' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.59 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.59 'tc_bool', 't_a' ), 'c_Not' ) ), 'c_fequal'( 't_a' ) ) ) ) ), hAPP( hAPP(
% 1.19/1.59 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.59 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.59 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.59 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.59 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.59 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.19/1.59 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_or' )
% 1.19/1.59 ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.59 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.59 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.19/1.59 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.59 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a',
% 1.19/1.59 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.19/1.59 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'(
% 1.19/1.59 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.59 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.59 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.59 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.19/1.59 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.19/1.59 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.59 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.59 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.59 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.19/1.59 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.59 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a',
% 1.19/1.59 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.19/1.59 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.19/1.59 , 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.59 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), hAPP(
% 1.19/1.59 'c_COMBC'( 't_a', 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 't_a',
% 1.19/1.59 't_a' ) ) ) ) ), 'v_r' ) ) ) ) ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Oordered__ab__semigroup__add'( X ) ), =( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.59 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ),
% 1.19/1.59 'c_Finite__Set_Olinorder__class_OMax'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.19/1.59 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) ), hAPP(
% 1.19/1.59 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.59 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.59 , 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.19/1.59 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.59 X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.19/1.59 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.19/1.59 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.19/1.59 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.19/1.59 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.19/1.59 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), Y ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.59 'tc_bool' ), 'c_in'( X ) ), Z ) ) ) ), X ) ), =( Z,
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.59 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.19/1.59 [ =( hAPP( 'c_Collect'( X ), Y ), Y ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.59 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.19/1.59 'c_Finite__Set_Ofun__left__comm__idem'(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 1.19/1.59 [ =( 'c_Finite__Set_Olattice_OInf__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.19/1.59 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.19/1.59 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.19/1.59 'c_Complete__Lattice_Ocomplete__lattice'( T, U, W, V0, X, V1, V2, V3, Z )
% 1.19/1.59 ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.19/1.59 , T ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.19/1.59 , Z ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.19/1.59 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.19/1.59 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.19/1.59 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.19/1.59 'c_Finite__Set_Osetsum'( U, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.59 'tc_bool' ), X, U ), hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ) ), hAPP(
% 1.19/1.59 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U )
% 1.19/1.59 , 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.59 'tc_fun'( Y, 'tc_bool' ), U ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' )
% 1.19/1.59 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y )
% 1.19/1.59 , 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.59 'tc_bool' ), 'c_in'( Y ) ), T ) ) ) ), hAPP( 'c_COMBC'( Y, U, 'tc_bool' )
% 1.19/1.59 , hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( U, 'tc_bool' ), Y ), 'c_fequal'( U
% 1.19/1.59 ) ), W ) ) ) ) ) ), 'c_Set_Oimage'( W, T, Y, U ) ) ), ~(
% 1.19/1.59 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.19/1.59 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.19/1.59 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T )
% 1.19/1.59 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.19/1.59 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ) ),
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ) ), W ) ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.59 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U
% 1.19/1.59 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.19/1.59 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.59 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_lessequals'( Y ), hAPP( U, Z ) ), hAPP( U, T ) ) ) ), ~( hBOOL(
% 1.19/1.59 'c_Orderings_Oorder__class_Ostrict__mono'( U, X, Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.59 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ),
% 1.19/1.59 hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T
% 1.19/1.59 ), U ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y
% 1.19/1.59 ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.59 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( U, Z ) ), hAPP(
% 1.19/1.59 U, T ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( U, X,
% 1.19/1.59 Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.59 ) ), ~( =( hAPP( Z, T ), hAPP( Z, U ) ) ), ~( hBOOL(
% 1.19/1.59 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ), =( T, U ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.19/1.59 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ), hAPP(
% 1.19/1.59 Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U
% 1.19/1.59 ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) )
% 1.19/1.59 ) ],
% 1.19/1.59 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.19/1.59 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.59 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.19/1.59 ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.19/1.59 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ =( hAPP( 'c_Fun_Ocomp'( hAPP( 'c_COMBK'( X, Y ), Z ), T, Y, X, 't_a' )
% 1.19/1.59 , 'v_x' ), Z ) ],
% 1.19/1.59 [ 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y
% 1.19/1.59 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Z ), T, U, X ), ~(
% 1.19/1.59 'c_Lattices_Odistrib__lattice'( Y, Z, U, T, X ) ) ],
% 1.19/1.59 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.19/1.59 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 1.19/1.59 X, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.59 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.19/1.59 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, W, X,
% 1.19/1.59 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.59 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.19/1.59 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 1.19/1.59 X, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.59 [ =( 'c_The'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), 'c_fequal'( X )
% 1.19/1.59 ), Y ), X ), Y ) ],
% 1.19/1.59 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.59 'tc_bool' ) ), X ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ =( hAPP( hAPP( X, hAPP( 'c_COMBK'( Y, Y ), hAPP( Z, hAPP( T, U ) ) ) )
% 1.19/1.59 , U ), hAPP( hAPP( X, Z ), U ) ), ~( hBOOL(
% 1.19/1.59 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, W ) ) )
% 1.19/1.59 ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.19/1.59 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.19/1.59 , =( Z, W ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.19/1.59 , =( Y, U ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.19/1.59 , =( X, T ) ],
% 1.19/1.59 [ =( 'c_Fun_Ocomp'( hAPP( X, Y ), hAPP( X, Z ), T, T, T ), 'c_Fun_Ocomp'(
% 1.19/1.59 hAPP( X, Z ), hAPP( X, Y ), T, T, T ) ), ~(
% 1.19/1.59 'c_Finite__Set_Ofun__left__comm'( X, U, T ) ) ],
% 1.19/1.59 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.59 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.19/1.59 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.59 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.59 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.19/1.59 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.59 [ 'c_Finite__Set_Ofinite'(
% 1.19/1.59 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 1.19/1.59 T, 'tc_bool' ) ), T ), ~( 'c_Finite__Set_Ofinite'( hAPP( Y, U ), T ) ),
% 1.19/1.59 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ],
% 1.19/1.59 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.59 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 1.19/1.59 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, hAPP( hAPP(
% 1.19/1.59 'c_COMBB'( T, 'tc_fun'( W, 'tc_bool' ), Z ), U ), X ), Z, 'tc_fun'( W,
% 1.19/1.59 'tc_bool' ) ) ) ],
% 1.19/1.59 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.59 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T
% 1.19/1.59 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) )
% 1.19/1.59 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool'
% 1.19/1.59 ), X ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.59 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ),
% 1.19/1.59 hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.19/1.59 Y ) ), U ) ) ) ), Z ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ ~( 'class_Orderings_Owellorder'( X ) ), ~( hBOOL( hAPP( Y, Z ) ) ),
% 1.19/1.59 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.19/1.59 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ) ) ],
% 1.19/1.59 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 1.19/1.59 ) ],
% 1.19/1.59 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 1.19/1.59 ) ],
% 1.19/1.59 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.19/1.59 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.19/1.59 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ),
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.19/1.59 ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W
% 1.19/1.59 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), T ), U ) ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.19/1.59 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ),
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.19/1.59 ) ), W ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.19/1.59 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.19/1.59 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.19/1.59 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.19/1.59 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.59 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.59 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.19/1.59 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.59 , T ), Z ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.19/1.59 'c_Finite__Set_Osetprod'( hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP(
% 1.19/1.59 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X )
% 1.19/1.59 ), Z ) ), T ), U, Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.19/1.59 ), 'c_Finite__Set_Osetprod'( Z, U, Y, X ) ), 'c_Finite__Set_Osetprod'( T
% 1.19/1.59 , U, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.59 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.59 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.59 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.59 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.19/1.59 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.19/1.59 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.19/1.59 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.19/1.59 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_lessequals'( X ),
% 1.19/1.59 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ) ),
% 1.19/1.59 hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.59 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.19/1.59 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.59 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.59 ) ) ), Y ), Y ) ],
% 1.19/1.59 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.59 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.59 'tc_bool' ) ) ), Y ) ],
% 1.19/1.59 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.59 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.19/1.59 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), X ) ), hAPP( hAPP(
% 1.19/1.59 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.19/1.59 't_a' ) ), Y ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a',
% 1.19/1.59 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.19/1.59 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.19/1.59 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.19/1.59 , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( U, Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 'c_Orderings_Oorder_Ostrict__mono'( U, W, X ), Y ) ) ), ~(
% 1.19/1.59 'c_Orderings_Oorder'( V0, U, W ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), 'c_Orderings_Oord__class_OLeast'( Y, X ) ), Z ) ),
% 1.19/1.59 ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.59 X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP( hAPP( U, Z ), T )
% 1.19/1.59 ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Omono'( U, W, X ), Y ) ) ), ~(
% 1.19/1.59 'c_Orderings_Oorder'( U, V0, W ) ) ],
% 1.19/1.59 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 1.19/1.59 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.59 ) ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.19/1.59 'c_Finite__Set_Osetsum'( X, X ), 'c_Fun_Oid'( X ) ), 'c_Set_Oimage'( Z, T
% 1.19/1.59 , Y, X ) ) ), ~( 'c_Fun_Oinj__on'( Z, T, Y, X ) ) ],
% 1.19/1.59 [ =( 'c_Product__Type_Oscomp'( hAPP( 'c_Pair'( X, Y ), Z ), T, Y, X, Y,
% 1.19/1.59 U ), hAPP( T, Z ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.59 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.19/1.59 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.19/1.59 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 1.19/1.59 ],
% 1.19/1.59 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.59 ), Y ), Z ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.19/1.59 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.59 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.19/1.59 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.19/1.59 'c_Finite__Set_Ofun__left__comm'( 'c_HOL_Otimes__class_Otimes'( X ), X, X
% 1.19/1.59 ) ],
% 1.19/1.59 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 1.19/1.59 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 1.19/1.59 , Z ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), Y ), Z ) ), T ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), Y ), Z ) ), T ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.59 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.19/1.59 'c_Finite__Set_Ofun__left__comm'( 'c_HOL_Oplus__class_Oplus'( X ), X, X )
% 1.19/1.59 ],
% 1.19/1.59 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_in'( 'tc_prod'( U, X ) ), hAPP( hAPP( 'c_Pair'( U, X ), T ), Y )
% 1.19/1.59 ), 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 1.19/1.59 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_in'( 'tc_prod'( X, T ) ), hAPP( hAPP( 'c_Pair'( X, T ), Y ), U ) ),
% 1.19/1.59 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.19/1.59 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 1.19/1.59 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.19/1.59 ],
% 1.19/1.59 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.19/1.59 ],
% 1.19/1.59 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.19/1.59 [ =( hAPP( hAPP( 'c_COMBK'( X, Y ), Z ), T ), Z ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.59 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.19/1.59 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.59 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.19/1.59 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ) ],
% 1.19/1.59 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.19/1.59 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.59 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.19/1.59 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.19/1.59 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.59 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T ), ~(
% 1.19/1.59 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), U, T ) ), ~(
% 1.19/1.59 'c_Natural_Oevalc'( Y, Z, U ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.19/1.59 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.19/1.59 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.19/1.59 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.19/1.59 'tc_bool' ) ) ) ],
% 1.19/1.59 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U ), ~(
% 1.19/1.59 'c_Natural_Oevalc'( Y, T, U ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.19/1.59 [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevalc'( Z, Y, T ), ~(
% 1.19/1.59 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Z, U ), Y, T ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.19/1.59 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.59 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 1.19/1.59 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.59 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.19/1.59 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 1.19/1.59 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.19/1.59 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.19/1.59 'tc_bool' ) ), Y, Z ) ],
% 1.19/1.59 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.59 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.59 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.59 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.59 , Y ), T ) ) ) ],
% 1.19/1.59 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.59 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.59 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.59 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.59 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.59 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.59 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.19/1.59 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.19/1.59 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.19/1.59 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.19/1.59 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.19/1.59 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.19/1.59 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.19/1.59 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.19/1.59 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.19/1.59 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.19/1.59 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.19/1.59 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.19/1.59 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.19/1.59 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.59 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.19/1.59 ,
% 1.19/1.59 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.19/1.59 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.59 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.59 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.59 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.59 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.59 Z ), Y ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.59 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.59 Y ), Z ) ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.59 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.19/1.59 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, hAPP( 'c_COMBC'( Z, Z
% 1.19/1.59 , 'tc_bool' ), T ), hAPP( 'c_COMBC'( Z, Z, 'tc_bool' ), U ), W, V0, V1,
% 1.19/1.59 V2, Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, T, U, V0, W,
% 1.19/1.59 V2, V1, Z ) ) ],
% 1.19/1.59 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.19/1.59 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.59 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.19/1.60 ) ],
% 1.19/1.60 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.19/1.60 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.19/1.60 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.19/1.60 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.60 'c_fequal'( X ) ), Y ) ) ), Z ) ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( Z, Y ) ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.19/1.60 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.19/1.60 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, V1 ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.19/1.60 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.19/1.60 'c_Lattices_Odistrib__lattice'( W, V0, X, Y, V1 ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.19/1.60 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.19/1.60 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, V1 ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.19/1.60 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.19/1.60 'c_Lattices_Odistrib__lattice'( W, V0, Y, X, V1 ) ) ],
% 1.19/1.60 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' )
% 1.19/1.60 , 'c_in'( X ) ), Y ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' )
% 1.19/1.60 , 'tc_bool' ), 'c_in'( X ) ), Z ) ) ), =( Y, Z ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( hAPP(
% 1.19/1.60 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X,
% 1.19/1.60 X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ), X ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.19/1.60 X, Z ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.60 X, Z ) ) ) ],
% 1.19/1.60 [ =( 'c_Set_Oimage'( hAPP( 'c_COMBK'( X, Y ), Z ),
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y, X ),
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Collect'( X ), Z ) ) ),
% 1.19/1.60 ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.19/1.60 'c_Collect'( Z ), X ) ) ) ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ), ~(
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( Y ) ), X ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.19/1.60 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.19/1.60 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_HOL_Oinduct__forall'( X, Z ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ) ), =( Y,
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Product__Type_Oscomp'( X, Y, Z, T, U, W ), V0 ), hAPP(
% 1.19/1.60 'c_split'( Y, T, U, W ), hAPP( X, V0 ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.19/1.60 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), U ), W ), T, 'tc_fun'(
% 1.19/1.60 Z, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.60 'c_Set_Oimage'( W, X, T, Y ), U, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.19/1.60 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.60 Z ) ) ), =( Y, Z ) ],
% 1.19/1.60 [ ~( =( hAPP( 'c_Collect'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.19/1.60 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X )
% 1.19/1.60 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 1.19/1.60 Z, T, Y ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), Z ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.19/1.60 ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.19/1.60 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.19/1.60 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( =( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), hAPP(
% 1.19/1.60 hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), W ), T ), U ) ) ), =( hAPP( Z, V0 )
% 1.19/1.60 , hAPP( W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.19/1.60 hAPP( hAPP( 'c_Pair'( X, X ), V0 ), U ) ), T ) ) ) ],
% 1.19/1.60 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.19/1.60 [ =( 'c_Finite__Set_Olattice_OSup__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.19/1.60 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.19/1.60 'c_Complete__Lattice_Ocomplete__lattice'( U, T, W, V0, V1, X, V2, V3, Z )
% 1.19/1.60 ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), Y ),
% 1.19/1.60 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.60 Z, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ), U ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ), Y ) ), T ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 1.19/1.60 , hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.19/1.60 'tc_bool' ) ), T ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.60 , T ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, U, Z,
% 1.19/1.60 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), Y ),
% 1.19/1.60 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.60 Z, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ), U ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ), Y ) ), T ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ),
% 1.19/1.60 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.60 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ) ),
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.19/1.60 ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.19/1.60 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.60 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.19/1.60 [ 'c_Natural_Oevalc'( X, Y, Z ), hBOOL( hAPP( T, Y ) ), ~(
% 1.19/1.60 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T, U, X ), Y, Z ) ) ],
% 1.19/1.60 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U ), ~(
% 1.19/1.60 'c_Natural_Oevalc'( Z, T, U ) ), hBOOL( hAPP( X, T ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ), Z ) ) ],
% 1.19/1.60 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), hAPP(
% 1.19/1.60 hAPP( 'c_Pair'( Z, Z ), Y ), X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.19/1.60 'tc_prod'( Z, Z ) ), hAPP( hAPP( 'c_Pair'( Z, Z ), X ), Y ) ), T ) ) ),
% 1.19/1.60 ~( hBOOL( 'c_Relation_Oantisym'( T, Z ) ) ) ],
% 1.19/1.60 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), hAPP(
% 1.19/1.60 hAPP( 'c_Pair'( Z, Z ), Y ), X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.19/1.60 'tc_prod'( Z, Z ) ), hAPP( hAPP( 'c_Pair'( Z, Z ), X ), Y ) ), T ) ) ),
% 1.19/1.60 ~( hBOOL( 'c_Relation_Oantisym'( T, Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.19/1.60 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_Finite__Set_Osetprod'(
% 1.19/1.60 'c_Fun_Oid'( X ), 'c_Set_Oimage'( Y, Z, T, X ), X, X ) ), ~(
% 1.19/1.60 'c_Fun_Oinj__on'( Y, Z, T, X ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, 'c_Fun_Oid'( Y ) ), Z ), Z ), ~( hBOOL(
% 1.19/1.60 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, U ) ) )
% 1.19/1.60 ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_HOL_Ouminus'( 't_b' ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 't_a', 't_b' ) ), 'v_A' ),
% 1.19/1.60 'v_x' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 't_b' ), hAPP( 'v_A',
% 1.19/1.60 'v_x' ) ) ) ],
% 1.19/1.60 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( Y, Z ) ) ) ), ~( hBOOL(
% 1.19/1.60 'c_Record_Oiso__tuple__update__accessor__cong__assist'( U, Y, W, V0 ) ) )
% 1.19/1.60 , =( hAPP( hAPP( U, X ), Z ), hAPP( hAPP( U, T ), Z ) ) ],
% 1.19/1.60 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ) ), ~( hBOOL(
% 1.19/1.60 'c_Record_Oiso__tuple__update__accessor__cong__assist'( T, Y, U, W ) ) )
% 1.19/1.60 , =( hAPP( hAPP( T, X ), Z ), Z ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Z ), T ), U ), W ), hAPP( U
% 1.19/1.60 , hAPP( T, W ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.19/1.60 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ), Y ), 'c_Collect'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_COMBS'( Z,
% 1.19/1.60 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Z,
% 1.19/1.60 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), 'c_in'( Z ) ), U ) ) ) ), W ) ) )
% 1.19/1.60 ), V0 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.19/1.60 'c_COMBS'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.19/1.60 , Z ), 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( Y, 'tc_bool' ), Z ), hAPP( 'c_COMBS'( Y, 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.19/1.60 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), V0 ) ) ) ), hAPP( 'c_COMBC'( Y,
% 1.19/1.60 Z, 'tc_bool' ), W ) ) ) ) ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) )
% 1.19/1.60 , ~( 'c_Finite__Set_Ofinite'( V0, Y ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.60 Z ) ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.60 Z ) ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 1.19/1.60 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 1.19/1.60 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ =( 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' )
% 1.19/1.60 , 'c_fequal'( X ) ), Y ), X ), Y ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ),
% 1.19/1.60 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 't_a', X ) ), Y ), 'v_x' ),
% 1.19/1.60 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( Y, 'v_x' ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.19/1.60 ), Y ) ), Z ) ), Z ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.60 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.19/1.60 'c_Collect'( X ), Y ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), X )
% 1.19/1.60 ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~(
% 1.19/1.60 'class_Lattices_Oupper__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y ), hAPP( Z, T ) ), hAPP(
% 1.19/1.60 Z, U ) ) ), hAPP( Z, hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), U ) ) ) ), ~(
% 1.19/1.60 hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 1.19/1.60 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Y ), Z ), 'c_Fun_Oid'( Y ) ), Z )
% 1.19/1.60 ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, X, Y ), 'c_Fun_Oid'( X ) ), Z ), Z )
% 1.19/1.60 ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.60 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.19/1.60 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.19/1.60 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.60 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.19/1.60 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.19/1.60 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.19/1.60 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 1.19/1.60 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 1.19/1.60 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.60 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.19/1.60 , Z, V2, Y ) ) ],
% 1.19/1.60 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.60 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.19/1.60 , V2, Z, Y ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.19/1.60 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.19/1.60 ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevalc'(
% 1.19/1.60 'c_Com_Ocom_OWhile'( X, T ), Y, Z ) ) ],
% 1.19/1.60 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.19/1.60 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.19/1.60 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.60 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( U, T ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.60 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), U ) ) ), Z ) ) ), X ) )
% 1.19/1.60 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), U ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.19/1.60 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.60 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.60 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 1.19/1.60 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.19/1.60 ), T ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.19/1.60 ), Z ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.19/1.60 ), T ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.19/1.60 ), Z ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool'
% 1.19/1.60 , X ), 'c_Not' ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), hAPP( 'c_Collect'( X ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.19/1.60 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.19/1.60 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.19/1.60 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.60 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , Z ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.19/1.60 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.60 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.19/1.60 ) ), hAPP( hAPP( 'c_Pair'( X, X ), Z ), Y ) ), T ) ) ), ~( hBOOL(
% 1.19/1.60 'c_Relation_Osym'( T, X ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.60 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.19/1.60 ) ), hAPP( hAPP( 'c_Pair'( X, X ), Z ), Y ) ), T ) ) ), ~( hBOOL(
% 1.19/1.60 'c_Relation_Osym'( T, X ) ) ) ],
% 1.19/1.60 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.19/1.60 =( X, Z ) ],
% 1.19/1.60 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.19/1.60 =( Y, T ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.60 Y, Z, T, 'tc_fun'( X, 'tc_bool' ) ) ), U ),
% 1.19/1.60 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), T ),
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 ), Z ) ), U ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.19/1.60 , hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.19/1.60 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'(
% 1.19/1.60 X ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 1.19/1.60 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 1.19/1.60 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 1.19/1.60 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.60 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.19/1.60 ) ), Z, X ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.19/1.60 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.19/1.60 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.19/1.60 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.19/1.60 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.19/1.60 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.19/1.60 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.60 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.19/1.60 ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.60 X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.60 ) ) ) ],
% 1.19/1.60 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.19/1.60 Y, X ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 1.19/1.60 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 1.19/1.60 ],
% 1.19/1.60 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 1.19/1.60 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 1.19/1.60 ],
% 1.19/1.60 [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X
% 1.19/1.60 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'(
% 1.19/1.60 Y ) ) ) ) ],
% 1.19/1.60 [ =( hAPP( X, 'c_Fun_Oid'( Y ) ), 'c_Fun_Oid'( Z ) ), ~( hBOOL(
% 1.19/1.60 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, Z ) ) )
% 1.19/1.60 ],
% 1.19/1.60 [ 'c_Orderings_Oorder'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y ), hAPP(
% 1.19/1.60 'c_COMBC'( X, X, 'tc_bool' ), Z ), X ), ~( 'c_Orderings_Oorder'( Y, Z, X
% 1.19/1.60 ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ), Z ), 'c_Set_Oimage'( T, U, W, Y ) ),
% 1.19/1.60 hAPP( hAPP( 'c_Finite__Set_Osetsum'( W, X ), 'c_Fun_Ocomp'( Z, T, Y, X, W
% 1.19/1.60 ) ), U ) ), ~( 'c_Fun_Oinj__on'( T, U, W, Y ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.19/1.60 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBB'( X, X, Y ),
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ) ), Z ) ), T ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.60 Y, X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ),
% 1.19/1.60 'c_Finite__Set_Ofun__left__comm__idem'( 'c_HOL_Otimes__class_Otimes'( X )
% 1.19/1.60 , X, X ) ],
% 1.19/1.60 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.60 , U ), Y ), Z, T ) ) ],
% 1.19/1.60 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.60 , Y ), U ), Z, T ) ) ],
% 1.19/1.60 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.19/1.60 'tc_bool' ) ), X ), 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.19/1.60 ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y )
% 1.19/1.60 ), 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ),
% 1.19/1.60 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'(
% 1.19/1.60 'tc_prod'( X, Y ) ) ) ), 'c_Pair'( X, Y ) ) ) ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.19/1.60 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y ) ), 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), X ),
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.19/1.60 , 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'( 'tc_prod'( X, Y ) ) ) ),
% 1.19/1.60 'c_Pair'( X, Y ) ) ) ), T ) ) ), =( Z, T ) ],
% 1.19/1.60 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 1.19/1.60 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 1.19/1.60 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.60 X ), Y ), Z ) ), Z ), Y ) ],
% 1.19/1.60 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.19/1.60 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.19/1.60 X ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.60 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.19/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.60 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 1.19/1.60 Y ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ), Y ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ), Y ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ), Y ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.19/1.60 'c_Finite__Set_Ofun__left__comm__idem'(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.19/1.60 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.19/1.60 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.19/1.60 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.19/1.60 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.19/1.60 X ), Y ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.19/1.60 , Z ) ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.19/1.60 , Z ) ), Y ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OInf__fin'( Z, T, U ) )
% 1.19/1.60 , 'c_Finite__Set_Olattice_OInf__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.19/1.60 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.19/1.60 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.19/1.60 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.19/1.60 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.19/1.60 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.19/1.60 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, U ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.60 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.19/1.60 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.19/1.60 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ) ) ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.19/1.60 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.60 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.19/1.60 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.19/1.60 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ) ) ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.19/1.60 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ),
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.19/1.60 Z, Y ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.19/1.60 ) ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.19/1.60 ) ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.19/1.60 ) ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.19/1.60 ) ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.19/1.60 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.19/1.60 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.19/1.60 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.19/1.60 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.19/1.60 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.19/1.60 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.19/1.60 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 1.19/1.60 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.19/1.60 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 1.19/1.60 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.19/1.60 V0, V1, Z, Y, V2 ) ) ],
% 1.19/1.60 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.19/1.60 V0, V1, Y, Z, V2 ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.19/1.60 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 1.19/1.60 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.19/1.60 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 1.19/1.60 V2, V3, V4 ) ) ],
% 1.19/1.60 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.19/1.60 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 1.19/1.60 V2, V3, V4 ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.19/1.60 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.19/1.60 ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.60 X ), Y ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.19/1.60 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 1.19/1.60 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.60 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_in'( X ), Z ), U ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.60 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_in'( X ), Z ), U ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.19/1.60 ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.60 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 1.19/1.60 W, 'tc_bool' ) ), Z ) ) ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 1.19/1.60 , Y ), U ) ), ~( hBOOL( hAPP(
% 1.19/1.60 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 1.19/1.60 W, 'tc_bool' ) ), U ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.19/1.60 ), U ) ) ), ~( hBOOL( hAPP(
% 1.19/1.60 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 1.19/1.60 W, 'tc_bool' ) ), Z ) ) ) ],
% 1.19/1.60 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.60 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.60 'c_Orderings_Oorder_Omono'( Y, Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.19/1.60 'c_Orderings_Oorder_Ostrict__mono'( U, Z, X ), T ) ) ), ~(
% 1.19/1.60 'c_Orderings_Oorder'( Y, U, Z ) ) ],
% 1.19/1.60 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.19/1.60 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.19/1.60 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.19/1.60 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ) ), ~( hBOOL(
% 1.19/1.60 'c_Record_Oiso__tuple__update__accessor__cong__assist'( T, Y, U, W ) ) )
% 1.19/1.60 , =( hAPP( hAPP( T, 'c_Fun_Ocomp'( V0, X, U, U, U ) ), Z ), hAPP( hAPP( T
% 1.19/1.60 , V0 ), Z ) ) ],
% 1.19/1.60 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.19/1.60 , 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Y ) ), =( Y,
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.60 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.19/1.60 , Y ), U ), W ) ) ), =( Z, U ) ],
% 1.19/1.60 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.19/1.60 , Y ), U ), W ) ) ), =( T, W ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), W )
% 1.19/1.60 , hAPP( Z, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP(
% 1.19/1.60 hAPP( 'c_Pair'( X, X ), W ), U ) ), T ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), W )
% 1.19/1.60 , hAPP( Z, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP(
% 1.19/1.60 hAPP( 'c_Pair'( X, X ), W ), U ) ), T ) ) ) ],
% 1.19/1.60 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 1.19/1.60 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 1.19/1.60 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 1.19/1.60 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 1.19/1.60 , V4 ), W ) ) ],
% 1.19/1.60 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Product__Type_Oscomp'( X, Y, 't_a', Z, T, U ), 'v_x' ),
% 1.19/1.60 hAPP( 'c_split'( Y, Z, T, U ), hAPP( X, 'v_x' ) ) ) ],
% 1.19/1.60 [ =( 'c_Fun_Ocomp'( hAPP( X, Y ), hAPP( X, Y ), Z, Z, Z ), hAPP( X, Y )
% 1.19/1.60 ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, Z ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.19/1.60 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), Z ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.60 ), U ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.19/1.60 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.19/1.60 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.60 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~(
% 1.19/1.60 'class_Lattices_Olower__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( Y ), hAPP( Z, hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), U ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y ), hAPP( Z, T ) ),
% 1.19/1.60 hAPP( Z, U ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y
% 1.19/1.60 ) ) ) ],
% 1.19/1.60 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.60 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.19/1.60 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 1.19/1.60 [ 'c_Natural_Oevalc'( X, Y, Z ), 'c_Natural_Oevalc'( T, Y, Z ), ~(
% 1.19/1.60 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ), Y, Z ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ), Y ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( Y ) ) )
% 1.19/1.60 ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'(
% 1.19/1.60 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Z ), hAPP( hAPP( 'c_Fun_Ofcomp'(
% 1.19/1.60 X, T, Y ), U ), W ) ), V0 ), hAPP( hAPP( 'c_Fun_Ofcomp'( X, T, Z ), U ),
% 1.19/1.60 hAPP( hAPP( 'c_Fun_Ofcomp'( T, Y, Z ), W ), V0 ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.60 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.60 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.60 ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.19/1.60 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.19/1.60 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.19/1.60 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.19/1.60 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.19/1.60 Z ), Y ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OSup__fin'( Z, T, U ) )
% 1.19/1.60 , 'c_Finite__Set_Olattice_OSup__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.19/1.60 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.19/1.60 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.19/1.60 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.19/1.60 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.19/1.60 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.19/1.60 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, U ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oordered__ab__semigroup__add'( X ) ), =( hAPP(
% 1.19/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.19/1.60 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ),
% 1.19/1.60 'c_Finite__Set_Olinorder__class_OMin'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.19/1.60 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.19/1.60 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.19/1.60 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.19/1.60 X ), Y ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.60 'tc_bool' ), 'c_in'( X ) ), Z ) ) ) ), X ) ), =( Z,
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olinorder_OMax'( Z, T, U ) ),
% 1.19/1.60 'c_Finite__Set_Olinorder_OMax'( Z, hAPP( 'c_Collect'( U ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), U ),
% 1.19/1.60 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), U ),
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U ),
% 1.19/1.60 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.19/1.60 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.19/1.60 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.19/1.60 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.19/1.60 'c_OrderedGroup_Oordered__ab__semigroup__add'( X, Z, W, U ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olinorder_OMin'( Z, T, U ) ),
% 1.19/1.60 'c_Finite__Set_Olinorder_OMin'( Z, hAPP( 'c_Collect'( U ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), U ),
% 1.19/1.60 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), U ),
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U ),
% 1.19/1.60 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.19/1.60 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.19/1.60 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.19/1.60 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.19/1.60 'c_OrderedGroup_Oordered__ab__semigroup__add'( X, Z, W, U ) ) ],
% 1.19/1.60 [ =( 'c_Predicate_OPowp'( 'v_A', 'v_B', 't_a' ), hAPP( 'c_All'( 't_a' )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.60 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.60 , 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_B' ) ) ), 'v_A' ) ) ) ],
% 1.19/1.60 [ =( 'c_Relation_Osym'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.19/1.60 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.19/1.60 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.60 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.19/1.60 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.19/1.60 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.19/1.60 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.19/1.60 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.60 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.19/1.60 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.60 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.60 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.19/1.60 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a',
% 1.19/1.60 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.19/1.60 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.19/1.60 , 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.60 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), hAPP(
% 1.19/1.60 'c_COMBC'( 't_a', 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 't_a',
% 1.19/1.60 't_a' ) ) ) ) ), 'v_r' ) ) ) ) ) ],
% 1.19/1.60 [ =( 'c_Relation_Oantisym'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.19/1.60 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.19/1.60 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.60 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.19/1.60 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.19/1.60 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.19/1.60 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.19/1.60 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.60 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.19/1.60 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.19/1.60 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.60 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.19/1.60 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.19/1.60 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.19/1.60 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.19/1.60 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.60 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), hAPP( 'c_COMBC'( 't_a'
% 1.19/1.60 , 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 't_a', 't_a' ) ) ) ) ),
% 1.19/1.60 'v_r' ) ) ) ), 'c_fequal'( 't_a' ) ) ) ) ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.60 'tc_bool' ), 'tc_bool', X ), 'c_All'( Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_COMBS'(
% 1.19/1.60 Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), Y ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'( Y,
% 1.19/1.60 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), Z ) ) ) ), T ) ) )
% 1.19/1.60 , 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), Y ),
% 1.19/1.60 'c_Collect'( X ) ), hAPP( 'c_COMBC'( X, Y, 'tc_bool' ), T ) ), Y,
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.60 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.19/1.60 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.19/1.60 , Y ) ) ) ), hAPP( 'c_COMBC'( T, T, 'tc_bool' ), U ) ) ) ) ) ), ~(
% 1.19/1.60 'c_Complete__Lattice_Ocomplete__lattice'( Z, X, U, W, V0, V1, V2, V3, T )
% 1.19/1.60 ) ],
% 1.19/1.60 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.19/1.60 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( U, W, T ), X ), Y ), Z, T, W ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ 'c_Finite__Set_Ofun__left__comm__idem'( hAPP( hAPP( 'c_COMBB'( X,
% 1.19/1.60 'tc_fun'( Y, Y ), Z ), T ), U ), Z, Y ), ~(
% 1.19/1.60 'c_Finite__Set_Ofun__left__comm__idem'( T, X, Y ) ) ],
% 1.19/1.60 [ 'c_Finite__Set_Ofun__left__comm'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.19/1.60 Y, Y ), Z ), T ), U ), Z, Y ), ~( 'c_Finite__Set_Ofun__left__comm'( T, X
% 1.19/1.60 , Y ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.19/1.60 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 1.19/1.60 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.19/1.60 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.19/1.60 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ) ), U ) ), T ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.19/1.60 'c_Finite__Set_Osetprod'( hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) )
% 1.19/1.60 , Z ) ), T ), U, Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.19/1.60 'c_Finite__Set_Osetprod'( Z, U, Y, X ) ), 'c_Finite__Set_Osetprod'( T, U
% 1.19/1.60 , Y, X ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 1.19/1.60 X ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.19/1.60 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 1.19/1.60 ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.19/1.60 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OSup__fin'( Y, Z, T ) ),
% 1.19/1.60 'c_Finite__Set_Olattice_OSup__fin'( Y, U, T ) ),
% 1.19/1.60 'c_Finite__Set_Olattice_OSup__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.19/1.60 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.19/1.60 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.19/1.60 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.19/1.60 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.19/1.60 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.19/1.60 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.19/1.60 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.60 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.19/1.60 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.19/1.60 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.19/1.60 V0, X, Y, T ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OInf__fin'( Y, Z, T ) ),
% 1.19/1.60 'c_Finite__Set_Olattice_OInf__fin'( Y, U, T ) ),
% 1.19/1.60 'c_Finite__Set_Olattice_OInf__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.19/1.60 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.19/1.60 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.19/1.60 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.19/1.60 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.19/1.60 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.19/1.60 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.19/1.60 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.60 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.19/1.60 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.19/1.60 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.19/1.60 V0, Y, X, T ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.60 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.19/1.60 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.19/1.60 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.60 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.60 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.19/1.60 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.19/1.60 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ) ) ) ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.19/1.60 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.19/1.60 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.19/1.60 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.60 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.19/1.60 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.19/1.60 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.60 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.60 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.19/1.60 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.19/1.60 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X ) ) ) ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.19/1.60 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.19/1.60 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.19/1.60 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_Fun_Ofcomp'( X, Y, Z ), 'c_Product__Type_Oscomp'( T
% 1.19/1.60 , U, X, W, V0, Y ) ), V1 ), 'c_Product__Type_Oscomp'( T, hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( W, 'tc_fun'( Y, Z ), 'tc_fun'( V0, Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( V0, Y ), 'tc_fun'( 'tc_fun'( Y, Z ), 'tc_fun'( V0, Z
% 1.19/1.60 ) ), W ), 'c_Fun_Ofcomp'( V0, Y, Z ) ), U ) ), V1 ), X, W, V0, Z ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ =( 'c_List_Ofilter'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 1.19/1.60 'c_List_Ofilter'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ),
% 1.19/1.60 'c_and' ), Y ) ), X ), Z, T ) ) ],
% 1.19/1.60 [ hBOOL( 'c_HOL_Oinduct__forall'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), X ), 'c_HOL_Oinduct__conj' ), Y ) ), Z ), X ) ), ~( hBOOL(
% 1.19/1.60 hAPP( hAPP( 'c_HOL_Oinduct__conj', 'c_HOL_Oinduct__forall'( Y, X ) ),
% 1.19/1.60 'c_HOL_Oinduct__forall'( Z, X ) ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'c_HOL_Oinduct__conj', 'c_HOL_Oinduct__forall'( X,
% 1.19/1.60 Y ) ), 'c_HOL_Oinduct__forall'( Z, Y ) ) ), ~( hBOOL(
% 1.19/1.60 'c_HOL_Oinduct__forall'( hAPP( hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y )
% 1.19/1.60 , 'c_HOL_Oinduct__conj' ), X ) ), Z ), Y ) ) ) ],
% 1.19/1.60 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.19/1.60 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.19/1.60 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.19/1.60 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Z ) ), Y ) ), X ) ) ],
% 1.19/1.60 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.19/1.60 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 1.19/1.60 , 'v_x' ) ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_Fun_Ofcomp'( 't_a', X, Y ), Z ), T ), 'v_x' )
% 1.19/1.60 , hAPP( T, hAPP( Z, 'v_x' ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.19/1.60 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.19/1.60 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, X ), 'c_Fun_Oid'( X ) ), hAPP(
% 1.19/1.60 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.60 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'( U ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' )
% 1.19/1.60 ) ), 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( U, 'tc_bool' ) ) ), X ), 'c_COMBS'( Y, 'tc_fun'( U, 'tc_bool' )
% 1.19/1.60 , 'tc_fun'( U, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ) ), X ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), Y ), 'c_COMBS'( U,
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 U, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Y ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ), U ), 'c_and' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( X, 'tc_fun'( Y, 'tc_fun'( U, X ) ), 'tc_fun'( Y, 'tc_fun'( U,
% 1.19/1.60 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( U, X ),
% 1.19/1.60 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( U, X ) ),
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ) ), X ), 'c_COMBB'( 'tc_fun'( U, X
% 1.19/1.60 ), 'tc_fun'( U, 'tc_bool' ), Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, 'tc_bool' ) ), X )
% 1.19/1.60 , 'c_COMBB'( X, 'tc_bool', U ) ), 'c_fequal'( X ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), Y ),
% 1.19/1.60 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W ) ) ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( Y, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( U
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), Y ), 'c_COMBB'( 'tc_bool',
% 1.19/1.60 'tc_bool', U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.19/1.60 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), T ) ) ) ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.60 U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), V0 ) ) ) ) ) ) )
% 1.19/1.60 ), ~( 'c_Fun_Oinj__on'( 'c_split'( hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U
% 1.19/1.60 , X ), 'tc_fun'( U, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W ), Y, U, X ),
% 1.19/1.60 'c_Product__Type_OSigma'( T, hAPP( 'c_COMBK'( 'tc_fun'( U, 'tc_bool' ), Y
% 1.19/1.60 ), V0 ), Y, U ), 'tc_prod'( Y, U ), X ) ) ],
% 1.19/1.60 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1'( X
% 1.19/1.60 , Y, Z, T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), =( hAPP( W
% 1.19/1.60 , Y ), hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ),
% 1.19/1.60 'c_FunDef_OTHE__default'( U ) ), V0 ) ), X ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.60 X, Y ), hAPP( W, Y ) ) ) ) ],
% 1.19/1.60 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1'( X,
% 1.19/1.60 Y, Z, T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP(
% 1.19/1.60 hAPP( X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T
% 1.19/1.60 ), 'c_FunDef_OTHE__default'( U ) ), W ) ), X ), Y ) ) ) ],
% 1.19/1.60 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z,
% 1.19/1.60 T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.60 X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ),
% 1.19/1.60 'c_FunDef_OTHE__default'( U ) ), W ) ), X ), Y ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( Z, 'tc_fun'( T
% 1.19/1.60 , 'tc_bool' ), T ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ), T ), Z ), 'c_FunDef_OTHE__default'( T ) ), U ) ), X ), Y ) )
% 1.19/1.60 ), hBOOL( hAPP( hAPP( X, Y ),
% 1.19/1.60 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1'( X, Y, W, Z,
% 1.19/1.60 T ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), W ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( X, Y ),
% 1.19/1.60 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z, T, U ) )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP( X, Y ),
% 1.19/1.60 hAPP( hAPP( hAPP( 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ),
% 1.19/1.60 'c_FunDef_OTHE__default'( U ) ), W ) ), X ), Y ) ) ) ],
% 1.19/1.60 [ =( hAPP( X, Y ), hAPP( hAPP( hAPP( 'c_COMBS'( Z, 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ), T ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ), T ), Z ), 'c_FunDef_OTHE__default'( T ) ), U ) ), W ), Y ) )
% 1.19/1.60 , ~( hBOOL( hAPP( hAPP( W, Y ), hAPP( X, Y ) ) ) ), hBOOL( hAPP( hAPP( W
% 1.19/1.60 , Y ), 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1'( W, Y
% 1.19/1.60 , V0, Z, T ) ) ), ~( hBOOL( hAPP( hAPP( W, Y ), V0 ) ) ) ],
% 1.19/1.60 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z,
% 1.19/1.60 T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), =( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_COMBS'( T, 'tc_fun'( U, 'tc_bool' ), U ), hAPP( hAPP( 'c_COMBB'( U,
% 1.19/1.60 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ), 'c_FunDef_OTHE__default'( U
% 1.19/1.60 ) ), W ) ), X ), Y ), V0 ), ~( hBOOL( hAPP( hAPP( X, Y ), V0 ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( Y, 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), Y ), X ),
% 1.19/1.60 'c_FunDef_OTHE__default'( Y ) ), Z ) ), T ), U ), hAPP( Z, U ) ), hBOOL(
% 1.19/1.60 hAPP( W, U ) ), ~( hBOOL( hAPP( W,
% 1.19/1.60 'c_ATP__Linkup_Osko__FunDef__Xfundef__default__value__1__1'( W, T, X, Y )
% 1.19/1.60 ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( Y, 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), Y ), X ),
% 1.19/1.60 'c_FunDef_OTHE__default'( Y ) ), Z ) ), T ), U ), W ), ~( hBOOL( hAPP(
% 1.19/1.60 hAPP( T, U ), W ) ) ), hBOOL( hAPP( hAPP( T, U ),
% 1.19/1.60 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( T, U, V0, X, Y ) )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( T, U ), V0 ) ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), X ), 'c_implies' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.19/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.60 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.19/1.60 'c_Collect'( X ), Y ) ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.19/1.60 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OGreatestM'( Y, Z, T
% 1.19/1.60 , X ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.19/1.60 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( X, 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBC'( T, X,
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ),
% 1.19/1.60 'c_lessequals'( X ) ), Y ) ) ), Y ) ) ) ), T ) ) ],
% 1.19/1.60 [ =( 'c_Predicate_OPowp'( X, 'v_B', 't_a' ), hAPP( 'c_All'( 't_a' ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.60 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.60 , 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_B' ) ) ), X ) ) ) ],
% 1.19/1.60 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.19/1.60 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.19/1.60 , Y ) ) ) ), U ) ) ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.19/1.60 , Z, U, W, V0, V1, V2, V3, T ) ) ],
% 1.19/1.60 [ =( 'c_Recdef_Owfrec'( X, Y, 'v_x', 't_a', Z ), 'c_The'(
% 1.19/1.60 'c_Recdef_Owfrec__rel'( X, hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a', Z ),
% 1.19/1.60 'tc_fun'( 't_a', 't_a' ), 'tc_fun'( 't_a', Z ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 't_a', Z ) ), 'tc_fun'( 'tc_fun'( 't_a', 't_a'
% 1.19/1.60 ), 'tc_fun'( 't_a', Z ) ), 'tc_fun'( 't_a', Z ) ), 'c_COMBS'( 't_a',
% 1.19/1.60 't_a', Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 't_a', Z
% 1.19/1.60 ) ), 'tc_fun'( 't_a', 'tc_fun'( 't_a', Z ) ), 'tc_fun'( 't_a', Z ) ),
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', Z ), 'tc_fun'( 't_a', Z ), 't_a' ), Y )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a', Z ), 'tc_fun'( 'tc_prod'(
% 1.19/1.60 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 't_a', Z ) ) ),
% 1.19/1.60 'c_Recdef_Ocut'( 't_a', Z ) ), X ) ) ) ), 'c_COMBI'( 't_a' ) ), 'v_x',
% 1.19/1.60 't_a', Z ), Z ) ) ],
% 1.19/1.60 [ =( 'c_lessequals'( 'tc_bool' ), 'c_implies' ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ), Y ), Z ), T )
% 1.19/1.60 ), hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', U ), Y ), Z ), T )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln',
% 1.19/1.60 'c_Com_Ocom_OCond'( W, U, X ) ), Y ), Z ), T ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_Natural_Oevaln', 'c_Com_Ocom_OWhile'( X, T ) ), Y ), U ), Z ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ), Y ), Z ), T )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), U ), Z ) ) ), ~(
% 1.19/1.60 hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ), Y ), U ), T ) ) )
% 1.19/1.60 ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', 'c_Com_Ocom_OSKIP'
% 1.19/1.60 ), X ), Y ), X ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', 'c_Com_Ocom_OCond'(
% 1.19/1.60 X, Y, Z ) ), T ), U ), W ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_Natural_Oevaln', Z ), T ), U ), W ) ) ), hBOOL( hAPP( X, T ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ), Y ), Z ), T )
% 1.19/1.60 ), hBOOL( hAPP( U, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_Natural_Oevaln', 'c_Com_Ocom_OCond'( U, W, X ) ), Y ), Z ), T ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ), Y ), 'c_Suc'(
% 1.19/1.60 Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ),
% 1.19/1.60 Y ), Z ), T ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ), Y ),
% 1.19/1.60 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( Z, X, T, Y, U, W ) ), W )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ), Y ), V0 )
% 1.19/1.60 , W ) ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', Z ), T )
% 1.19/1.60 , V1 ), U ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ), Y ),
% 1.19/1.60 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( X, Z, Y, T, U, W ) ), U )
% 1.19/1.60 ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', Z ), T ), V0 )
% 1.19/1.60 , W ) ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', X ), Y )
% 1.19/1.60 , V1 ), U ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', 'c_Com_Ocom_OWhile'(
% 1.19/1.60 X, Y ) ), Z ), T ), Z ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', 'c_Com_Ocom_OCond'(
% 1.19/1.60 X, Y, Z ) ), T ), U ), W ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_Natural_Oevaln', Y ), T ), U ), W ) ) ), ~( hBOOL( hAPP( X, T ) ) ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_Natural_Oevaln', Z ), Y ), T ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.60 hAPP( 'c_Natural_Oevaln', 'c_Com_Ocom_OCond'( X, Z, W ) ), Y ), T ), U )
% 1.19/1.60 ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', 'c_Com_Ocom_OWhile'(
% 1.19/1.60 X, Y ) ), Z ), T ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_Natural_Oevaln', 'c_Com_Ocom_OWhile'( X, Y ) ), W ), T ), U ) ) ), ~(
% 1.19/1.60 hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', Y ), Z ), T ), W ) ) )
% 1.19/1.60 , ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', 'c_Com_Ocom_OSemi'(
% 1.19/1.60 X, Y ) ), Z ), T ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_Natural_Oevaln', Y ), W ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.60 hAPP( 'c_Natural_Oevaln', X ), Z ), T ), W ) ) ) ],
% 1.19/1.60 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln',
% 1.19/1.60 'c_Com_Ocom_OSKIP' ), Y ), Z ), X ) ) ) ],
% 1.19/1.60 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_Natural_Oevaln', X ), Y ), T ), Z ) ) ) ],
% 1.19/1.60 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.60 'c_Natural_Oevaln', X ), Y ), T ), Z ) ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 1.19/1.60 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X,
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 1.19/1.60 hAPP( X, Y ), Z ), T ) ) ],
% 1.19/1.60 [ ~( 'class_HOL_Oord'( 't_a' ) ), =( 'c_Orderings_Oord__class_OLeast'(
% 1.19/1.60 'v_P', 't_a' ), 'c_The'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a'
% 1.19/1.60 ), 'c_implies' ), 'v_P' ) ) ), 'c_lessequals'( 't_a' ) ) ) ), 't_a' ) )
% 1.19/1.60 ],
% 1.19/1.60 [ =( 'c_Relation_Otrans'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.19/1.60 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.19/1.60 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.60 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.19/1.60 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.19/1.60 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.19/1.60 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.19/1.60 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.60 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.19/1.60 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.19/1.60 't_a' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBC'(
% 1.19/1.60 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.60 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a'
% 1.19/1.60 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a',
% 1.19/1.60 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.60 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'(
% 1.19/1.60 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a' ) ) ) ), 'v_r' ) ) ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.19/1.60 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.60 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.60 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.19/1.60 ) ) ) ), 'v_r' ) ) ) ) ) ) ) ],
% 1.19/1.60 [ 'c_Recdef_Oadm__wf'( X, hAPP( hAPP( 'c_COMBC'( 'tc_fun'( Y, Z ),
% 1.19/1.60 'tc_fun'( Y, Y ), 'tc_fun'( Y, Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y
% 1.19/1.60 , 'tc_fun'( Y, Z ) ), 'tc_fun'( 'tc_fun'( Y, Y ), 'tc_fun'( Y, Z ) ),
% 1.19/1.60 'tc_fun'( Y, Z ) ), 'c_COMBS'( Y, Y, Z ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( Y, Z ) ), 'tc_fun'( Y, 'tc_fun'( Y, Z ) ),
% 1.19/1.60 'tc_fun'( Y, Z ) ), hAPP( 'c_COMBB'( 'tc_fun'( Y, Z ), 'tc_fun'( Y, Z ),
% 1.19/1.60 Y ), T ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( Y, Z ), 'tc_fun'( 'tc_prod'(
% 1.19/1.60 Y, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( Y, Z ) ) ), 'c_Recdef_Ocut'(
% 1.19/1.60 Y, Z ) ), X ) ) ) ), 'c_COMBI'( Y ) ), Y, Z ) ],
% 1.19/1.60 [ =( 'c_Record_Oiso__tuple__update__accessor__cong__assist'( 'v_upd',
% 1.19/1.60 'v_acc', 't_a', 't_b' ), hAPP( hAPP( 'c_and', hAPP( 'c_All'( 'tc_fun'(
% 1.19/1.60 't_a', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ),
% 1.19/1.60 'tc_bool', 'tc_fun'( 't_a', 't_a' ) ), 'c_All'( 't_b' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBS'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'( 't_b', 't_b' ), 'tc_fun'(
% 1.19/1.60 't_b', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.19/1.60 't_b', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 't_b' ), 'tc_fun'( 't_b'
% 1.19/1.60 , 'tc_bool' ) ), 'tc_fun'( 't_a', 't_a' ) ), 'c_COMBS'( 't_b', 't_b',
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 't_b' ), 'tc_fun'(
% 1.19/1.60 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP(
% 1.19/1.60 'c_COMBB'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_b' ), 'c_fequal'(
% 1.19/1.60 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'(
% 1.19/1.60 't_b', 't_b' ), 'tc_fun'( 't_b', 't_b' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 't_b', 'tc_fun'( 't_b', 't_b' ) ), 'tc_fun'( 'tc_fun'( 't_b',
% 1.19/1.60 't_b' ), 'tc_fun'( 't_b', 't_b' ) ), 'tc_fun'( 't_a', 't_a' ) ),
% 1.19/1.60 'c_COMBS'( 't_b', 't_b', 't_b' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_b', 'tc_fun'( 't_a', 't_a' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b',
% 1.19/1.60 't_b' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.60 't_a' ), 'tc_fun'( 't_b', 't_b' ), 't_b' ), 'v_upd' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 't_b', 't_a' ), 'tc_fun'( 't_b', 'tc_fun'( 't_a',
% 1.19/1.60 't_a' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP( 'c_COMBB'( 't_a', 'tc_fun'(
% 1.19/1.60 't_a', 't_a' ), 't_b' ), 'c_COMBK'( 't_a', 't_a' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'( 't_b', 't_a' ), 'tc_fun'(
% 1.19/1.60 't_b', 't_a' ) ), 'c_COMBB'( 't_a', 't_a', 't_b' ) ), 'v_acc' ) ) ) ) ),
% 1.19/1.60 'c_COMBI'( 't_b' ) ) ) ) ), 'v_upd' ) ) ) ), hAPP( 'c_All'( 't_b' ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBS'( 't_b', 't_b', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 't_b'
% 1.19/1.60 , 'tc_fun'( 't_b', 'tc_bool' ), 't_b' ), 'c_fequal'( 't_b' ) ), hAPP(
% 1.19/1.60 'v_upd', 'c_Fun_Oid'( 't_a' ) ) ) ), 'c_COMBI'( 't_b' ) ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OLeastM'( Y, Z, T, X
% 1.19/1.60 ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.19/1.60 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.19/1.60 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( T, 'tc_fun'( T, X ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, X ), 'tc_fun'(
% 1.19/1.60 T, 'tc_bool' ) ), T ), 'c_COMBB'( X, 'tc_bool', T ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ), 'c_lessequals'( X ) ), Y ) )
% 1.19/1.60 ), Y ) ) ) ), T ) ) ],
% 1.19/1.60 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.19/1.60 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.19/1.60 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.19/1.60 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 1.19/1.60 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 1.19/1.60 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.19/1.60 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 1.19/1.60 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBC'( V0, 'tc_fun'( U, W ), 'tc_fun'( U
% 1.19/1.60 , V0 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0 ), 'tc_fun'( 'tc_fun'( U
% 1.19/1.60 , W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W, V0, U ) ), X ) ), Z ), Y
% 1.19/1.60 , T, V0, U ) ) ],
% 1.19/1.60 [ 'c_Lattices_Oboolean__algebra'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.19/1.60 , X ), 'tc_fun'( X, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ), 'c_COMBB'( X, X, X )
% 1.19/1.60 ), Y ) ), Z ), Z, hAPP( 'c_COMBC'( X, X, 'tc_bool' ), T ), hAPP(
% 1.19/1.60 'c_COMBC'( X, X, 'tc_bool' ), U ), Y, W, V0, V1, X ), ~(
% 1.19/1.60 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y, V1, V0, X ) ) ],
% 1.19/1.60 [ =( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.60 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ), 't_a' ), 'c_and' ), X ) ), Y ), 'v_x', 't_a' ), hAPP( hAPP(
% 1.19/1.60 'c_and', 'c_List_Olistsp'( X, 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y,
% 1.19/1.60 'v_x', 't_a' ) ) ) ],
% 1.19/1.60 [ =( 'c_Orderings_Oord_OLeast'( X, 'v_P', 't_a' ), 'c_The'( hAPP( hAPP(
% 1.19/1.60 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a'
% 1.19/1.60 ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a',
% 1.19/1.60 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ), 'v_P' ) ) ), X ) ) ),
% 1.19/1.60 't_a' ) ) ],
% 1.19/1.60 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.19/1.60 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ),
% 1.19/1.60 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, X ), 'tc_fun'( Y,
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( Y, X ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.19/1.60 'tc_bool', Y ) ), 'c_fequal'( X ) ) ), Z ) ) ) ), T ) ) ), X ), ~(
% 1.19/1.60 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), T ), Y ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( 'c_COMBK'( 't_a', 't_b' ), 'v_P' ), 'v_Q' ), 'v_P' ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.19/1.60 'c_Orderings_Oorder_Ostrict__mono'( Y, Z, X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', 'tc_fun'( Z, X ) ), 'c_All'( Z ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 Z, 'tc_bool' ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBS'( Z, 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' )
% 1.19/1.60 , 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), Z ), 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBS'( 'tc_fun'( Z, X ), 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.19/1.60 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ),
% 1.19/1.60 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'(
% 1.19/1.60 Z, 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Z, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.19/1.60 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.19/1.60 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_HOL_Oord__class_Oless'( X ) ) ) ) ),
% 1.19/1.60 'c_COMBI'( 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( T, Y, Z
% 1.19/1.60 ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Oorder_Omono'( Y,
% 1.19/1.60 Z, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool',
% 1.19/1.60 'tc_fun'( Z, X ) ), 'c_All'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.19/1.60 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, X ) )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z )
% 1.19/1.60 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP(
% 1.19/1.60 'c_COMBS'( Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.19/1.60 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Z ),
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ),
% 1.19/1.60 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP( 'c_COMBS'( 'tc_fun'( Z, X ),
% 1.19/1.60 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'( Z, 'tc_fun'( Z, X ),
% 1.19/1.60 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ),
% 1.19/1.60 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.19/1.60 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_lessequals'( X ) ) ) ) ), 'c_COMBI'(
% 1.19/1.60 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( Y, T, Z ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.19/1.60 't_b' ) ), =( 'c_Orderings_Oorder__class_Omono'( 'v_f', 't_a', 't_b' ),
% 1.19/1.60 hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.19/1.60 ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a'
% 1.19/1.60 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.60 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), 'c_lessequals'( 't_a' )
% 1.19/1.60 ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.60 't_a' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_lessequals'( 't_b' ) ),
% 1.19/1.60 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.19/1.60 't_b' ) ), =( 'c_Orderings_Oorder__class_Ostrict__mono'( 'v_f', 't_a',
% 1.19/1.60 't_b' ), hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.60 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.60 'c_implies' ) ), 'c_HOL_Oord__class_Oless'( 't_a' ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.19/1.60 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 't_b',
% 1.19/1.60 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_HOL_Oord__class_Oless'( 't_b' )
% 1.19/1.60 ), 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.19/1.60 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.19/1.60 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.19/1.60 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y
% 1.19/1.60 , 'tc_fun'( U, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, X )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'(
% 1.19/1.60 U, X ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ),
% 1.19/1.60 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X
% 1.19/1.60 , 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W
% 1.19/1.60 ) ) ), V0 ) ), T ) ) ],
% 1.19/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.19/1.60 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.19/1.60 ) ), U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.19/1.60 'c_COMBC'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.19/1.60 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ), W
% 1.19/1.60 ) ), U ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( 't_a', 't_b', 't_c' ), 'v_P' ), 'v_Q'
% 1.19/1.60 ), 'v_R' ), hAPP( 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( 't_a', 't_b', 't_c' ), 'v_P' ), 'v_Q'
% 1.19/1.60 ), 'v_R' ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( 't_a', 't_b', 't_c' ), 'v_P' ), 'v_Q'
% 1.19/1.60 ), 'v_R' ), hAPP( hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( 'c_Hoare__Mirabelle_Otriple__valid'( X, Y ), Z ) ), ~(
% 1.19/1.60 hBOOL( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_bool' ),
% 1.19/1.60 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool',
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_All'( Y ) ) )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 1.19/1.60 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y,
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 Y, 'tc_bool' ) ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', Y ), 'c_All'( 'tc_Com_Ostate' )
% 1.19/1.60 ) ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom'
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ) ), 'tc_fun'( Y
% 1.19/1.60 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_Com_Ocom' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' )
% 1.19/1.60 ), 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBS'( Y, 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), Y
% 1.19/1.60 ), 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Y ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), Y ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool',
% 1.19/1.60 'tc_Com_Ostate' ), 'c_All'( 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( Y,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), Y )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Com_Ocom', 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_Natural_Oevaln' ) ), X ) ) ) ) ) ) )
% 1.19/1.60 ) ), Y, 'tc_bool' ), Z ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_bool' ),
% 1.19/1.60 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool',
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_All'( X ) ) )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X
% 1.19/1.60 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_bool' ) ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', X ), 'c_All'( 'tc_Com_Ostate' )
% 1.19/1.60 ) ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom'
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ) ), 'tc_fun'( X
% 1.19/1.60 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_Com_Ocom' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' )
% 1.19/1.60 ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBS'( X, 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), X
% 1.19/1.60 ), 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), X ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool',
% 1.19/1.60 'tc_Com_Ostate' ), 'c_All'( 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), X )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Com_Ocom', 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_Natural_Oevaln' ) ), Y ) ) ) ) ) ) )
% 1.19/1.60 ) ), X, 'tc_bool' ), Z ) ), ~( hBOOL( hAPP(
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple__valid'( Y, X ), Z ) ) ) ],
% 1.19/1.60 [ =( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_n', X ),
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple_Otriple__case'( hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_bool' ), 'tc_Com_Ocom' ),
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_All'( X ) ) ) ), hAPP(
% 1.19/1.60 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.60 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', X ), 'c_All'( 'tc_Com_Ostate' )
% 1.19/1.60 ) ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom'
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ) ), 'tc_fun'( X
% 1.19/1.60 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_Com_Ocom' ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' )
% 1.19/1.60 ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBS'( X, 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool',
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), X
% 1.19/1.60 ), 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), X ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool',
% 1.19/1.60 'tc_Com_Ostate' ), 'c_All'( 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_fun'( X, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( X,
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), X )
% 1.19/1.60 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Com_Ocom', 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_Natural_Oevaln' ) ), 'v_n' ) ) ) ) )
% 1.19/1.60 ) ) ) ), X, 'tc_bool' ) ) ],
% 1.19/1.60 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 1.19/1.60 ,
% 1.19/1.60 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 1.19/1.60 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( X, hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y
% 1.19/1.60 , 't_b', 't_a' ), 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' )
% 1.19/1.60 ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( X, hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y
% 1.19/1.60 , 't_b', 't_a' ), 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' )
% 1.19/1.60 ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.19/1.60 hAPP( U, W ) ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.19/1.60 T, W ), U ) ) ],
% 1.19/1.60 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.19/1.60 T, W ), hAPP( U, W ) ) ) ],
% 1.19/1.60 [ =( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X, Y, Z ),
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple_Otriple'( T, U, W, Y ) ), hAPP( hAPP( hAPP( X
% 1.19/1.60 , T ), U ), W ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ), ~( hBOOL( hAPP(
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple_Otriple__case'( hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_bool' ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ), 'tc_bool', 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ) ) ), 'c_All'( 't_a' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.60 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.19/1.60 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBS'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' )
% 1.19/1.60 ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' )
% 1.19/1.60 , 'tc_Com_Ostate' ), 'c_implies' ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 'tc_Com_Ostate' ), 'c_All'(
% 1.19/1.60 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Com_Ocom', 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_Natural_Oevaln' ) ), 'v_n' ) ) ) ) )
% 1.19/1.60 ) ) ) ), 't_a', 'tc_bool' ), 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P'
% 1.19/1.60 , 'v_c', 'v_Q', 't_a' ) ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', 'v_c' ), 'v_xa' ),
% 1.19/1.60 'v_n' ), 'v_xb' ) ), ~( hBOOL( hAPP(
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple_Otriple__case'( hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_bool' ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ), 'tc_bool', 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ) ) ), 'c_All'( 't_a' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.60 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.19/1.60 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBS'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' )
% 1.19/1.60 ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' )
% 1.19/1.60 , 'tc_Com_Ostate' ), 'c_implies' ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 'tc_Com_Ostate' ), 'c_All'(
% 1.19/1.60 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Com_Ocom', 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_Natural_Oevaln' ) ), 'v_n' ) ) ) ) )
% 1.19/1.60 ) ) ) ), 't_a', 'tc_bool' ), 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P'
% 1.19/1.60 , 'v_c', 'v_Q', 't_a' ) ) ) ) ],
% 1.19/1.60 [ ~( hBOOL( hAPP( hAPP( 'v_Q', 'v_x' ), 'v_xb' ) ) ), ~( hBOOL( hAPP(
% 1.19/1.60 'c_Hoare__Mirabelle_Otriple_Otriple__case'( hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_bool' ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ), 'tc_bool', 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ) ) ), 'c_All'( 't_a' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.60 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.19/1.60 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBS'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' )
% 1.19/1.60 ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' )
% 1.19/1.60 , 'tc_Com_Ostate' ), 'c_implies' ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 'tc_Com_Ostate' ), 'c_All'(
% 1.19/1.60 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Com_Ocom', 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_Natural_Oevaln' ) ), 'v_n' ) ) ) ) )
% 1.19/1.60 ) ) ) ), 't_a', 'tc_bool' ), 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P'
% 1.19/1.60 , 'v_c', 'v_Q', 't_a' ) ) ) ) ],
% 1.19/1.60 [ hBOOL( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_bool' ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ), 'tc_bool', 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate'
% 1.19/1.60 , 'tc_bool' ) ) ), 'c_All'( 't_a' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.60 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.19/1.60 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ocom',
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_COMBS'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.60 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' )
% 1.19/1.60 ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' )
% 1.19/1.60 , 'tc_Com_Ostate' ), 'c_implies' ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.19/1.60 ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.60 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 'tc_Com_Ostate' ), 'c_All'(
% 1.19/1.60 'tc_Com_Ostate' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.19/1.60 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.19/1.60 , 'tc_Com_Ocom' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.19/1.60 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 1.19/1.60 ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.60 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_Com_Ocom' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.19/1.60 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.19/1.60 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.19/1.60 'c_implies' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Com_Ocom', 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_nat',
% 1.19/1.60 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) ),
% 1.19/1.60 'tc_Com_Ocom' ), 'c_COMBC'( 'tc_Com_Ostate', 'tc_nat', 'tc_fun'(
% 1.19/1.60 'tc_Com_Ostate', 'tc_bool' ) ) ), 'c_Natural_Oevaln' ) ), 'v_n' ) ) ) ) )
% 1.19/1.60 ) ) ) ), 't_a', 'tc_bool' ), 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P'
% 1.19/1.60 , 'v_c', 'v_Q', 't_a' ) ) ), hBOOL( hAPP( hAPP( 'v_Q', X ), Y ) ), ~(
% 1.23/1.61 hBOOL( hAPP( hAPP( hAPP( hAPP( 'c_Natural_Oevaln', 'v_c' ), Z ), 'v_n' )
% 1.23/1.61 , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), Z ) ) ) ],
% 1.23/1.61 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.23/1.61 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.23/1.61 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.23/1.61 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.23/1.61 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Lattices_Olattice'( Y ) ) ],
% 1.23/1.61 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Lattices_Olattice'( Y ) ) ],
% 1.23/1.61 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.23/1.61 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.23/1.61 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.23/1.61 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.23/1.61 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.23/1.61 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Orderings_Opreorder'( Y ) ) ],
% 1.23/1.61 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Lattices_Olattice'( Y ) ) ],
% 1.23/1.61 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.61 'class_Orderings_Oorder'( Y ) ) ],
% 1.23/1.61 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.23/1.61 Y ) ) ],
% 1.23/1.61 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 1.23/1.61 ],
% 1.23/1.61 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.23/1.61 ],
% 1.23/1.61 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.23/1.61 ) ],
% 1.23/1.61 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_OrderedGroup_Oordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Orderings_Owellorder'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.23/1.61 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 1.23/1.61 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.23/1.61 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.23/1.61 T, W ), hAPP( U, W ) ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.23/1.61 T, W ), U ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.23/1.61 hAPP( U, W ) ) ) ],
% 1.23/1.61 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.23/1.61 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.23/1.61 ] .
% 1.23/1.61
% 1.23/1.61
% 1.23/1.61 percentage equality = 0.301953, percentage horn = 0.907496
% 1.23/1.61 This is a problem with some equality
% 1.23/1.61
% 1.23/1.61
% 1.23/1.61
% 1.23/1.61 Options Used:
% 1.23/1.61
% 1.23/1.61 useres = 1
% 1.23/1.61 useparamod = 1
% 1.23/1.61 useeqrefl = 1
% 1.23/1.61 useeqfact = 1
% 1.23/1.61 usefactor = 1
% 1.23/1.61 usesimpsplitting = 0
% 1.23/1.61 usesimpdemod = 5
% 1.23/1.61 usesimpres = 3
% 1.23/1.61
% 1.23/1.61 resimpinuse = 1000
% 1.23/1.61 resimpclauses = 20000
% 1.23/1.61 substype = eqrewr
% 1.23/1.61 backwardsubs = 1
% 1.23/1.61 selectoldest = 5
% 1.23/1.61
% 1.23/1.61 litorderings [0] = split
% 1.23/1.61 litorderings [1] = extend the termordering, first sorting on arguments
% 1.23/1.61
% 1.23/1.61 termordering = kbo
% 1.23/1.61
% 1.23/1.61 litapriori = 0
% 1.23/1.61 termapriori = 1
% 1.23/1.61 litaposteriori = 0
% 1.23/1.61 termaposteriori = 0
% 1.23/1.61 demodaposteriori = 0
% 1.23/1.61 ordereqreflfact = 0
% 1.23/1.61
% 1.23/1.61 litselect = negord
% 1.23/1.61
% 1.23/1.61 maxweight = 15
% 1.23/1.61 maxdepth = 30000
% 1.23/1.61 maxlength = 115
% 1.23/1.61 maxnrvars = 195
% 1.23/1.61 excuselevel = 1
% 1.23/1.61 increasemaxweight = 1
% 1.23/1.61
% 1.23/1.61 maxselected = 10000000
% 1.23/1.61 maxnrclauses = 10000000
% 1.23/1.61
% 1.23/1.61 showgenerated = 0
% 1.23/1.61 showkept = 0
% 1.23/1.61 showselected = 0
% 1.23/1.61 showdeleted = 0
% 1.23/1.61 showresimp = 1
% 1.23/1.61 showstatus = 2000
% 1.23/1.61
% 1.23/1.61 prologoutput = 1
% 1.23/1.61 nrgoals = 5000000
% 1.23/1.61 totalproof = 1
% 1.23/1.61
% 1.23/1.61 Symbols occurring in the translation:
% 1.23/1.61
% 1.23/1.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.23/1.61 . [1, 2] (w:1, o:209, a:1, s:1, b:0),
% 1.23/1.61 ! [4, 1] (w:0, o:139, a:1, s:1, b:0),
% 1.23/1.61 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.23/1.61 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
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% 1.23/1.61 ),
% 1.23/1.61 'c_Lattices_Olower__semilattice__class_Oinf' [90, 1] (w:1, o:162, a:1
% 1.23/1.61 , s:1, b:0),
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% 1.23/1.61 'c_COMBK' [96, 2] (w:1, o:242, a:1, s:1, b:0),
% 1.23/1.61 'c_Product__Type_OSigma' [97, 4] (w:1, o:284, a:1, s:1, b:0),
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% 1.23/1.61 ,
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% 1.23/1.61
% 1.23/1.61 'class_Int_Onumber__ring' [104, 1] (w:1, o:168, a:1, s:1, b:0),
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% 1.23/1.61 ),
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% 1.23/1.61 ,
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% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add' [111, 1] (w:1, o:
% 1.23/1.61 171, a:1, s:1, b:0),
% 1.23/1.61 'class_Lattices_Olattice' [112, 1] (w:1, o:172, a:1, s:1, b:0),
% 1.23/1.61 'c_Fun_Oinj__on' [114, 4] (w:1, o:286, a:1, s:1, b:0),
% 1.23/1.61 'c_Fun_Ocomp' [115, 5] (w:1, o:295, a:1, s:1, b:0),
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% 1.23/1.61 0),
% 1.23/1.61 'class_Complete__Lattice_Ocomplete__lattice' [117, 1] (w:1, o:174, a:
% 1.23/1.61 1, s:1, b:0),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__mult' [119, 1] (w:1, o:175, a:1
% 1.23/1.61 , s:1, b:0),
% 1.23/1.61 'c_Finite__Set_Osetprod' [121, 4] (w:1, o:287, a:1, s:1, b:0),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__1' [122, 1] (w:1, o:176, a:1
% 1.23/1.61 , s:1, b:0),
% 1.23/1.61 'c_Fun_Oid' [123, 1] (w:1, o:177, a:1, s:1, b:0),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__add__join' [124, 1] (w:1
% 1.23/1.61 , o:178, a:1, s:1, b:0),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__add' [125, 1] (w:1, o:179
% 1.23/1.61 , a:1, s:1, b:0),
% 1.23/1.61 'c_Orderings_Oorder' [128, 3] (w:1, o:264, a:1, s:1, b:0),
% 1.23/1.61 'v_r' [129, 0] (w:1, o:75, a:1, s:1, b:0),
% 1.23/1.61 'c_All' [130, 1] (w:1, o:180, a:1, s:1, b:0),
% 1.23/1.61 'c_implies' [131, 0] (w:1, o:76, a:1, s:1, b:0),
% 1.23/1.61 'c_Not' [132, 0] (w:1, o:77, a:1, s:1, b:0),
% 1.23/1.61 'c_or' [133, 0] (w:1, o:78, a:1, s:1, b:0),
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% 1.23/1.61 154, a:1, s:1, b:0),
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% 1.23/1.61 , b:0),
% 1.23/1.61 'c_Finite__Set_Ofun__left__comm__idem' [139, 3] (w:1, o:265, a:1, s:1
% 1.23/1.61 , b:0),
% 1.23/1.61 'c_Finite__Set_Olattice_OInf__fin' [141, 3] (w:1, o:266, a:1, s:1, b:
% 1.23/1.61 0),
% 1.23/1.61 'c_Complete__Lattice_Ocomplete__lattice' [147, 9] (w:1, o:305, a:1
% 1.23/1.61 , s:1, b:0),
% 1.23/1.61 'c_Com_Ocom_OSemi' [150, 2] (w:1, o:243, a:1, s:1, b:0),
% 1.23/1.61 'c_Com_Ocom_OCond' [153, 3] (w:1, o:267, a:1, s:1, b:0),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add' [154, 1] (w:1, o:182, a:1, s:
% 1.23/1.61 1, b:0),
% 1.23/1.61 'c_Finite__Set_Osetsum' [155, 2] (w:1, o:244, a:1, s:1, b:0),
% 1.23/1.61 'c_Finite__Set_Olattice__class_OInf__fin' [157, 2] (w:1, o:245, a:1
% 1.23/1.61 , s:1, b:0),
% 1.23/1.61 'class_Ring__and__Field_Opordered__ring' [158, 1] (w:1, o:185, a:1
% 1.23/1.61 , s:1, b:0),
% 1.23/1.61 'c_HOL_Oord__class_Oless' [160, 1] (w:1, o:150, a:1, s:1, b:0),
% 1.23/1.61 'class_Lattices_Obounded__lattice' [161, 1] (w:1, o:186, a:1, s:1, b:
% 1.23/1.61 0),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__add' [162, 1] (w:1, o:187, a:1, s:1
% 1.23/1.61 , b:0),
% 1.23/1.61 'c_List_Ofoldl' [164, 5] (w:1, o:296, a:1, s:1, b:0),
% 1.23/1.61 'c_Lattices_Odistrib__lattice' [165, 5] (w:1, o:297, a:1, s:1, b:0),
% 1.23/1.61
% 1.23/1.61 'c_The' [166, 2] (w:1, o:246, a:1, s:1, b:0),
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% 1.23/1.61 , o:279, a:1, s:1, b:0),
% 1.23/1.61 'class_Orderings_Owellorder' [175, 1] (w:1, o:188, a:1, s:1, b:0),
% 1.23/1.61 'c_Orderings_Oord__class_OLeast' [176, 2] (w:1, o:239, a:1, s:1, b:0)
% 1.23/1.61 ,
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% 1.23/1.61 ,
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide' [182, 1] (w:1, o:191, a:1, s:1, b:0)
% 1.23/1.61 ,
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% 1.23/1.61 , b:0),
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% 1.23/1.61 1, s:1, b:0),
% 1.23/1.61 'c_Orderings_Oorder_Ostrict__mono' [188, 3] (w:1, o:268, a:1, s:1, b:
% 3.63/3.99 0),
% 3.63/3.99 'c_Orderings_Oorder_Omono' [193, 3] (w:1, o:269, a:1, s:1, b:0),
% 3.63/3.99 'c_Product__Type_Oscomp' [194, 6] (w:1, o:303, a:1, s:1, b:0),
% 3.63/3.99 'class_Orderings_Opreorder' [195, 1] (w:1, o:195, a:1, s:1, b:0),
% 3.63/3.99 'c_Hilbert__Choice_OEps' [196, 2] (w:1, o:247, a:1, s:1, b:0),
% 3.63/3.99 'class_OrderedGroup_Oab__semigroup__mult' [197, 1] (w:1, o:196, a:1
% 3.63/3.99 , s:1, b:0),
% 3.63/3.99 'c_Lattices_Oboolean__algebra' [200, 9] (w:1, o:306, a:1, s:1, b:0),
% 3.63/3.99
% 3.63/3.99 'class_OrderedGroup_Oab__group__add' [201, 1] (w:1, o:197, a:1, s:1
% 3.63/3.99 , b:0),
% 3.63/3.99 'class_OrderedGroup_Oab__semigroup__add' [202, 1] (w:1, o:198, a:1
% 3.63/3.99 , s:1, b:0),
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% 3.63/3.99 'class_Ring__and__Field_Osemiring__0' [214, 1] (w:1, o:200, a:1, s:1
% 3.63/3.99 , b:0),
% 3.63/3.99 'c_List_Omap' [216, 4] (w:1, o:288, a:1, s:1, b:0),
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% 3.63/3.99 , s:1, b:0),
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% 3.63/3.99 0),
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% 3.63/3.99 'class_Ring__and__Field_Oordered__idom' [226, 1] (w:1, o:183, a:1, s:
% 3.63/3.99 1, b:0),
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% 3.63/3.99 (w:1, o:204, a:1, s:1, b:0),
% 3.63/3.99 'c_Recdef_Ocut' [228, 2] (w:1, o:250, a:1, s:1, b:0),
% 3.63/3.99 'c_Finite__Set_Olattice_OSup__fin' [229, 3] (w:1, o:270, a:1, s:1, b:
% 3.63/3.99 0),
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% 3.63/3.99 (w:1, o:205, a:1, s:1, b:0),
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% 3.63/3.99 , a:1, s:1, b:0),
% 3.63/3.99 'class_HOL_Ouminus' [233, 1] (w:1, o:166, a:1, s:1, b:0),
% 3.63/3.99 'c_Fun_Ofcomp' [236, 3] (w:1, o:271, a:1, s:1, b:0),
% 3.63/3.99 'c_Relation_Otrans' [238, 2] (w:1, o:253, a:1, s:1, b:0),
% 3.63/3.99 'c_Relation_Osym' [239, 2] (w:1, o:252, a:1, s:1, b:0),
% 3.63/3.99 'class_Ring__and__Field_Oordered__ring__strict' [241, 1] (w:1, o:184
% 3.63/3.99 , a:1, s:1, b:0),
% 3.63/3.99 'class_Finite__Set_Ofinite_Ofinite' [242, 1] (w:1, o:207, a:1, s:1
% 3.63/3.99 , b:0),
% 3.63/3.99 'c_Finite__Set_Olinorder__class_OMin' [244, 2] (w:1, o:254, a:1, s:1
% 3.63/3.99 , b:0),
% 3.63/3.99 'class_Ring__and__Field_Ocomm__semiring' [249, 1] (w:1, o:193, a:1
% 3.63/3.99 , s:1, b:0),
% 3.63/3.99 'c_Finite__Set_Olinorder_OMax' [251, 3] (w:1, o:272, a:1, s:1, b:0),
% 3.63/3.99
% 3.63/3.99 'c_OrderedGroup_Oordered__ab__semigroup__add' [252, 4] (w:1, o:283
% 3.63/3.99 , a:1, s:1, b:0),
% 3.63/3.99 'c_Finite__Set_Olinorder_OMin' [253, 3] (w:1, o:273, a:1, s:1, b:0),
% 3.63/3.99
% 3.63/3.99 'v_B' [254, 0] (w:1, o:118, a:1, s:1, b:0),
% 3.63/3.99 'c_Predicate_OPowp' [255, 3] (w:1, o:275, a:1, s:1, b:0),
% 3.63/3.99 'c_List_Ofilter' [256, 3] (w:1, o:276, a:1, s:1, b:0),
% 3.63/3.99 'c_HOL_Oinduct__conj' [257, 0] (w:1, o:119, a:1, s:1, b:0),
% 3.63/3.99 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1' [258, 5
% 3.63/3.99 ] (w:1, o:298, a:1, s:1, b:0),
% 3.63/3.99 'c_FunDef_OTHE__default' [259, 1] (w:1, o:208, a:1, s:1, b:0),
% 3.63/3.99 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1' [260, 5]
% 3.63/3.99 (w:1, o:299, a:1, s:1, b:0),
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% 3.63/3.99 (w:1, o:289, a:1, s:1, b:0),
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% 3.63/3.99 'c_Hilbert__Choice_OGreatestM' [265, 4] (w:1, o:290, a:1, s:1, b:0),
% 3.63/3.99
% 3.63/3.99 'c_Recdef_Owfrec' [266, 5] (w:1, o:301, a:1, s:1, b:0),
% 3.63/3.99 'c_Recdef_Owfrec__rel' [267, 5] (w:1, o:302, a:1, s:1, b:0),
% 3.63/3.99 'c_Natural_Oevaln' [268, 0] (w:1, o:121, a:1, s:1, b:0),
% 3.63/3.99 'c_Natural_Osko__Natural__Xevaln__max2__1__1' [272, 6] (w:1, o:304
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% 23.87/24.28 'c_Hoare__Mirabelle_Otriple_Otriple' [279, 4] (w:1, o:291, a:1, s:1
% 23.87/24.28 , b:0),
% 23.87/24.28 'c_Hoare__Mirabelle_Otriple_Otriple__rec' [280, 4] (w:1, o:292, a:1
% 23.87/24.28 , s:1, b:0),
% 23.87/24.28 'c_Recdef_Oadm__wf' [281, 4] (w:1, o:280, a:1, s:1, b:0),
% 23.87/24.28 'v_upd' [282, 0] (w:1, o:125, a:1, s:1, b:0),
% 23.87/24.28 'v_acc' [283, 0] (w:1, o:126, a:1, s:1, b:0),
% 23.87/24.28 'c_Hilbert__Choice_OLeastM' [284, 4] (w:1, o:293, a:1, s:1, b:0),
% 23.87/24.28 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [285, 4] (w:1, o:294
% 23.87/24.28 , a:1, s:1, b:0),
% 23.87/24.28 'c_List_Olistsp' [286, 3] (w:1, o:277, a:1, s:1, b:0),
% 23.87/24.28 'c_Orderings_Oord_OLeast' [287, 3] (w:1, o:274, a:1, s:1, b:0),
% 23.87/24.28 'v_Q' [288, 0] (w:1, o:127, a:1, s:1, b:0),
% 23.87/24.28 't_c' [289, 0] (w:1, o:128, a:1, s:1, b:0),
% 23.87/24.28 'v_R' [290, 0] (w:1, o:129, a:1, s:1, b:0),
% 23.87/24.28 'c_Hoare__Mirabelle_Otriple__valid' [291, 2] (w:1, o:255, a:1, s:1
% 23.87/24.28 , b:0),
% 23.87/24.28 'tc_Com_Ocom' [292, 0] (w:1, o:130, a:1, s:1, b:0),
% 23.87/24.28 'tc_Com_Ostate' [293, 0] (w:1, o:131, a:1, s:1, b:0),
% 23.87/24.28 'c_Hoare__Mirabelle_Otriple_Otriple__case' [294, 3] (w:1, o:278, a:1
% 23.87/24.28 , s:1, b:0),
% 23.87/24.28 'v_n' [295, 0] (w:1, o:132, a:1, s:1, b:0),
% 23.87/24.28 'v_xa' [300, 0] (w:1, o:133, a:1, s:1, b:0),
% 23.87/24.28 'v_c' [301, 0] (w:1, o:134, a:1, s:1, b:0),
% 23.87/24.28 'v_xb' [302, 0] (w:1, o:135, a:1, s:1, b:0).
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Starting Search:
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 5998
% 23.87/24.28 Kept: 2403
% 23.87/24.28 Inuse: 136
% 23.87/24.28 Deleted: 2
% 23.87/24.28 Deletedinuse: 0
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 13955
% 23.87/24.28 Kept: 4825
% 23.87/24.28 Inuse: 227
% 23.87/24.28 Deleted: 4
% 23.87/24.28 Deletedinuse: 0
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 21189
% 23.87/24.28 Kept: 7056
% 23.87/24.28 Inuse: 271
% 23.87/24.28 Deleted: 5
% 23.87/24.28 Deletedinuse: 0
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 26271
% 23.87/24.28 Kept: 9066
% 23.87/24.28 Inuse: 305
% 23.87/24.28 Deleted: 7
% 23.87/24.28 Deletedinuse: 0
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 34809
% 23.87/24.28 Kept: 11116
% 23.87/24.28 Inuse: 324
% 23.87/24.28 Deleted: 10
% 23.87/24.28 Deletedinuse: 3
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 49672
% 23.87/24.28 Kept: 14264
% 23.87/24.28 Inuse: 373
% 23.87/24.28 Deleted: 11
% 23.87/24.28 Deletedinuse: 3
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 61966
% 23.87/24.28 Kept: 17058
% 23.87/24.28 Inuse: 388
% 23.87/24.28 Deleted: 11
% 23.87/24.28 Deletedinuse: 3
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 69754
% 23.87/24.28 Kept: 19117
% 23.87/24.28 Inuse: 408
% 23.87/24.28 Deleted: 11
% 23.87/24.28 Deletedinuse: 3
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying clauses:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 76726
% 23.87/24.28 Kept: 21168
% 23.87/24.28 Inuse: 437
% 23.87/24.28 Deleted: 91
% 23.87/24.28 Deletedinuse: 3
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 83148
% 23.87/24.28 Kept: 23179
% 23.87/24.28 Inuse: 460
% 23.87/24.28 Deleted: 91
% 23.87/24.28 Deletedinuse: 3
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 111907
% 23.87/24.28 Kept: 27164
% 23.87/24.28 Inuse: 492
% 23.87/24.28 Deleted: 91
% 23.87/24.28 Deletedinuse: 3
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 121565
% 23.87/24.28 Kept: 29329
% 23.87/24.28 Inuse: 537
% 23.87/24.28 Deleted: 91
% 23.87/24.28 Deletedinuse: 3
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 128968
% 23.87/24.28 Kept: 31499
% 23.87/24.28 Inuse: 567
% 23.87/24.28 Deleted: 91
% 23.87/24.28 Deletedinuse: 3
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 137142
% 23.87/24.28 Kept: 33506
% 23.87/24.28 Inuse: 610
% 23.87/24.28 Deleted: 92
% 23.87/24.28 Deletedinuse: 4
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 149259
% 23.87/24.28 Kept: 35665
% 23.87/24.28 Inuse: 632
% 23.87/24.28 Deleted: 92
% 23.87/24.28 Deletedinuse: 4
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 157840
% 23.87/24.28 Kept: 37952
% 23.87/24.28 Inuse: 662
% 23.87/24.28 Deleted: 92
% 23.87/24.28 Deletedinuse: 4
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28 Resimplifying inuse:
% 23.87/24.28 Done
% 23.87/24.28
% 23.87/24.28
% 23.87/24.28 Intermediate Status:
% 23.87/24.28 Generated: 164741
% 23.87/24.28 Kept: 40134
% 23.87/24.28 Inuse: 672
% 60.24/60.61 Deleted: 92
% 60.24/60.61 Deletedinuse: 4
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying clauses:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 171763
% 60.24/60.61 Kept: 42219
% 60.24/60.61 Inuse: 701
% 60.24/60.61 Deleted: 214
% 60.24/60.61 Deletedinuse: 6
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 179448
% 60.24/60.61 Kept: 44347
% 60.24/60.61 Inuse: 725
% 60.24/60.61 Deleted: 216
% 60.24/60.61 Deletedinuse: 8
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 194407
% 60.24/60.61 Kept: 48326
% 60.24/60.61 Inuse: 741
% 60.24/60.61 Deleted: 216
% 60.24/60.61 Deletedinuse: 8
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 203590
% 60.24/60.61 Kept: 50491
% 60.24/60.61 Inuse: 779
% 60.24/60.61 Deleted: 218
% 60.24/60.61 Deletedinuse: 8
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 219828
% 60.24/60.61 Kept: 52697
% 60.24/60.61 Inuse: 798
% 60.24/60.61 Deleted: 221
% 60.24/60.61 Deletedinuse: 10
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 231049
% 60.24/60.61 Kept: 55035
% 60.24/60.61 Inuse: 823
% 60.24/60.61 Deleted: 224
% 60.24/60.61 Deletedinuse: 13
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 248429
% 60.24/60.61 Kept: 57330
% 60.24/60.61 Inuse: 861
% 60.24/60.61 Deleted: 226
% 60.24/60.61 Deletedinuse: 13
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 255500
% 60.24/60.61 Kept: 59333
% 60.24/60.61 Inuse: 883
% 60.24/60.61 Deleted: 234
% 60.24/60.61 Deletedinuse: 21
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying clauses:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 261424
% 60.24/60.61 Kept: 61361
% 60.24/60.61 Inuse: 901
% 60.24/60.61 Deleted: 596
% 60.24/60.61 Deletedinuse: 22
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 274419
% 60.24/60.61 Kept: 63373
% 60.24/60.61 Inuse: 914
% 60.24/60.61 Deleted: 601
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 295410
% 60.24/60.61 Kept: 66122
% 60.24/60.61 Inuse: 924
% 60.24/60.61 Deleted: 601
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 311708
% 60.24/60.61 Kept: 68933
% 60.24/60.61 Inuse: 934
% 60.24/60.61 Deleted: 601
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 325071
% 60.24/60.61 Kept: 71087
% 60.24/60.61 Inuse: 949
% 60.24/60.61 Deleted: 601
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 346874
% 60.24/60.61 Kept: 73995
% 60.24/60.61 Inuse: 959
% 60.24/60.61 Deleted: 601
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 370969
% 60.24/60.61 Kept: 77007
% 60.24/60.61 Inuse: 974
% 60.24/60.61 Deleted: 601
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 394483
% 60.24/60.61 Kept: 80619
% 60.24/60.61 Inuse: 984
% 60.24/60.61 Deleted: 601
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying clauses:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 409487
% 60.24/60.61 Kept: 82786
% 60.24/60.61 Inuse: 994
% 60.24/60.61 Deleted: 853
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 419482
% 60.24/60.61 Kept: 85021
% 60.24/60.61 Inuse: 1019
% 60.24/60.61 Deleted: 853
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 429553
% 60.24/60.61 Kept: 87157
% 60.24/60.61 Inuse: 1044
% 60.24/60.61 Deleted: 853
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 448365
% 60.24/60.61 Kept: 91259
% 60.24/60.61 Inuse: 1059
% 60.24/60.61 Deleted: 853
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 463822
% 60.24/60.61 Kept: 96470
% 60.24/60.61 Inuse: 1073
% 60.24/60.61 Deleted: 853
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 472346
% 60.24/60.61 Kept: 98477
% 60.24/60.61 Inuse: 1088
% 60.24/60.61 Deleted: 853
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 483350
% 60.24/60.61 Kept: 101238
% 60.24/60.61 Inuse: 1104
% 60.24/60.61 Deleted: 853
% 60.24/60.61 Deletedinuse: 25
% 60.24/60.61
% 60.24/60.61 Resimplifying inuse:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61 Resimplifying clauses:
% 60.24/60.61 Done
% 60.24/60.61
% 60.24/60.61
% 60.24/60.61 Intermediate Status:
% 60.24/60.61 Generated: 503698
% 60.24/60.61 Kept: 104024
% 60.24/60.61 Inuse: 1124
% 60.24/60.61 Deleted: 978
% 60.24/60.61 Deletedinuse: 25
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 515410
% 132.97/133.41 Kept: 106257
% 132.97/133.41 Inuse: 1143
% 132.97/133.41 Deleted: 980
% 132.97/133.41 Deletedinuse: 26
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 524284
% 132.97/133.41 Kept: 108372
% 132.97/133.41 Inuse: 1158
% 132.97/133.41 Deleted: 981
% 132.97/133.41 Deletedinuse: 27
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 535511
% 132.97/133.41 Kept: 110440
% 132.97/133.41 Inuse: 1183
% 132.97/133.41 Deleted: 981
% 132.97/133.41 Deletedinuse: 27
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 548711
% 132.97/133.41 Kept: 112490
% 132.97/133.41 Inuse: 1208
% 132.97/133.41 Deleted: 981
% 132.97/133.41 Deletedinuse: 27
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 556559
% 132.97/133.41 Kept: 114492
% 132.97/133.41 Inuse: 1221
% 132.97/133.41 Deleted: 984
% 132.97/133.41 Deletedinuse: 28
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 565481
% 132.97/133.41 Kept: 116596
% 132.97/133.41 Inuse: 1239
% 132.97/133.41 Deleted: 986
% 132.97/133.41 Deletedinuse: 28
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 575031
% 132.97/133.41 Kept: 119338
% 132.97/133.41 Inuse: 1248
% 132.97/133.41 Deleted: 988
% 132.97/133.41 Deletedinuse: 29
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 583274
% 132.97/133.41 Kept: 121861
% 132.97/133.41 Inuse: 1253
% 132.97/133.41 Deleted: 989
% 132.97/133.41 Deletedinuse: 30
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying clauses:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 602960
% 132.97/133.41 Kept: 127472
% 132.97/133.41 Inuse: 1266
% 132.97/133.41 Deleted: 1186
% 132.97/133.41 Deletedinuse: 31
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 617996
% 132.97/133.41 Kept: 129761
% 132.97/133.41 Inuse: 1281
% 132.97/133.41 Deleted: 1186
% 132.97/133.41 Deletedinuse: 31
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 627954
% 132.97/133.41 Kept: 131775
% 132.97/133.41 Inuse: 1288
% 132.97/133.41 Deleted: 1186
% 132.97/133.41 Deletedinuse: 31
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 641107
% 132.97/133.41 Kept: 136117
% 132.97/133.41 Inuse: 1292
% 132.97/133.41 Deleted: 1186
% 132.97/133.41 Deletedinuse: 31
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 650212
% 132.97/133.41 Kept: 138118
% 132.97/133.41 Inuse: 1300
% 132.97/133.41 Deleted: 1186
% 132.97/133.41 Deletedinuse: 31
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 664414
% 132.97/133.41 Kept: 140564
% 132.97/133.41 Inuse: 1321
% 132.97/133.41 Deleted: 1186
% 132.97/133.41 Deletedinuse: 31
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 679620
% 132.97/133.41 Kept: 142935
% 132.97/133.41 Inuse: 1351
% 132.97/133.41 Deleted: 1186
% 132.97/133.41 Deletedinuse: 31
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying clauses:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 691737
% 132.97/133.41 Kept: 144949
% 132.97/133.41 Inuse: 1373
% 132.97/133.41 Deleted: 1272
% 132.97/133.41 Deletedinuse: 31
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 712874
% 132.97/133.41 Kept: 149829
% 132.97/133.41 Inuse: 1381
% 132.97/133.41 Deleted: 1272
% 132.97/133.41 Deletedinuse: 31
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 730738
% 132.97/133.41 Kept: 153905
% 132.97/133.41 Inuse: 1386
% 132.97/133.41 Deleted: 1273
% 132.97/133.41 Deletedinuse: 32
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 745052
% 132.97/133.41 Kept: 157410
% 132.97/133.41 Inuse: 1401
% 132.97/133.41 Deleted: 1273
% 132.97/133.41 Deletedinuse: 32
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 768041
% 132.97/133.41 Kept: 162811
% 132.97/133.41 Inuse: 1416
% 132.97/133.41 Deleted: 1273
% 132.97/133.41 Deletedinuse: 32
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying clauses:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 781185
% 132.97/133.41 Kept: 165466
% 132.97/133.41 Inuse: 1436
% 132.97/133.41 Deleted: 1331
% 132.97/133.41 Deletedinuse: 32
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 796997
% 132.97/133.41 Kept: 169345
% 132.97/133.41 Inuse: 1451
% 132.97/133.41 Deleted: 1332
% 132.97/133.41 Deletedinuse: 33
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 807158
% 132.97/133.41 Kept: 171655
% 132.97/133.41 Inuse: 1471
% 132.97/133.41 Deleted: 1332
% 132.97/133.41 Deletedinuse: 33
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 815953
% 132.97/133.41 Kept: 173875
% 132.97/133.41 Inuse: 1486
% 132.97/133.41 Deleted: 1332
% 132.97/133.41 Deletedinuse: 33
% 132.97/133.41
% 132.97/133.41 Resimplifying inuse:
% 132.97/133.41 Done
% 132.97/133.41
% 132.97/133.41
% 132.97/133.41 Intermediate Status:
% 132.97/133.41 Generated: 849432
% 216.74/217.20 Kept: 177947
% 216.74/217.20 Inuse: 1499
% 216.74/217.20 Deleted: 1335
% 216.74/217.20 Deletedinuse: 34
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 861057
% 216.74/217.20 Kept: 180494
% 216.74/217.20 Inuse: 1519
% 216.74/217.20 Deleted: 1335
% 216.74/217.20 Deletedinuse: 34
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 874441
% 216.74/217.20 Kept: 182851
% 216.74/217.20 Inuse: 1544
% 216.74/217.20 Deleted: 1335
% 216.74/217.20 Deletedinuse: 34
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying clauses:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 886000
% 216.74/217.20 Kept: 186194
% 216.74/217.20 Inuse: 1550
% 216.74/217.20 Deleted: 2448
% 216.74/217.20 Deletedinuse: 34
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 893106
% 216.74/217.20 Kept: 188382
% 216.74/217.20 Inuse: 1559
% 216.74/217.20 Deleted: 2449
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 901073
% 216.74/217.20 Kept: 190388
% 216.74/217.20 Inuse: 1578
% 216.74/217.20 Deleted: 2449
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 910285
% 216.74/217.20 Kept: 192421
% 216.74/217.20 Inuse: 1594
% 216.74/217.20 Deleted: 2449
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 918676
% 216.74/217.20 Kept: 194548
% 216.74/217.20 Inuse: 1609
% 216.74/217.20 Deleted: 2449
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 929630
% 216.74/217.20 Kept: 197078
% 216.74/217.20 Inuse: 1624
% 216.74/217.20 Deleted: 2449
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 947161
% 216.74/217.20 Kept: 201803
% 216.74/217.20 Inuse: 1638
% 216.74/217.20 Deleted: 2450
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 958083
% 216.74/217.20 Kept: 204978
% 216.74/217.20 Inuse: 1643
% 216.74/217.20 Deleted: 2450
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying clauses:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 968748
% 216.74/217.20 Kept: 207995
% 216.74/217.20 Inuse: 1648
% 216.74/217.20 Deleted: 2838
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 979443
% 216.74/217.20 Kept: 211018
% 216.74/217.20 Inuse: 1653
% 216.74/217.20 Deleted: 2838
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 995570
% 216.74/217.20 Kept: 216252
% 216.74/217.20 Inuse: 1663
% 216.74/217.20 Deleted: 2838
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1006863
% 216.74/217.20 Kept: 219645
% 216.74/217.20 Inuse: 1668
% 216.74/217.20 Deleted: 2838
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1018115
% 216.74/217.20 Kept: 222981
% 216.74/217.20 Inuse: 1673
% 216.74/217.20 Deleted: 2838
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1023246
% 216.74/217.20 Kept: 225165
% 216.74/217.20 Inuse: 1678
% 216.74/217.20 Deleted: 2838
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying clauses:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1029832
% 216.74/217.20 Kept: 228059
% 216.74/217.20 Inuse: 1683
% 216.74/217.20 Deleted: 2934
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1036711
% 216.74/217.20 Kept: 230991
% 216.74/217.20 Inuse: 1688
% 216.74/217.20 Deleted: 2934
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1048070
% 216.74/217.20 Kept: 233468
% 216.74/217.20 Inuse: 1703
% 216.74/217.20 Deleted: 2934
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1059293
% 216.74/217.20 Kept: 235475
% 216.74/217.20 Inuse: 1720
% 216.74/217.20 Deleted: 2934
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1068774
% 216.74/217.20 Kept: 237483
% 216.74/217.20 Inuse: 1734
% 216.74/217.20 Deleted: 2934
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1079283
% 216.74/217.20 Kept: 240026
% 216.74/217.20 Inuse: 1743
% 216.74/217.20 Deleted: 2934
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1109712
% 216.74/217.20 Kept: 244377
% 216.74/217.20 Inuse: 1758
% 216.74/217.20 Deleted: 2934
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20 Resimplifying clauses:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1128117
% 216.74/217.20 Kept: 248833
% 216.74/217.20 Inuse: 1773
% 216.74/217.20 Deleted: 3153
% 216.74/217.20 Deletedinuse: 35
% 216.74/217.20
% 216.74/217.20 Resimplifying inuse:
% 216.74/217.20 Done
% 216.74/217.20
% 216.74/217.20
% 216.74/217.20 Intermediate Status:
% 216.74/217.20 Generated: 1147518
% 218.26/218.68 Kept: 251306
% 218.26/218.68 Inuse: 1774
% 218.26/218.68 Deleted: 3159
% 218.26/218.68 Deletedinuse: 37
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1183270
% 218.26/218.68 Kept: 253903
% 218.26/218.68 Inuse: 1779
% 218.26/218.68 Deleted: 3159
% 218.26/218.68 Deletedinuse: 37
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1198142
% 218.26/218.68 Kept: 257064
% 218.26/218.68 Inuse: 1789
% 218.26/218.68 Deleted: 3160
% 218.26/218.68 Deletedinuse: 38
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1212129
% 218.26/218.68 Kept: 259513
% 218.26/218.68 Inuse: 1809
% 218.26/218.68 Deleted: 3160
% 218.26/218.68 Deletedinuse: 38
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1240005
% 218.26/218.68 Kept: 266132
% 218.26/218.68 Inuse: 1820
% 218.26/218.68 Deleted: 3165
% 218.26/218.68 Deletedinuse: 39
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying clauses:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1262517
% 218.26/218.68 Kept: 271397
% 218.26/218.68 Inuse: 1825
% 218.26/218.68 Deleted: 3375
% 218.26/218.68 Deletedinuse: 40
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1270574
% 218.26/218.68 Kept: 273660
% 218.26/218.68 Inuse: 1831
% 218.26/218.68 Deleted: 3380
% 218.26/218.68 Deletedinuse: 41
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1284957
% 218.26/218.68 Kept: 276129
% 218.26/218.68 Inuse: 1851
% 218.26/218.68 Deleted: 3380
% 218.26/218.68 Deletedinuse: 41
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1299719
% 218.26/218.68 Kept: 278129
% 218.26/218.68 Inuse: 1875
% 218.26/218.68 Deleted: 3380
% 218.26/218.68 Deletedinuse: 41
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1306778
% 218.26/218.68 Kept: 280723
% 218.26/218.68 Inuse: 1881
% 218.26/218.68 Deleted: 3380
% 218.26/218.68 Deletedinuse: 41
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1317279
% 218.26/218.68 Kept: 282728
% 218.26/218.68 Inuse: 1897
% 218.26/218.68 Deleted: 3380
% 218.26/218.68 Deletedinuse: 41
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1329231
% 218.26/218.68 Kept: 284864
% 218.26/218.68 Inuse: 1914
% 218.26/218.68 Deleted: 3380
% 218.26/218.68 Deletedinuse: 41
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying clauses:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1366285
% 218.26/218.68 Kept: 290763
% 218.26/218.68 Inuse: 1926
% 218.26/218.68 Deleted: 3519
% 218.26/218.68 Deletedinuse: 41
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1403471
% 218.26/218.68 Kept: 295697
% 218.26/218.68 Inuse: 1931
% 218.26/218.68 Deleted: 3519
% 218.26/218.68 Deletedinuse: 41
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1412169
% 218.26/218.68 Kept: 297707
% 218.26/218.68 Inuse: 1945
% 218.26/218.68 Deleted: 3520
% 218.26/218.68 Deletedinuse: 42
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1421702
% 218.26/218.68 Kept: 300268
% 218.26/218.68 Inuse: 1956
% 218.26/218.68 Deleted: 3520
% 218.26/218.68 Deletedinuse: 42
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1433342
% 218.26/218.68 Kept: 303575
% 218.26/218.68 Inuse: 1966
% 218.26/218.68 Deleted: 3520
% 218.26/218.68 Deletedinuse: 42
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1440049
% 218.26/218.68 Kept: 305575
% 218.26/218.68 Inuse: 1971
% 218.26/218.68 Deleted: 3520
% 218.26/218.68 Deletedinuse: 42
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying clauses:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1450882
% 218.26/218.68 Kept: 308192
% 218.26/218.68 Inuse: 1981
% 218.26/218.68 Deleted: 3723
% 218.26/218.68 Deletedinuse: 42
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1461306
% 218.26/218.68 Kept: 310586
% 218.26/218.68 Inuse: 1991
% 218.26/218.68 Deleted: 3723
% 218.26/218.68 Deletedinuse: 42
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1480169
% 218.26/218.68 Kept: 314391
% 218.26/218.68 Inuse: 2001
% 218.26/218.68 Deleted: 3723
% 218.26/218.68 Deletedinuse: 42
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1487884
% 218.26/218.68 Kept: 316397
% 218.26/218.68 Inuse: 2008
% 218.26/218.68 Deleted: 3724
% 218.26/218.68 Deletedinuse: 43
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1495474
% 218.26/218.68 Kept: 318429
% 218.26/218.68 Inuse: 2014
% 218.26/218.68 Deleted: 3724
% 218.26/218.68 Deletedinuse: 43
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1501362
% 218.26/218.68 Kept: 320518
% 218.26/218.68 Inuse: 2016
% 218.26/218.68 Deleted: 3724
% 218.26/218.68 Deletedinuse: 43
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1508786
% 218.26/218.68 Kept: 322691
% 218.26/218.68 Inuse: 2021
% 218.26/218.68 Deleted: 3724
% 218.26/218.68 Deletedinuse: 43
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Intermediate Status:
% 218.26/218.68 Generated: 1525217
% 218.26/218.68 Kept: 326780
% 218.26/218.68 Inuse: 2026
% 218.26/218.68 Deleted: 3724
% 218.26/218.68 Deletedinuse: 43
% 218.26/218.68
% 218.26/218.68 Resimplifying inuse:
% 218.26/218.68 Done
% 218.26/218.68
% 218.26/218.68 assignments is full
% 218.26/218.68
% 218.26/218.68 Memory use:
% 218.26/218.68
% 218.26/218.68 space for terms: 16996570
% 218.26/218.68 space for clauses: 18599992
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 clauses generated: 1529294
% 218.26/218.68 clauses kept: 327598
% 218.26/218.68 clauses selected: 2031
% 218.26/218.68 clauses deleted: 3725
% 218.26/218.68 clauses inuse deleted: 44
% 218.26/218.68
% 218.26/218.68 subsentry: 23998048
% 218.26/218.68 literals s-matched: 14018544
% 218.26/218.68 literals matched: 12819490
% 218.26/218.68 full subsumption: 7846063
% 218.26/218.68
% 218.26/218.68 checksum: 1466276192
% 218.26/218.68
% 218.26/218.68
% 218.26/218.68 Bliksem ended
%------------------------------------------------------------------------------