TSTP Solution File: SWV863-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV863-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 16:28:54 EDT 2022
% Result : Timeout 300.09s 300.60s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV863-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Thu Jun 16 04:17:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.07/1.44 *** allocated 10000 integers for termspace/termends
% 1.07/1.44 *** allocated 10000 integers for clauses
% 1.07/1.44 *** allocated 10000 integers for justifications
% 1.07/1.44 *** allocated 15000 integers for termspace/termends
% 1.07/1.44 *** allocated 22500 integers for termspace/termends
% 1.07/1.44 Bliksem 1.12
% 1.07/1.44
% 1.07/1.44
% 1.07/1.44 Automatic Strategy Selection
% 1.07/1.44
% 1.07/1.44 Clauses:
% 1.07/1.44 [
% 1.07/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.44 'c_Finite__Set_Olattice__class_OInf__fin'( X ), Y ), hAPP(
% 1.07/1.44 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ) ), =( Y,
% 1.07/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.07/1.44 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.07/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.44 'c_Finite__Set_Olattice__class_OSup__fin'( X ), Y ), hAPP(
% 1.07/1.44 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ) ), =( Y,
% 1.07/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.07/1.44 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.07/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.44 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.07/1.44 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 1.07/1.44 ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.07/1.44 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.07/1.44 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.07/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP(
% 1.07/1.44 'c_Finite__Set_Olattice__class_OInf__fin'( X ), Z ) ), Y ), ~( hBOOL(
% 1.07/1.44 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X )
% 1.07/1.44 ) ],
% 1.07/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.07/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ),
% 1.07/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.07/1.44 hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.44 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.07/1.44 ) ) ) ) ],
% 1.07/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.44 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W
% 1.07/1.44 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.44 X ), T ), U ) ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.07/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.07/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ),
% 1.07/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.07/1.44 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.44 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.07/1.44 ) ), W ) ) ) ],
% 1.07/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.07/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~(
% 1.07/1.44 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.44 X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.07/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.44 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.44 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T )
% 1.07/1.44 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.07/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.44 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.07/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.07/1.44 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.44 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ) ),
% 1.07/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.07/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.44 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.44 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.07/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ) ), W ) ) ) ]
% 1.07/1.44 ,
% 1.07/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.44 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~(
% 1.07/1.44 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.44 X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), Z ), Y ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.07/1.45 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.07/1.45 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.07/1.45 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.07/1.45 'c_Finite__Set_Olattice__class_OSup__fin'( X ), Z ) ), Y ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), T ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), T ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.07/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Finite__Set_Olattice__class_OInf__fin'( X ), 'c_Finite__Set_Ofold1'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 X ), Y ), Z ) ), Z ), Y ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.07/1.45 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.07/1.45 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.07/1.45 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.07/1.45 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.07/1.45 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.07/1.45 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.07/1.45 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.07/1.45 ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.07/1.45 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 1.07/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 1.07/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.07/1.45 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), hAPP( 'c_Finite__Set_Olattice__class_OInf__fin'( X ), Y ) ), hAPP(
% 1.07/1.45 'c_Finite__Set_Olattice__class_OSup__fin'( X ), Y ) ) ), =( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), T ), Z ) ), U ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Finite__Set_Olattice__class_OSup__fin'( X ), 'c_Finite__Set_Ofold1'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T
% 1.07/1.45 ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Z, T ) ),
% 1.07/1.45 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( Y ), T ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( 't_b' ) ), =(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'v_A', 'v_f',
% 1.07/1.45 't_a', 't_b' ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( 't_b' ),
% 1.07/1.45 hAPP( 'c_Set_Oimage'( 'v_f', 't_a', 't_b' ), 'v_A' ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 1.07/1.45 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.07/1.45 X ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.07/1.45 X ), Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Z, U ) ), hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) )
% 1.07/1.45 , ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( 'c_Collect'( X )
% 1.07/1.45 , hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP(
% 1.07/1.45 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ) ), hAPP( 'c_COMBC'(
% 1.07/1.45 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.07/1.45 'c_Finite__Set_Olattice__class_OSup__fin'( X ), Z ) ), hAPP(
% 1.07/1.45 'c_Finite__Set_Olattice__class_OSup__fin'( X ), hAPP( 'c_Collect'( X ),
% 1.07/1.45 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'(
% 1.07/1.45 X ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.07/1.45 , 'tc_bool' ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), X ), 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) ), X
% 1.07/1.45 , 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ) ) ) ), X, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( X )
% 1.07/1.45 , X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ) ), =( Z,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), X
% 1.07/1.45 ), 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.07/1.45 'tc_bool' ) ), Y ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP(
% 1.07/1.45 hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.07/1.45 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.07/1.45 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( 'c_COMBC'( 'c_in'( X ), X,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ) ) ), hAPP( 'c_COMBC'( 'c_in'(
% 1.07/1.45 X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 1.07/1.45 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.07/1.45 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.07/1.45 , X ), T ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), hAPP( 'c_Finite__Set_Ofold1'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ), Y ) ), Z ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 X ), Y ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~(
% 1.07/1.45 'class_Lattices_Olower__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( Y ), hAPP( Z, hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), U ) ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y ), hAPP( Z, T ) ),
% 1.07/1.45 hAPP( Z, U ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ), 'tc_bool' ), Y ) ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.07/1.45 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.07/1.45 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ) ),
% 1.07/1.45 hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z
% 1.07/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y
% 1.07/1.45 ) ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.07/1.45 'tc_bool' ), Z ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.07/1.45 Z ) ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.07/1.45 Z ) ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.07/1.45 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.07/1.45 ), T ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.07/1.45 ), Z ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.07/1.45 ), T ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.07/1.45 ), Z ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a',
% 1.07/1.45 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ) ), hAPP( 'c_COMBC'( 'c_in'(
% 1.07/1.45 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), Y ) ), 'v_x' )
% 1.07/1.45 , hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 'tc_bool'
% 1.07/1.45 ) ), X ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( 'v_f', 't_a', 't_b' ), 'v_A' ), hAPP(
% 1.07/1.45 'c_Collect'( 't_b' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.07/1.45 , 'tc_bool', 't_b' ), 'c_Ex'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.07/1.45 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 't_b' ), hAPP(
% 1.07/1.45 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), hAPP(
% 1.07/1.45 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.07/1.45 'tc_bool' ), 'v_A' ) ) ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 't_a', 't_b' ),
% 1.07/1.45 'tc_fun'( 't_a', 'tc_bool' ) ), 't_b' ), 'c_COMBB'( 't_b', 'tc_bool',
% 1.07/1.45 't_a' ) ), 'c_fequal'( 't_b' ) ), 't_b', 'tc_fun'( 't_a', 't_b' ),
% 1.07/1.45 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_f' ) ) ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool'
% 1.07/1.45 , 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X
% 1.07/1.45 , 'tc_bool' ), 'tc_bool' ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.07/1.45 'tc_bool', X ), 'c_Not' ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP(
% 1.07/1.45 'c_Finite__Set_Olattice__class_OInf__fin'( X ), Z ) ), hAPP(
% 1.07/1.45 'c_Finite__Set_Olattice__class_OInf__fin'( X ), hAPP( 'c_Collect'( X ),
% 1.07/1.45 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'(
% 1.07/1.45 X ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.07/1.45 , 'tc_bool' ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), X ), 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) ), X
% 1.07/1.45 , 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ) ) ) ), X, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( X )
% 1.07/1.45 , X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ) ), =( Z,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.07/1.45 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.07/1.45 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.07/1.45 hBOOL( hAPP( Z,
% 1.07/1.45 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.07/1.45 , T, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), Z )
% 1.07/1.45 , Y ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__semigroup__add'( X ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.07/1.45 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ),
% 1.07/1.45 'c_Finite__Set_Olinorder__class_OMax'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) ), hAPP(
% 1.07/1.45 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.07/1.45 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.07/1.45 , 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.07/1.45 , 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) ), X, 'tc_fun'( X, X )
% 1.07/1.45 , 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.07/1.45 ) ) ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) )
% 1.07/1.45 ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__semigroup__add'( X ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.07/1.45 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ),
% 1.07/1.45 'c_Finite__Set_Olinorder__class_OMin'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) ), hAPP(
% 1.07/1.45 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.07/1.45 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.07/1.45 , 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.07/1.45 , 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) ), X, 'tc_fun'( X, X )
% 1.07/1.45 , 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.07/1.45 ) ) ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) )
% 1.07/1.45 ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, Z, T ), U ), T, W ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, T, W, Z ), U, Z, W ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.07/1.45 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ),
% 1.07/1.45 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ) )
% 1.07/1.45 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X )
% 1.07/1.45 , Y ), X ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, U, X ), W ) ), T ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( 'c_Set_Oimage'( Z, T, Y ), U ) ) )
% 1.07/1.45 ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y
% 1.07/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z ), hBOOL(
% 1.07/1.45 hAPP( X, Z ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 hAPP( 'c_Set_Oimage'( U, X, T ), Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ),
% 1.07/1.45 Z ) ) ) ), ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), X, T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), U ) )
% 1.07/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 1.07/1.45 , U ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), Z ), 'c_The'(
% 1.07/1.45 'c_Finite__Set_Ofold1Set'( X, Z, Y ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 1.07/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.07/1.45 , Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 X, Y, Z ), T ), U ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ) ), Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'(
% 1.07/1.45 U, Z, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 1.07/1.45 X ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.07/1.45 , hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ), ~( hBOOL(
% 1.07/1.45 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.07/1.45 , V2, Z, Y ) ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.07/1.45 , Z, V2, Y ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 1.07/1.45 , hAPP( 'c_Set_Oinsert'( Y ), T ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, Z, 'tc_fun'(
% 1.07/1.45 Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.07/1.45 , X ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z,
% 1.07/1.45 Y, U ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Collect'( X ), Y ), Y ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.07/1.45 , T ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.07/1.45 , Z ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 X ), Y ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 1.07/1.45 , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.07/1.45 , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.07/1.45 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U
% 1.07/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.07/1.45 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.07/1.45 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( Y ), hAPP( U, Z ) ), hAPP( U, T ) ) ) ), ~( hBOOL(
% 1.07/1.45 'c_Orderings_Oorder__class_Ostrict__mono'( U, X, Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.07/1.45 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ),
% 1.07/1.45 hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T
% 1.07/1.45 ), U ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.07/1.45 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( U, Z ) ), hAPP(
% 1.07/1.45 U, T ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( U, X,
% 1.07/1.45 Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ), hAPP(
% 1.07/1.45 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.07/1.45 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.07/1.45 ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool'
% 1.07/1.45 ), Y ) ) ) ), 'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ) ) ) ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.07/1.45 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ), Y ), 'c_Collect'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_COMBS'( Z,
% 1.07/1.45 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), U ) ) ) ), W ) ) ) ), V0 ), hAPP(
% 1.07/1.45 hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBS'( Z, 'tc_fun'(
% 1.07/1.45 Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, X ), 'tc_fun'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ), X ), Z ), 'c_Finite__Set_Osetsum'( Y, X ) ),
% 1.07/1.45 'c_COMBC'( T, Y, Z, X ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z ), 'c_Collect'( Y ) ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 1.07/1.45 , hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), hAPP(
% 1.07/1.45 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), V0 ) )
% 1.07/1.45 ) ), 'c_COMBC'( W, Y, Z, 'tc_bool' ) ) ) ) ), U ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( U, Z ) ), ~( 'c_Finite__Set_Ofinite'( V0, Y ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( U, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ), X, U ), hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ) ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U )
% 1.07/1.45 , 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ), U ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' )
% 1.07/1.45 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y )
% 1.07/1.45 , 'c_and' ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ),
% 1.07/1.45 'tc_bool' ), T ) ) ) ), 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( U
% 1.07/1.45 , 'tc_bool' ), Y ), 'c_fequal'( U ) ), W ), Y, U, 'tc_bool' ) ) ) ) ),
% 1.07/1.45 hAPP( 'c_Set_Oimage'( W, Y, U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'( T,
% 1.07/1.45 Y ) ) ],
% 1.07/1.45 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OGreatestM'( Y, Z, T
% 1.07/1.45 , X ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.07/1.45 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.07/1.45 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( X, 'tc_fun'( T, 'tc_bool' ), T ), 'c_COMBC'( hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ), 'c_lessequals'( X ) ), Y ),
% 1.07/1.45 T, X, 'tc_bool' ) ), Y ) ) ) ), T ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ), hAPP(
% 1.07/1.45 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.07/1.45 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.07/1.45 ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool'
% 1.07/1.45 ), Y ) ) ) ), 'c_lessequals'( X ) ) ) ) ) ) ],
% 1.07/1.45 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.07/1.45 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.07/1.45 'c_COMBC'( 'c_in'( T ), T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ) ) )
% 1.07/1.45 ), 'c_COMBC'( U, T, T, 'tc_bool' ) ) ) ) ) ), ~(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'( Z, X, U, W, V0, V1, V2, V3, T )
% 1.07/1.45 ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( Y, X
% 1.07/1.45 , Z, 'tc_bool' ), T ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U )
% 1.07/1.45 ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Z ) ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X )
% 1.07/1.45 , hAPP( 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP(
% 1.07/1.45 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), U ) ) )
% 1.07/1.45 ), Y ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) ) ],
% 1.07/1.45 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.07/1.45 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.07/1.45 'c_COMBC'( 'c_in'( T ), T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ) ) )
% 1.07/1.45 ), U ) ) ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, Z, U, W
% 1.07/1.45 , V0, V1, V2, V3, T ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.07/1.45 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.07/1.45 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.07/1.45 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( T, X
% 1.07/1.45 , Y, 'tc_bool' ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.07/1.45 , T, Y, X ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y
% 1.07/1.45 ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'(
% 1.07/1.45 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.07/1.45 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_COMBC'( 'c_lessequals'( X
% 1.07/1.45 ), X, X, 'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X,
% 1.07/1.45 'tc_bool' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.07/1.45 , X ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 1.07/1.45 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 1.07/1.45 , Z ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 1.07/1.45 ), hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( X, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.07/1.45 X, Y, U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), T ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( X, T, Y, U ) ) ],
% 1.07/1.45 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 1.07/1.45 'c_Natural_Oevaln'( Y, T, U, W ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevaln'( Z, Y, T, U ), ~(
% 1.07/1.45 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Z, W ), Y, T, U ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 , Z ) ), T ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.07/1.45 , 'tc_bool' ) ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.07/1.45 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.07/1.45 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.07/1.45 Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U ), ~(
% 1.07/1.45 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~(
% 1.07/1.45 'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.07/1.45 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 1.07/1.45 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 1.07/1.45 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), U ) )
% 1.07/1.45 ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.07/1.45 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 1.07/1.45 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), T ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.07/1.45 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.07/1.45 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.07/1.45 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.07/1.45 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.07/1.45 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.07/1.45 Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.07/1.45 Y ), Z ) ) ) ],
% 1.07/1.45 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 1.07/1.45 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Z ), Y ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.07/1.45 ), Y ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.07/1.45 X, Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 X, Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Collect'( X ), Z ) ) ),
% 1.07/1.45 ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.07/1.45 'c_Collect'( Z ), X ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.07/1.45 X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.07/1.45 X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.07/1.45 U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.07/1.45 Y, 'tc_bool' ) ), Y, Z ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Y ), T ) ), Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.07/1.45 ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), T ), Z ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.07/1.45 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), T ), Y ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.07/1.45 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.07/1.45 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), Z ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Z ), Y ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ),
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP(
% 1.07/1.45 Z, 'v_x' ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X
% 1.07/1.45 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.07/1.45 ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.07/1.45 'tc_bool' ), Y ) ) ), Z ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.07/1.45 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.07/1.45 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.07/1.45 =( X, Z ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.07/1.45 =( Y, T ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), U ), T ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) )
% 1.07/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.07/1.45 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, U, Z ), W ), Z, T ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.07/1.45 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.07/1.45 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.07/1.45 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.07/1.45 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.07/1.45 ) ), ~( =( hAPP( Z, T ), hAPP( Z, U ) ) ), ~( hBOOL(
% 1.07/1.45 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ), =( T, U ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ), hAPP(
% 1.07/1.45 Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U
% 1.07/1.45 ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 T, Y ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.07/1.45 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 T, Y ) ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.07/1.45 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 , T ), U ), Y, Z ) ), =( T, U ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.07/1.45 , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, Y, U, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.07/1.45 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 1.07/1.45 X ), Y ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 1.07/1.45 , Z ), T ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.07/1.45 , =( Z, W ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.07/1.45 , =( Y, U ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.07/1.45 , =( X, T ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.07/1.45 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 1.07/1.45 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 1.07/1.45 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 1.07/1.45 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 1.07/1.45 ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ),
% 1.07/1.45 ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), X, T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.07/1.45 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.07/1.45 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.07/1.45 =( Y, U ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.07/1.45 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.07/1.45 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.07/1.45 Y, Z ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T
% 1.07/1.45 ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), Z
% 1.07/1.45 , Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( T, X, Y ), hAPP( 'c_Set_Oimage'( U, Z, X ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 1.07/1.45 Z, Y, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool'
% 1.07/1.45 ) ), hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ) ), Z ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.07/1.45 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , T ), Z ) ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), U ), W ), T, 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 hAPP( 'c_Set_Oimage'( W, T, Y ), X ), U, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.07/1.45 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.07/1.45 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.07/1.45 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 'c_Finite__Set_Ofold1'(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), X ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.07/1.45 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.07/1.45 [ 'c_Natural_Oevaln'( X, Y, Z, T ), hBOOL( hAPP( U, Y ) ), ~(
% 1.07/1.45 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( U, W, X ), Y, Z, T ) ) ],
% 1.07/1.45 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 1.07/1.45 'c_Natural_Oevaln'( Z, T, U, W ) ), hBOOL( hAPP( X, T ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.07/1.45 ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.07/1.45 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.07/1.45 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 1.07/1.45 , hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), T ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 , T ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, Z,
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.07/1.45 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 1.07/1.45 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 1.07/1.45 'tc_bool' ) ), hAPP( T, Y ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 1.07/1.45 X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.07/1.45 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.07/1.45 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.07/1.45 , hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Y
% 1.07/1.45 ) ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X
% 1.07/1.45 ), Z ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.07/1.45 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 1.07/1.45 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.07/1.45 'tc_bool' ), Y ), X ), Y ) ],
% 1.07/1.45 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 1.07/1.45 , 'v_x' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~(
% 1.07/1.45 'class_Lattices_Oupper__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y ), hAPP( Z, T ) ), hAPP(
% 1.07/1.45 Z, U ) ) ), hAPP( Z, hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), U ) ) ) ), ~(
% 1.07/1.45 hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 1.07/1.45 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 T, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ), W ), 'c_Set_Oimage'( X, Y, Z ) ), U ), W, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.07/1.45 X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.07/1.45 Y, X ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( Y, T, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), U ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ) ),
% 1.07/1.45 ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ), U ), T, X
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.07/1.45 , Y ), T ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 1.07/1.45 ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), 'c_Fun_Ocomp'( Z, T, Y
% 1.07/1.45 , X, U ) ), W ) ), ~( 'c_Fun_Oinj__on'( T, W, U, Y ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Y ), hAPP( 'c_Set_Oimage'( X, Z, Z ), Y ) ) )
% 1.07/1.45 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.07/1.45 , U ), Y ), Z, T ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.07/1.45 , Y ), U ), Z, T ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.07/1.45 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.07/1.45 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.07/1.45 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.07/1.45 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 1.07/1.45 ) ), hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( Y, Z, U ), X ), T ), U
% 1.07/1.45 , Z ), W ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.07/1.45 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.07/1.45 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.07/1.45 , V2, Z, Y ) ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.07/1.45 , Z, V2, Y ) ) ],
% 1.07/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_Collect'( X ), Y ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.07/1.45 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_Collect'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ), Y ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ) ), Y ), Y ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 1.07/1.45 ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), Y, Z ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 X ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.07/1.45 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.07/1.45 'tc_bool' ), Y ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Y ), Z ) ), T ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 1.07/1.45 , hAPP( 'c_Set_Oinsert'( Y ), T ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, Z, 'tc_fun'(
% 1.07/1.45 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 Z, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ), U ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), T ), U, 'tc_fun'( X
% 1.07/1.45 , 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ), T ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), Z ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.07/1.45 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.07/1.45 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.07/1.45 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 1.07/1.45 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.07/1.45 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.07/1.45 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 1.07/1.45 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.07/1.45 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.07/1.45 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), T ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Z ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Y ) ), Z ) ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.07/1.45 , Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.07/1.45 , Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.07/1.45 , Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Z, T ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.07/1.45 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.07/1.45 'tc_bool' ), Y ) ) ), Z ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.07/1.45 , 'tc_bool' ) ) ), hBOOL( hAPP( Z, Y ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.07/1.45 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.07/1.45 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Z ) ), Y ) ), X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.07/1.45 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.07/1.45 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_Natural_Oevalc'( T ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, T ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 1.07/1.45 , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), U ) ) )
% 1.07/1.45 , hBOOL( hAPP( X, T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( T
% 1.07/1.45 , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T
% 1.07/1.45 , U, X ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP' ), X ), X )
% 1.07/1.45 ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ),
% 1.07/1.45 Z ), Z ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ),
% 1.07/1.45 Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'(
% 1.07/1.45 X, Y ) ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), Z
% 1.07/1.45 ), U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 1.07/1.45 , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), T ), U ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z )
% 1.07/1.45 , Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'(
% 1.07/1.45 'c_Com_Ocom_OCond'( X, Z, U ) ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ) ), Z
% 1.07/1.45 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), U ), T ) ) ),
% 1.07/1.45 ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Z ), U ) ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'(
% 1.07/1.45 'c_Com_Ocom_OSKIP' ), Y ), X ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.07/1.45 , hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ), X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T
% 1.07/1.45 ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), W ),
% 1.07/1.45 hAPP( 'c_Set_Oimage'( X, Z, T ), hAPP( 'c_Set_Oimage'( Y, U, Z ), W ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( Y, X
% 1.07/1.45 , Z, 'tc_bool' ), T ) ), X ), ~( hBOOL( hAPP( U, T ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X ), hAPP(
% 1.07/1.45 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.07/1.45 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), U ) ) ), Y ) ) ), X ) )
% 1.07/1.45 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Z ), U ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.07/1.45 ) ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.07/1.45 ) ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.07/1.45 ) ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.07/1.45 ) ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), Y ), T ) ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), T ), Y ) ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.07/1.45 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 'c_Finite__Set_Ofold1'(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), X ), Z ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.07/1.45 , 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ), Y ) ), =( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.07/1.45 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.07/1.45 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.07/1.45 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.07/1.45 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.07/1.45 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 1.07/1.45 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.07/1.45 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 1.07/1.45 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.07/1.45 V0, V1, Z, Y, V2 ) ) ],
% 1.07/1.45 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.07/1.45 V0, V1, Y, Z, V2 ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.07/1.45 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 1.07/1.45 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.07/1.45 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 1.07/1.45 V2, V3, V4 ) ) ],
% 1.07/1.45 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.07/1.45 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 1.07/1.45 V2, V3, V4 ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'(
% 1.07/1.45 X ), 'tc_Com_Ocom' ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y )
% 1.07/1.45 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'(
% 1.07/1.45 'c_Com_Obody'( X ), 'tc_Com_Ocom' ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 1.07/1.45 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ), Y ), T ) ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 X ), Y ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.07/1.45 Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 1.07/1.45 Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.07/1.45 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( Z, 'tc_fun'( W, 'tc_bool' ), Y ), U ), X ), Y, 'tc_fun'( W,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.07/1.45 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.07/1.45 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.07/1.45 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.07/1.45 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 , U ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), T ), W ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 1.07/1.45 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.07/1.45 , 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Y ) ), =( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 1.07/1.45 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 1.07/1.45 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 1.07/1.45 , V4 ), W ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'(
% 1.07/1.45 'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.07/1.45 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 1.07/1.45 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 1.07/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ), Z ), T ) ), T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 1.07/1.45 , 'tc_bool' ) ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.07/1.45 ), U ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.07/1.45 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), U ) )
% 1.07/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 1.07/1.45 , U ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.07/1.45 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 1.07/1.45 , hAPP( 'c_Set_Oimage'( U, X, T ), Y ) ), hAPP( 'c_Set_Oimage'( U, X, T )
% 1.07/1.45 , Z ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.07/1.45 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Natural_Oevaln'( X, Y, Z, T ), 'c_Natural_Oevaln'( U, Y, Z, T ),
% 1.07/1.45 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( W, U, X ), Y, Z, T ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 Z, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ), U ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ) ), T ), U, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 1.07/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.07/1.45 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.07/1.45 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.07/1.45 Z ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~(
% 1.07/1.45 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~(
% 1.07/1.45 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.07/1.45 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.07/1.45 'tc_bool' ), Y ) ) ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( Z, Y ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Ocontents'( 'v_X', 't_a' ), 'c_The'( hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), hAPP( 'c_fequal'(
% 1.07/1.45 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_X' ) ), hAPP( 'c_COMBC'(
% 1.07/1.45 'c_Set_Oinsert'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.07/1.45 't_a', 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 1.07/1.45 'tc_bool' ) ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( 'c_Collect'( X ), Z )
% 1.07/1.45 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.07/1.45 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), X ), 'c_implies' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.07/1.45 'tc_bool', X ), 'c_Not' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.07/1.45 'tc_bool' ), Y ) ) ) ), Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OLeastM'( Y, Z, T, X
% 1.07/1.45 ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.07/1.45 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.07/1.45 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( 'c_COMBC'(
% 1.07/1.45 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, X
% 1.07/1.45 ), 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_COMBB'( X, 'tc_bool', T ) ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ), 'c_lessequals'( X ) )
% 1.07/1.45 , Y ) ), T, 'tc_fun'( T, X ), 'tc_fun'( T, 'tc_bool' ) ), Y ) ) ) ), T )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.07/1.45 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.07/1.45 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.07/1.45 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 1.07/1.45 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 1.07/1.45 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 1.07/1.45 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 1.07/1.45 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.07/1.45 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.07/1.45 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.07/1.45 ), X ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y )
% 1.07/1.45 ), 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'(
% 1.07/1.45 'c_Com_Obody'( T ), 'tc_Com_Ocom' ), U, Y ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.07/1.45 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'( 'c_Com_Obody'(
% 1.07/1.45 T ), 'tc_Com_Ocom' ), U, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ),
% 1.07/1.45 V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.07/1.45 , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 1.07/1.45 , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.07/1.45 , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.07/1.45 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 1.07/1.45 'c_List_Ofoldl'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0
% 1.07/1.45 ), 'tc_fun'( 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W,
% 1.07/1.45 V0, U ) ), X ), V0, 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), Z ), Y, T, V0
% 1.07/1.45 , U ) ) ],
% 1.07/1.45 [ 'c_Lattices_Oboolean__algebra'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ),
% 1.07/1.45 'c_COMBB'( X, X, X ) ), Y ), X, 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), Z )
% 1.07/1.45 , Z, 'c_COMBC'( T, X, X, 'tc_bool' ), 'c_COMBC'( U, X, X, 'tc_bool' ), Y
% 1.07/1.45 , W, V0, V1, X ), ~( 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y,
% 1.07/1.45 V1, V0, X ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( hAPP( 'c_COMBC'( 'c_Set_Oinsert'( X ), X, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.07/1.45 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.07/1.45 Z, Y ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( 'c_COMBC'(
% 1.07/1.45 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.07/1.45 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.07/1.45 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.07/1.45 Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ),
% 1.07/1.45 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, X ), 'tc_fun'( Y, 'tc_bool' ) ), X )
% 1.07/1.45 , 'c_COMBB'( X, 'tc_bool', Y ) ), 'c_fequal'( X ) ), X, 'tc_fun'( Y, X )
% 1.07/1.45 , 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ), X, 'tc_fun'( Y, 'tc_bool' ),
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 hAPP( 'c_Collect'( Y ), T ), Y ) ) ],
% 1.07/1.45 [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_fequal'( X ), Y ) ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.07/1.45 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.07/1.45 , Y ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.07/1.45 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 1.07/1.45 ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.07/1.45 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.07/1.45 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ), T ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.07/1.45 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ),
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 1.07/1.45 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 1.07/1.45 , Z ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.07/1.45 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.07/1.45 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.07/1.45 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.07/1.45 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.07/1.45 , Y ) ],
% 1.07/1.45 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.07/1.45 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.07/1.45 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, hAPP( 'c_COMBC'(
% 1.07/1.45 hAPP( hAPP( 'c_COMBB'( Z, 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z ) ), X ), Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Ocontents'( X, Y ), 'c_The'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.07/1.45 Y, 'tc_bool' ), 'tc_bool', Y ), hAPP( 'c_fequal'( 'tc_fun'( Y, 'tc_bool'
% 1.07/1.45 ) ), X ) ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ) ) ), Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.07/1.45 't_b' ) ), =( 'c_Orderings_Oorder__class_Omono'( 'v_f', 't_a', 't_b' ),
% 1.07/1.45 hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.07/1.45 ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a'
% 1.07/1.45 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.07/1.45 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.07/1.45 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), 'c_lessequals'( 't_a' )
% 1.07/1.45 ) ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b',
% 1.07/1.45 'tc_bool' ), 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a',
% 1.07/1.45 'tc_bool' ) ), 't_a' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ),
% 1.07/1.45 'c_lessequals'( 't_b' ) ), 'v_f' ) ), 't_a', 'tc_fun'( 't_a', 't_b' ),
% 1.07/1.45 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_f' ) ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.07/1.45 't_b' ) ), =( 'c_Orderings_Oorder__class_Ostrict__mono'( 'v_f', 't_a',
% 1.07/1.45 't_b' ), hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.07/1.45 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.07/1.45 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.07/1.45 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.07/1.45 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.07/1.45 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.07/1.45 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.07/1.45 'c_implies' ) ), 'c_HOL_Oord__class_Oless'( 't_a' ) ) ) ), hAPP(
% 1.07/1.45 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.07/1.45 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.07/1.45 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 't_b',
% 1.07/1.45 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_HOL_Oord__class_Oless'( 't_b' )
% 1.07/1.45 ), 'v_f' ) ), 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a',
% 1.07/1.45 'tc_bool' ) ), 'v_f' ) ) ) ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 1.07/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 1.07/1.45 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 1.07/1.45 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 1.07/1.45 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 1.07/1.45 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.07/1.45 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.07/1.45 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 1.07/1.45 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 1.07/1.45 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.07/1.45 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.07/1.45 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP(
% 1.07/1.45 hAPP( 'c_COMBB'( 'tc_fun'( U, X ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X
% 1.07/1.45 ), Y ), 'c_Finite__Set_Osetsum'( U, X ) ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X )
% 1.07/1.45 ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.07/1.45 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), Y, 'tc_fun'( U, X )
% 1.07/1.45 , 'tc_fun'( U, X ) ), W ) ), Y, 'tc_fun'( U, 'tc_bool' ), X ), V0 ) ), T
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.07/1.45 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), X ), Y ),
% 1.07/1.45 'c_Finite__Set_Osetsum'( Z, X ) ), T ), Y, 'tc_fun'( Z, 'tc_bool' ), X )
% 1.07/1.45 , U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP(
% 1.07/1.45 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y
% 1.07/1.45 , 'tc_bool' ), X ), Z ), 'c_Finite__Set_Osetsum'( Y, X ) ), 'c_COMBC'( T
% 1.07/1.45 , Y, Z, X ) ), Z, 'tc_fun'( Y, 'tc_bool' ), X ), W ) ), U ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.07/1.45 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.07/1.45 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.07/1.45 ) ), Y, 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.07/1.45 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.07/1.45 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.07/1.45 'tc_Com_Ostate', 'tc_bool' ) ), Y ), 'c_COMBS'( 'tc_Com_Ostate',
% 1.07/1.45 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.07/1.45 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ) ), Y ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.07/1.45 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ), 'c_and' ) ), Z ) ), Y,
% 1.07/1.45 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.07/1.45 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.07/1.45 'tc_Com_Ostate' ), 'c_Not' ), T ) ), 'c_Com_Ocom_OWhile'( T, U ), Z, Y )
% 1.07/1.45 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 Y ), 'tc_bool' ) ) ), Y ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 1.07/1.45 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.07/1.45 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Y ), Z ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.07/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.07/1.45 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 1.07/1.45 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ), Y ) ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.07/1.45 hAPP( U, W ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.07/1.45 U ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.07/1.45 T, W ), hAPP( U, W ) ) ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.07/1.45 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.07/1.45 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_Hoare__Mirabelle_OMGT'( 'v_c' ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ),
% 1.07/1.45 'v_c', 'c_Natural_Oevalc'( 'v_c' ), 'tc_Com_Ostate' ) ) ],
% 1.07/1.45 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.07/1.45 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.46 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.07/1.46 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.46 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ) ) ],
% 1.07/1.46 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.07/1.46 hBOOL( hAPP( Z, T ) ) ) ],
% 1.07/1.46 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.07/1.46 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.07/1.46 'c_Hoare__Mirabelle_Otriple_Otriple'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool' ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.07/1.46 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 'tc_Com_Ostate' ),
% 1.07/1.46 'c_All'( 'tc_Com_Ostate' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ), 'c_COMBC'( hAPP( hAPP(
% 1.07/1.46 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.07/1.46 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ), 'c_COMBS'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.46 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.07/1.46 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.07/1.46 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.07/1.46 'c_implies' ) ), 'c_Natural_Oevalc'( Y ) ) ), 'tc_Com_Ostate', 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ) )
% 1.07/1.46 , 'c_fequal'( 'tc_Com_Ostate' ) ) ), Y, 'c_fequal'( 'tc_Com_Ostate' ),
% 1.07/1.46 'tc_Com_Ostate' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.46 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ),
% 1.07/1.46 'tc_Com_Ostate' ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.07/1.46 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.07/1.46 'c_Hoare__Mirabelle_OMGT'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.46 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.07/1.46 ), 'tc_Com_Ostate' ) ) ],
% 1.07/1.46 [ =( 'c_Hoare__Mirabelle_OMGT'( X ),
% 1.07/1.46 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), X,
% 1.07/1.46 'c_Natural_Oevalc'( X ), 'tc_Com_Ostate' ) ) ],
% 1.07/1.46 [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 1.07/1.46 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 1.07/1.46 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.07/1.46 'c_Hoare__Mirabelle_Otriple_Otriple'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool' ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.07/1.46 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 'tc_Com_Ostate' ),
% 1.07/1.46 'c_All'( 'tc_Com_Ostate' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ), 'c_COMBC'( hAPP( hAPP(
% 1.07/1.46 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.07/1.46 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ), 'c_COMBS'(
% 1.07/1.46 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.07/1.46 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.07/1.46 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.07/1.46 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.07/1.46 'c_implies' ) ), 'c_Natural_Oevalc'( 'v_c' ) ) ), 'tc_Com_Ostate',
% 1.07/1.46 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.07/1.46 'tc_bool' ) ) ), 'c_fequal'( 'tc_Com_Ostate' ) ) ), 'v_c', 'c_fequal'(
% 1.07/1.46 'tc_Com_Ostate' ), 'tc_Com_Ostate' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.46 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.07/1.46 ), 'tc_Com_Ostate' ) ],
% 1.07/1.46 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 1.07/1.46 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.07/1.46 'c_Hoare__Mirabelle_OMGT'( 'v_c' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.46 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.07/1.46 ), 'tc_Com_Ostate' ) ) ],
% 1.07/1.46 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.46 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.07/1.46 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.46 'class_Lattices_Olattice'( Y ) ) ],
% 1.07/1.46 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.46 'class_Lattices_Olattice'( Y ) ) ],
% 1.07/1.46 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.46 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.07/1.46 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.46 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.07/1.46 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.46 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.07/1.46 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.07/1.46 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.46 'class_Orderings_Opreorder'( Y ) ) ],
% 1.07/1.46 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.46 'class_Lattices_Olattice'( Y ) ) ],
% 1.07/1.46 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.46 'class_Orderings_Oorder'( Y ) ) ],
% 1.07/1.46 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.07/1.46 Y ) ) ],
% 1.07/1.46 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.07/1.46 Y ) ) ],
% 1.07/1.46 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.07/1.46 ,
% 1.07/1.46 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.07/1.46 ,
% 1.07/1.46 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.07/1.46 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.07/1.46 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.07/1.46 T, W ), hAPP( U, W ) ) ) ],
% 1.07/1.46 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.07/1.46 U ) ) ],
% 1.07/1.46 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.07/1.46 hAPP( U, W ) ) ) ],
% 1.07/1.46 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.07/1.46 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.07/1.46 ] .
% 1.07/1.46
% 1.07/1.46
% 1.07/1.46 percentage equality = 0.290237, percentage horn = 0.884848
% 1.07/1.46 This is a problem with some equality
% 1.07/1.46
% 1.07/1.46
% 1.07/1.46
% 1.07/1.46 Options Used:
% 1.07/1.46
% 1.07/1.46 useres = 1
% 1.07/1.46 useparamod = 1
% 1.07/1.46 useeqrefl = 1
% 1.07/1.46 useeqfact = 1
% 1.07/1.46 usefactor = 1
% 1.07/1.46 usesimpsplitting = 0
% 1.07/1.46 usesimpdemod = 5
% 1.07/1.46 usesimpres = 3
% 1.07/1.46
% 1.07/1.46 resimpinuse = 1000
% 1.07/1.46 resimpclauses = 20000
% 1.07/1.46 substype = eqrewr
% 1.07/1.46 backwardsubs = 1
% 1.07/1.46 selectoldest = 5
% 1.07/1.46
% 1.07/1.46 litorderings [0] = split
% 1.07/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 1.07/1.46
% 1.07/1.46 termordering = kbo
% 1.07/1.46
% 1.07/1.46 litapriori = 0
% 1.07/1.46 termapriori = 1
% 1.07/1.46 litaposteriori = 0
% 1.07/1.46 termaposteriori = 0
% 1.07/1.46 demodaposteriori = 0
% 1.07/1.46 ordereqreflfact = 0
% 1.07/1.46
% 1.07/1.46 litselect = negord
% 1.07/1.46
% 1.07/1.46 maxweight = 15
% 1.07/1.46 maxdepth = 30000
% 1.07/1.46 maxlength = 115
% 1.07/1.46 maxnrvars = 195
% 1.07/1.46 excuselevel = 1
% 1.07/1.46 increasemaxweight = 1
% 1.07/1.46
% 1.07/1.46 maxselected = 10000000
% 1.07/1.46 maxnrclauses = 10000000
% 1.07/1.46
% 1.07/1.46 showgenerated = 0
% 1.07/1.46 showkept = 0
% 1.07/1.46 showselected = 0
% 1.07/1.46 showdeleted = 0
% 1.07/1.46 showresimp = 1
% 1.07/1.46 showstatus = 2000
% 1.07/1.46
% 1.07/1.46 prologoutput = 1
% 1.07/1.46 nrgoals = 5000000
% 1.07/1.46 totalproof = 1
% 1.07/1.46
% 1.07/1.46 Symbols occurring in the translation:
% 1.07/1.46
% 1.07/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.07/1.46 . [1, 2] (w:1, o:191, a:1, s:1, b:0),
% 1.07/1.46 ! [4, 1] (w:0, o:119, a:1, s:1, b:0),
% 1.07/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.07/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.07/1.46 'class_Complete__Lattice_Ocomplete__lattice' [40, 1] (w:1, o:124, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'c_Finite__Set_Olattice__class_OInf__fin' [41, 1] (w:1, o:126, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 hAPP [43, 2] (w:1, o:216, a:1, s:1, b:0),
% 1.07/1.46 'c_Complete__Lattice_OInf__class_OInf' [44, 1] (w:1, o:128, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'tc_bool' [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.07/1.46 'tc_fun' [46, 2] (w:1, o:217, a:1, s:1, b:0),
% 1.07/1.46 'c_Orderings_Obot__class_Obot' [47, 1] (w:1, o:130, a:1, s:1, b:0),
% 1.07/1.46 'c_Finite__Set_Ofinite' [48, 2] (w:1, o:218, a:1, s:1, b:0),
% 1.07/1.46 'c_Finite__Set_Olattice__class_OSup__fin' [49, 1] (w:1, o:131, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'c_Complete__Lattice_OSup__class_OSup' [50, 1] (w:1, o:132, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'class_OrderedGroup_Ocomm__monoid__add' [51, 1] (w:1, o:133, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'c_Finite__Set_Osetsum' [53, 2] (w:1, o:219, a:1, s:1, b:0),
% 1.07/1.46 'c_COMBS' [54, 3] (w:1, o:234, a:1, s:1, b:0),
% 1.07/1.46 'c_COMBB' [55, 3] (w:1, o:235, a:1, s:1, b:0),
% 1.07/1.46 'c_HOL_Oplus__class_Oplus' [56, 1] (w:1, o:135, a:1, s:1, b:0),
% 1.07/1.46 'class_Lattices_Olattice' [59, 1] (w:1, o:136, a:1, s:1, b:0),
% 1.07/1.46 'c_Lattices_Oupper__semilattice__class_Osup' [60, 1] (w:1, o:137, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'c_in' [62, 1] (w:1, o:138, a:1, s:1, b:0),
% 1.07/1.46 hBOOL [63, 1] (w:1, o:139, a:1, s:1, b:0),
% 1.07/1.46 'class_Ring__and__Field_Opordered__ring' [64, 1] (w:1, o:142, a:1, s:
% 1.07/1.46 1, b:0),
% 1.07/1.46 'c_HOL_Oord__class_Oless' [65, 1] (w:1, o:134, a:1, s:1, b:0),
% 1.07/1.46 'c_HOL_Otimes__class_Otimes' [66, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.07/1.46 'c_HOL_Ominus__class_Ominus' [71, 1] (w:1, o:144, a:1, s:1, b:0),
% 1.07/1.46 'c_lessequals' [72, 1] (w:1, o:145, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Ogroup__add' [73, 1] (w:1, o:146, a:1, s:1, b:0)
% 1.07/1.46 ,
% 1.07/1.46 'class_Ring__and__Field_Ocomm__semiring__1' [74, 1] (w:1, o:147, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Ocancel__semigroup__add' [76, 1] (w:1, o:148, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Ocancel__ab__semigroup__add' [77, 1] (w:1, o:149
% 1.07/1.46 , a:1, s:1, b:0),
% 1.07/1.46 'class_Ring__and__Field_Oidom' [78, 1] (w:1, o:150, a:1, s:1, b:0),
% 1.07/1.46 'class_Int_Onumber__ring' [79, 1] (w:1, o:153, a:1, s:1, b:0),
% 1.07/1.46 'class_Ring__and__Field_Osemiring' [83, 1] (w:1, o:155, a:1, s:1, b:0
% 1.07/1.46 ),
% 1.07/1.46 'c_Lattices_Olower__semilattice__class_Oinf' [84, 1] (w:1, o:156, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Olordered__ab__group__add' [85, 1] (w:1, o:157
% 1.07/1.46 , a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Olordered__ab__group__add__meet' [86, 1] (w:1, o:
% 1.07/1.46 158, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Oab__group__add' [87, 1] (w:1, o:159, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'class_OrderedGroup_Oab__semigroup__add' [89, 1] (w:1, o:160, a:1, s:
% 1.07/1.46 1, b:0),
% 1.07/1.46 'class_OrderedGroup_Olordered__ab__group__add__join' [90, 1] (w:1, o:
% 1.07/1.46 161, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Opordered__ab__semigroup__add' [91, 1] (w:1, o:
% 1.07/1.46 163, a:1, s:1, b:0),
% 1.07/1.46 'c_Finite__Set_Ofold1' [92, 2] (w:1, o:220, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Osemigroup__add' [93, 1] (w:1, o:164, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'c_List_Ofoldl' [95, 5] (w:1, o:263, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [97, 1]
% 1.07/1.46 (w:1, o:165, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [98, 1]
% 1.07/1.46 (w:1, o:166, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Opordered__ab__group__add' [99, 1] (w:1, o:167
% 1.07/1.46 , a:1, s:1, b:0),
% 1.07/1.46 'class_Ring__and__Field_Ocomm__semiring' [100, 1] (w:1, o:168, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'class_Ring__and__Field_Oring' [101, 1] (w:1, o:154, a:1, s:1, b:0),
% 1.07/1.46
% 1.07/1.46 'c_Set_Oinsert' [102, 1] (w:1, o:169, a:1, s:1, b:0),
% 1.07/1.46 't_b' [104, 0] (w:1, o:66, a:1, s:1, b:0),
% 1.07/1.46 'v_A' [105, 0] (w:1, o:67, a:1, s:1, b:0),
% 1.07/1.46 'v_f' [106, 0] (w:1, o:68, a:1, s:1, b:0),
% 1.07/1.46 't_a' [107, 0] (w:1, o:65, a:1, s:1, b:0),
% 1.07/1.46 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [108, 4] (w:1
% 1.07/1.46 , o:244, a:1, s:1, b:0),
% 1.07/1.46 'c_Set_Oimage' [109, 3] (w:1, o:236, a:1, s:1, b:0),
% 1.07/1.46 'c_Collect' [111, 1] (w:1, o:127, a:1, s:1, b:0),
% 1.07/1.46 'c_or' [112, 0] (w:1, o:70, a:1, s:1, b:0),
% 1.07/1.46 'c_fequal' [113, 1] (w:1, o:170, a:1, s:1, b:0),
% 1.07/1.46 'c_COMBC' [114, 4] (w:1, o:245, a:1, s:1, b:0),
% 1.07/1.46 'class_Lattices_Odistrib__lattice' [115, 1] (w:1, o:171, a:1, s:1, b:
% 2.77/3.15 0),
% 2.77/3.15 'c_Ex' [116, 1] (w:1, o:125, a:1, s:1, b:0),
% 2.77/3.15 'c_and' [117, 0] (w:1, o:71, a:1, s:1, b:0),
% 2.77/3.15 'c_Orderings_Otop__class_Otop' [118, 1] (w:1, o:172, a:1, s:1, b:0),
% 2.77/3.15
% 2.77/3.15 'v_x' [120, 0] (w:1, o:73, a:1, s:1, b:0),
% 2.77/3.15 'class_Lattices_Olower__semilattice' [121, 1] (w:1, o:173, a:1, s:1
% 2.77/3.15 , b:0),
% 2.77/3.15 'c_Orderings_Oorder__class_Omono' [123, 3] (w:1, o:237, a:1, s:1, b:0
% 2.77/3.15 ),
% 2.77/3.15 'class_Lattices_Obounded__lattice' [126, 1] (w:1, o:174, a:1, s:1, b:
% 2.77/3.15 0),
% 2.77/3.15 'c_Not' [127, 0] (w:1, o:79, a:1, s:1, b:0),
% 2.77/3.15 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1' [
% 2.77/3.15 130, 4] (w:1, o:246, a:1, s:1, b:0),
% 2.77/3.15 'class_OrderedGroup_Oordered__ab__semigroup__add' [131, 1] (w:1, o:
% 2.77/3.15 162, a:1, s:1, b:0),
% 2.77/3.15 'c_Finite__Set_Olinorder__class_OMax' [134, 2] (w:1, o:221, a:1, s:1
% 2.77/3.15 , b:0),
% 2.77/3.15 'c_Finite__Set_Olinorder__class_OMin' [135, 2] (w:1, o:222, a:1, s:1
% 2.77/3.15 , b:0),
% 2.77/3.15 'c_Fun_Oinj__on' [137, 4] (w:1, o:247, a:1, s:1, b:0),
% 2.77/3.15 'c_Fun_Ocomp' [138, 5] (w:1, o:264, a:1, s:1, b:0),
% 2.77/3.15 'c_Com_Ocom_OBODY' [140, 1] (w:1, o:176, a:1, s:1, b:0),
% 2.77/3.15 'c_Com_Ocom_OSemi' [143, 2] (w:1, o:223, a:1, s:1, b:0),
% 2.77/3.15 'c_Com_Ocom_OWhile' [144, 2] (w:1, o:224, a:1, s:1, b:0),
% 2.77/3.15 'c_Natural_Oevaln' [147, 4] (w:1, o:248, a:1, s:1, b:0),
% 2.77/3.15 'c_Finite__Set_Ofold1Set' [148, 3] (w:1, o:238, a:1, s:1, b:0),
% 2.77/3.15 'c_The' [149, 2] (w:1, o:226, a:1, s:1, b:0),
% 2.77/3.15 'class_Orderings_Oorder' [152, 1] (w:1, o:177, a:1, s:1, b:0),
% 2.77/3.15 'c_Orderings_Oorder__class_Ostrict__mono' [153, 3] (w:1, o:239, a:1
% 2.77/3.15 , s:1, b:0),
% 2.77/3.15 'c_Complete__Lattice_Ocomplete__lattice' [162, 9] (w:1, o:267, a:1
% 2.77/3.15 , s:1, b:0),
% 2.77/3.15 'c_Com_Ocom_OSKIP' [165, 0] (w:1, o:95, a:1, s:1, b:0),
% 2.77/3.15 'c_Com_Ocom_OCond' [170, 3] (w:1, o:240, a:1, s:1, b:0),
% 2.77/3.15 'class_Orderings_Olinorder' [171, 1] (w:1, o:178, a:1, s:1, b:0),
% 2.77/3.15 'c_All' [172, 1] (w:1, o:179, a:1, s:1, b:0),
% 2.77/3.15 'c_implies' [173, 0] (w:1, o:96, a:1, s:1, b:0),
% 2.77/3.15 'class_HOL_Oord' [175, 1] (w:1, o:151, a:1, s:1, b:0),
% 2.77/3.15 'c_Hilbert__Choice_OGreatestM' [176, 4] (w:1, o:249, a:1, s:1, b:0),
% 2.77/3.15
% 2.77/3.15 'c_Hilbert__Choice_OEps' [177, 2] (w:1, o:227, a:1, s:1, b:0),
% 2.77/3.15 'class_Lattices_Oupper__semilattice' [178, 1] (w:1, o:180, a:1, s:1
% 2.77/3.15 , b:0),
% 2.77/3.15 'class_Orderings_Opreorder' [179, 1] (w:1, o:181, a:1, s:1, b:0),
% 2.77/3.15 'c_Lattices_Oboolean__algebra' [182, 9] (w:1, o:268, a:1, s:1, b:0),
% 2.77/3.15
% 2.77/3.15 'class_Ring__and__Field_Osemiring__0' [192, 1] (w:1, o:182, a:1, s:1
% 2.77/3.15 , b:0),
% 2.77/3.15 'c_List_Omap' [194, 4] (w:1, o:250, a:1, s:1, b:0),
% 2.77/3.15 'class_HOL_Ominus' [196, 1] (w:1, o:152, a:1, s:1, b:0),
% 2.77/3.15 'class_Ring__and__Field_Oordered__ring__strict' [198, 1] (w:1, o:140
% 2.77/3.15 , a:1, s:1, b:0),
% 2.77/3.15 'c_SetInterval_Oord__class_OatLeastAtMost' [201, 3] (w:1, o:241, a:1
% 2.77/3.15 , s:1, b:0),
% 2.77/3.15 'class_OrderedGroup_Oab__semigroup__mult' [209, 1] (w:1, o:183, a:1
% 2.77/3.15 , s:1, b:0),
% 2.77/3.15 'class_Orderings_Otop' [210, 1] (w:1, o:184, a:1, s:1, b:0),
% 2.77/3.15 'class_Ring__and__Field_Oordered__idom' [211, 1] (w:1, o:141, a:1, s:
% 2.77/3.15 1, b:0),
% 2.77/3.15 'class_OrderedGroup_Oab__semigroup__idem__mult' [213, 1] (w:1, o:185
% 2.77/3.15 , a:1, s:1, b:0),
% 2.77/3.15 'class_Finite__Set_Ofinite_Ofinite' [215, 1] (w:1, o:186, a:1, s:1
% 2.77/3.15 , b:0),
% 2.77/3.15 'class_Orderings_Obot' [217, 1] (w:1, o:187, a:1, s:1, b:0),
% 2.77/3.15 'c_Natural_Oevalc' [218, 1] (w:1, o:129, a:1, s:1, b:0),
% 2.77/3.15 'c_Com_Obody' [219, 1] (w:1, o:175, a:1, s:1, b:0),
% 2.77/3.15 'tc_Com_Ocom' [220, 0] (w:1, o:105, a:1, s:1, b:0),
% 2.77/3.15 'c_Option_Othe' [221, 2] (w:1, o:229, a:1, s:1, b:0),
% 2.77/3.15 'v_X' [226, 0] (w:1, o:108, a:1, s:1, b:0),
% 2.77/3.15 'c_Set_Ocontents' [227, 2] (w:1, o:225, a:1, s:1, b:0),
% 2.77/3.15 'c_Hilbert__Choice_OLeastM' [228, 4] (w:1, o:251, a:1, s:1, b:0),
% 2.77/3.15 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [229, 4] (w:1, o:252
% 2.77/3.15 , a:1, s:1, b:0),
% 2.77/3.15 'tc_Hoare__Mirabelle_Otriple' [230, 1] (w:1, o:188, a:1, s:1, b:0),
% 2.77/3.15 'tc_Com_Ostate' [231, 0] (w:1, o:109, a:1, s:1, b:0),
% 2.77/3.15 'c_Hoare__Mirabelle_Opeek__and' [232, 3] (w:1, o:242, a:1, s:1, b:0)
% 11.08/11.46 ,
% 11.08/11.46 'c_Hoare__Mirabelle_Otriple_Otriple' [233, 4] (w:1, o:253, a:1, s:1
% 11.08/11.46 , b:0),
% 11.08/11.46 'c_Hoare__Mirabelle_Ohoare__derivs' [234, 3] (w:1, o:243, a:1, s:1
% 11.08/11.46 , b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1' [235, 1] (w:1, o:189
% 11.08/11.46 , a:1, s:1, b:0),
% 11.08/11.46 'c_Hoare__Mirabelle_Ostate__not__singleton' [236, 0] (w:1, o:110, a:1
% 11.08/11.46 , s:1, b:0),
% 11.08/11.46 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [237, 2] (w:1, o:228, a:1
% 11.08/11.46 , s:1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [240, 6] (w:1
% 11.08/11.46 , o:265, a:1, s:1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [241, 4] (w:1
% 11.08/11.46 , o:255, a:1, s:1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xconseq12__3' [244, 4] (w:1, o:258, a:1, s:
% 11.08/11.46 1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xconseq12__2' [245, 4] (w:1, o:257, a:1, s:
% 11.08/11.46 1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [246, 6] (w:
% 11.08/11.46 1, o:266, a:1, s:1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [247, 4] (w:
% 11.08/11.46 1, o:260, a:1, s:1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [248, 4] (w:
% 11.08/11.46 1, o:259, a:1, s:1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [249, 4] (w:1
% 11.08/11.46 , o:254, a:1, s:1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xconseq2__1' [250, 2] (w:1, o:232, a:1, s:1
% 11.08/11.46 , b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xconseq2__2' [251, 2] (w:1, o:233, a:1, s:1
% 11.08/11.46 , b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xconseq12__1' [252, 4] (w:1, o:256, a:1, s:
% 11.08/11.46 1, b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xconseq1__1' [253, 2] (w:1, o:230, a:1, s:1
% 11.08/11.46 , b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xconseq1__2' [254, 2] (w:1, o:231, a:1, s:1
% 11.08/11.46 , b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xescape__1' [255, 4] (w:1, o:261, a:1, s:1
% 11.08/11.46 , b:0),
% 11.08/11.46 'v_sko__Hoare__Mirabelle__Xescape__2' [256, 4] (w:1, o:262, a:1, s:1
% 11.08/11.46 , b:0),
% 11.08/11.46 'v_c' [263, 0] (w:1, o:115, a:1, s:1, b:0),
% 11.08/11.46 'c_Hoare__Mirabelle_OMGT' [264, 1] (w:1, o:190, a:1, s:1, b:0),
% 11.08/11.46 'v_G' [265, 0] (w:1, o:116, a:1, s:1, b:0).
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Starting Search:
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 5569
% 11.08/11.46 Kept: 2167
% 11.08/11.46 Inuse: 88
% 11.08/11.46 Deleted: 3
% 11.08/11.46 Deletedinuse: 0
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 10694
% 11.08/11.46 Kept: 4209
% 11.08/11.46 Inuse: 128
% 11.08/11.46 Deleted: 3
% 11.08/11.46 Deletedinuse: 0
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 18648
% 11.08/11.46 Kept: 6281
% 11.08/11.46 Inuse: 197
% 11.08/11.46 Deleted: 4
% 11.08/11.46 Deletedinuse: 0
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 33899
% 11.08/11.46 Kept: 8715
% 11.08/11.46 Inuse: 227
% 11.08/11.46 Deleted: 4
% 11.08/11.46 Deletedinuse: 0
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 41131
% 11.08/11.46 Kept: 10840
% 11.08/11.46 Inuse: 277
% 11.08/11.46 Deleted: 4
% 11.08/11.46 Deletedinuse: 0
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 48705
% 11.08/11.46 Kept: 13046
% 11.08/11.46 Inuse: 317
% 11.08/11.46 Deleted: 4
% 11.08/11.46 Deletedinuse: 0
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 57163
% 11.08/11.46 Kept: 15219
% 11.08/11.46 Inuse: 342
% 11.08/11.46 Deleted: 4
% 11.08/11.46 Deletedinuse: 0
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 68933
% 11.08/11.46 Kept: 17753
% 11.08/11.46 Inuse: 378
% 11.08/11.46 Deleted: 9
% 11.08/11.46 Deletedinuse: 1
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 77403
% 11.08/11.46 Kept: 19760
% 11.08/11.46 Inuse: 429
% 11.08/11.46 Deleted: 14
% 11.08/11.46 Deletedinuse: 1
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying clauses:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 89879
% 11.08/11.46 Kept: 22042
% 11.08/11.46 Inuse: 471
% 11.08/11.46 Deleted: 221
% 11.08/11.46 Deletedinuse: 1
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 98108
% 11.08/11.46 Kept: 24547
% 11.08/11.46 Inuse: 499
% 11.08/11.46 Deleted: 221
% 11.08/11.46 Deletedinuse: 1
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 108069
% 11.08/11.46 Kept: 26670
% 11.08/11.46 Inuse: 538
% 11.08/11.46 Deleted: 221
% 11.08/11.46 Deletedinuse: 1
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46 Resimplifying inuse:
% 11.08/11.46 Done
% 11.08/11.46
% 11.08/11.46
% 11.08/11.46 Intermediate Status:
% 11.08/11.46 Generated: 126233
% 41.34/41.75 Kept: 30139
% 41.34/41.75 Inuse: 594
% 41.34/41.75 Deleted: 221
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 138388
% 41.34/41.75 Kept: 32990
% 41.34/41.75 Inuse: 617
% 41.34/41.75 Deleted: 221
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 152067
% 41.34/41.75 Kept: 36143
% 41.34/41.75 Inuse: 646
% 41.34/41.75 Deleted: 221
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 161314
% 41.34/41.75 Kept: 39529
% 41.34/41.75 Inuse: 653
% 41.34/41.75 Deleted: 221
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying clauses:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 173225
% 41.34/41.75 Kept: 42115
% 41.34/41.75 Inuse: 670
% 41.34/41.75 Deleted: 424
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 187546
% 41.34/41.75 Kept: 44786
% 41.34/41.75 Inuse: 706
% 41.34/41.75 Deleted: 424
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 194212
% 41.34/41.75 Kept: 47025
% 41.34/41.75 Inuse: 723
% 41.34/41.75 Deleted: 424
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 205965
% 41.34/41.75 Kept: 49260
% 41.34/41.75 Inuse: 743
% 41.34/41.75 Deleted: 424
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 222210
% 41.34/41.75 Kept: 51738
% 41.34/41.75 Inuse: 773
% 41.34/41.75 Deleted: 424
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 233032
% 41.34/41.75 Kept: 53949
% 41.34/41.75 Inuse: 813
% 41.34/41.75 Deleted: 424
% 41.34/41.75 Deletedinuse: 1
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 254608
% 41.34/41.75 Kept: 58280
% 41.34/41.75 Inuse: 848
% 41.34/41.75 Deleted: 426
% 41.34/41.75 Deletedinuse: 3
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying clauses:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 264742
% 41.34/41.75 Kept: 60623
% 41.34/41.75 Inuse: 863
% 41.34/41.75 Deleted: 664
% 41.34/41.75 Deletedinuse: 3
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 280282
% 41.34/41.75 Kept: 62634
% 41.34/41.75 Inuse: 884
% 41.34/41.75 Deleted: 665
% 41.34/41.75 Deletedinuse: 4
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 298825
% 41.34/41.75 Kept: 64935
% 41.34/41.75 Inuse: 898
% 41.34/41.75 Deleted: 666
% 41.34/41.75 Deletedinuse: 5
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 306708
% 41.34/41.75 Kept: 66959
% 41.34/41.75 Inuse: 913
% 41.34/41.75 Deleted: 666
% 41.34/41.75 Deletedinuse: 5
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 315261
% 41.34/41.75 Kept: 69128
% 41.34/41.75 Inuse: 933
% 41.34/41.75 Deleted: 666
% 41.34/41.75 Deletedinuse: 5
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 326468
% 41.34/41.75 Kept: 71174
% 41.34/41.75 Inuse: 963
% 41.34/41.75 Deleted: 666
% 41.34/41.75 Deletedinuse: 5
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 336987
% 41.34/41.75 Kept: 73281
% 41.34/41.75 Inuse: 988
% 41.34/41.75 Deleted: 669
% 41.34/41.75 Deletedinuse: 8
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 345320
% 41.34/41.75 Kept: 75366
% 41.34/41.75 Inuse: 1008
% 41.34/41.75 Deleted: 672
% 41.34/41.75 Deletedinuse: 11
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 362927
% 41.34/41.75 Kept: 77442
% 41.34/41.75 Inuse: 1038
% 41.34/41.75 Deleted: 672
% 41.34/41.75 Deletedinuse: 11
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 382855
% 41.34/41.75 Kept: 80469
% 41.34/41.75 Inuse: 1053
% 41.34/41.75 Deleted: 673
% 41.34/41.75 Deletedinuse: 12
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying clauses:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 404752
% 41.34/41.75 Kept: 84934
% 41.34/41.75 Inuse: 1068
% 41.34/41.75 Deleted: 982
% 41.34/41.75 Deletedinuse: 12
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 427341
% 41.34/41.75 Kept: 88711
% 41.34/41.75 Inuse: 1088
% 41.34/41.75 Deleted: 982
% 41.34/41.75 Deletedinuse: 12
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 441598
% 41.34/41.75 Kept: 90827
% 41.34/41.75 Inuse: 1093
% 41.34/41.75 Deleted: 982
% 41.34/41.75 Deletedinuse: 12
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 456262
% 41.34/41.75 Kept: 92951
% 41.34/41.75 Inuse: 1098
% 41.34/41.75 Deleted: 982
% 41.34/41.75 Deletedinuse: 12
% 41.34/41.75
% 41.34/41.75 Resimplifying inuse:
% 41.34/41.75 Done
% 41.34/41.75
% 41.34/41.75
% 41.34/41.75 Intermediate Status:
% 41.34/41.75 Generated: 469809
% 82.48/82.91 Kept: 98048
% 82.48/82.91 Inuse: 1102
% 82.48/82.91 Deleted: 982
% 82.48/82.91 Deletedinuse: 12
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 479680
% 82.48/82.91 Kept: 100345
% 82.48/82.91 Inuse: 1118
% 82.48/82.91 Deleted: 982
% 82.48/82.91 Deletedinuse: 12
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying clauses:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 501255
% 82.48/82.91 Kept: 103812
% 82.48/82.91 Inuse: 1138
% 82.48/82.91 Deleted: 1172
% 82.48/82.91 Deletedinuse: 12
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 517116
% 82.48/82.91 Kept: 105898
% 82.48/82.91 Inuse: 1143
% 82.48/82.91 Deleted: 1172
% 82.48/82.91 Deletedinuse: 12
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 525799
% 82.48/82.91 Kept: 107900
% 82.48/82.91 Inuse: 1161
% 82.48/82.91 Deleted: 1172
% 82.48/82.91 Deletedinuse: 12
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 537054
% 82.48/82.91 Kept: 109971
% 82.48/82.91 Inuse: 1181
% 82.48/82.91 Deleted: 1176
% 82.48/82.91 Deletedinuse: 16
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 550865
% 82.48/82.91 Kept: 115400
% 82.48/82.91 Inuse: 1182
% 82.48/82.91 Deleted: 1176
% 82.48/82.91 Deletedinuse: 16
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 574587
% 82.48/82.91 Kept: 118924
% 82.48/82.91 Inuse: 1198
% 82.48/82.91 Deleted: 1177
% 82.48/82.91 Deletedinuse: 17
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying clauses:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 596789
% 82.48/82.91 Kept: 123339
% 82.48/82.91 Inuse: 1218
% 82.48/82.91 Deleted: 1311
% 82.48/82.91 Deletedinuse: 17
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 606034
% 82.48/82.91 Kept: 125644
% 82.48/82.91 Inuse: 1238
% 82.48/82.91 Deleted: 1312
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 623789
% 82.48/82.91 Kept: 127882
% 82.48/82.91 Inuse: 1243
% 82.48/82.91 Deleted: 1312
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 641420
% 82.48/82.91 Kept: 130019
% 82.48/82.91 Inuse: 1248
% 82.48/82.91 Deleted: 1312
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 659920
% 82.48/82.91 Kept: 132255
% 82.48/82.91 Inuse: 1253
% 82.48/82.91 Deleted: 1312
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 678300
% 82.48/82.91 Kept: 134383
% 82.48/82.91 Inuse: 1258
% 82.48/82.91 Deleted: 1312
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 689520
% 82.48/82.91 Kept: 136549
% 82.48/82.91 Inuse: 1277
% 82.48/82.91 Deleted: 1313
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 702666
% 82.48/82.91 Kept: 138632
% 82.48/82.91 Inuse: 1298
% 82.48/82.91 Deleted: 1313
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 715287
% 82.48/82.91 Kept: 141267
% 82.48/82.91 Inuse: 1307
% 82.48/82.91 Deleted: 1313
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying clauses:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 730503
% 82.48/82.91 Kept: 144891
% 82.48/82.91 Inuse: 1317
% 82.48/82.91 Deleted: 1556
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 740935
% 82.48/82.91 Kept: 146952
% 82.48/82.91 Inuse: 1332
% 82.48/82.91 Deleted: 1556
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 762602
% 82.48/82.91 Kept: 149607
% 82.48/82.91 Inuse: 1352
% 82.48/82.91 Deleted: 1556
% 82.48/82.91 Deletedinuse: 18
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 809942
% 82.48/82.91 Kept: 154384
% 82.48/82.91 Inuse: 1362
% 82.48/82.91 Deleted: 1557
% 82.48/82.91 Deletedinuse: 19
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 820388
% 82.48/82.91 Kept: 156591
% 82.48/82.91 Inuse: 1376
% 82.48/82.91 Deleted: 1559
% 82.48/82.91 Deletedinuse: 20
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 833468
% 82.48/82.91 Kept: 158984
% 82.48/82.91 Inuse: 1391
% 82.48/82.91 Deleted: 1559
% 82.48/82.91 Deletedinuse: 20
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 845664
% 82.48/82.91 Kept: 161016
% 82.48/82.91 Inuse: 1407
% 82.48/82.91 Deleted: 1559
% 82.48/82.91 Deletedinuse: 20
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying clauses:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91 Resimplifying inuse:
% 82.48/82.91 Done
% 82.48/82.91
% 82.48/82.91
% 82.48/82.91 Intermediate Status:
% 82.48/82.91 Generated: 860157
% 82.48/82.91 Kept: 163585
% 82.48/82.91 Inuse: 1426
% 179.40/179.85 Deleted: 1786
% 179.40/179.85 Deletedinuse: 20
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 871500
% 179.40/179.85 Kept: 165630
% 179.40/179.85 Inuse: 1441
% 179.40/179.85 Deleted: 1786
% 179.40/179.85 Deletedinuse: 20
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 882222
% 179.40/179.85 Kept: 168057
% 179.40/179.85 Inuse: 1456
% 179.40/179.85 Deleted: 1787
% 179.40/179.85 Deletedinuse: 21
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 900462
% 179.40/179.85 Kept: 171082
% 179.40/179.85 Inuse: 1471
% 179.40/179.85 Deleted: 1791
% 179.40/179.85 Deletedinuse: 25
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 908638
% 179.40/179.85 Kept: 173999
% 179.40/179.85 Inuse: 1472
% 179.40/179.85 Deleted: 1791
% 179.40/179.85 Deletedinuse: 25
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 918602
% 179.40/179.85 Kept: 176506
% 179.40/179.85 Inuse: 1476
% 179.40/179.85 Deleted: 1791
% 179.40/179.85 Deletedinuse: 25
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 929103
% 179.40/179.85 Kept: 179057
% 179.40/179.85 Inuse: 1481
% 179.40/179.85 Deleted: 1791
% 179.40/179.85 Deletedinuse: 25
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 941124
% 179.40/179.85 Kept: 182544
% 179.40/179.85 Inuse: 1486
% 179.40/179.85 Deleted: 1791
% 179.40/179.85 Deletedinuse: 25
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85 Resimplifying clauses:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 953909
% 179.40/179.85 Kept: 186031
% 179.40/179.85 Inuse: 1491
% 179.40/179.85 Deleted: 2922
% 179.40/179.85 Deletedinuse: 25
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 965149
% 179.40/179.85 Kept: 188490
% 179.40/179.85 Inuse: 1496
% 179.40/179.85 Deleted: 2922
% 179.40/179.85 Deletedinuse: 25
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 978880
% 179.40/179.85 Kept: 190649
% 179.40/179.85 Inuse: 1521
% 179.40/179.85 Deleted: 2922
% 179.40/179.85 Deletedinuse: 25
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 995443
% 179.40/179.85 Kept: 194223
% 179.40/179.85 Inuse: 1536
% 179.40/179.85 Deleted: 2923
% 179.40/179.85 Deletedinuse: 26
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 1006469
% 179.40/179.85 Kept: 196717
% 179.40/179.85 Inuse: 1541
% 179.40/179.85 Deleted: 2923
% 179.40/179.85 Deletedinuse: 26
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 1024723
% 179.40/179.85 Kept: 200707
% 179.40/179.85 Inuse: 1551
% 179.40/179.85 Deleted: 2923
% 179.40/179.85 Deletedinuse: 26
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 1036542
% 179.40/179.85 Kept: 203030
% 179.40/179.85 Inuse: 1566
% 179.40/179.85 Deleted: 2923
% 179.40/179.85 Deletedinuse: 26
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85 Resimplifying clauses:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 1042265
% 179.40/179.85 Kept: 205467
% 179.40/179.85 Inuse: 1571
% 179.40/179.85 Deleted: 3231
% 179.40/179.85 Deletedinuse: 26
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 1056082
% 179.40/179.85 Kept: 208549
% 179.40/179.85 Inuse: 1576
% 179.40/179.85 Deleted: 3231
% 179.40/179.85 Deletedinuse: 26
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 1077611
% 179.40/179.85 Kept: 213793
% 179.40/179.85 Inuse: 1581
% 179.40/179.85 Deleted: 3231
% 179.40/179.85 Deletedinuse: 26
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 1087567
% 179.40/179.85 Kept: 215867
% 179.40/179.85 Inuse: 1601
% 179.40/179.85 Deleted: 3231
% 179.40/179.85 Deletedinuse: 26
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85 Resimplifying inuse:
% 179.40/179.85 Done
% 179.40/179.85
% 179.40/179.85
% 179.40/179.85 Intermediate Status:
% 179.40/179.85 Generated: 1124286
% 179.40/179.85 Kept: 220381
% 179.40/179.85 Inuse: 1621
% 179.40/179.85 Deleted: 3231
% 179.40/179.86 Deletedinuse: 26
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86
% 179.40/179.86 Intermediate Status:
% 179.40/179.86 Generated: 1156358
% 179.40/179.86 Kept: 227026
% 179.40/179.86 Inuse: 1641
% 179.40/179.86 Deleted: 3231
% 179.40/179.86 Deletedinuse: 26
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86 Resimplifying clauses:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86
% 179.40/179.86 Intermediate Status:
% 179.40/179.86 Generated: 1166656
% 179.40/179.86 Kept: 229576
% 179.40/179.86 Inuse: 1656
% 179.40/179.86 Deleted: 3387
% 179.40/179.86 Deletedinuse: 26
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86
% 179.40/179.86 Intermediate Status:
% 179.40/179.86 Generated: 1178949
% 179.40/179.86 Kept: 232310
% 179.40/179.86 Inuse: 1671
% 179.40/179.86 Deleted: 3387
% 179.40/179.86 Deletedinuse: 26
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86
% 179.40/179.86 Intermediate Status:
% 179.40/179.86 Generated: 1189740
% 179.40/179.86 Kept: 234490
% 179.40/179.86 Inuse: 1686
% 179.40/179.86 Deleted: 3387
% 179.40/179.86 Deletedinuse: 26
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86
% 179.40/179.86 Intermediate Status:
% 179.40/179.86 Generated: 1203400
% 179.40/179.86 Kept: 237121
% 179.40/179.86 Inuse: 1706
% 179.40/179.86 Deleted: 3389
% 179.40/179.86 Deletedinuse: 28
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86 Resimplifying inuse:
% 179.40/179.86 Done
% 179.40/179.86
% 179.40/179.86
% 179.40/179.86 Intermediate Status:
% 179.40/179.86 Generated: 1221834
% 179.40/179.86 Kept: 239622
% 179.40/179.86 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------