TSTP Solution File: SWV862-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV862-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 300.02s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV862-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Wed Jun 15 17:57:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.03/1.41 *** allocated 10000 integers for termspace/termends
% 1.03/1.41 *** allocated 10000 integers for clauses
% 1.03/1.41 *** allocated 10000 integers for justifications
% 1.03/1.41 *** allocated 15000 integers for termspace/termends
% 1.03/1.41 *** allocated 22500 integers for termspace/termends
% 1.03/1.41 Bliksem 1.12
% 1.03/1.41
% 1.03/1.41
% 1.03/1.41 Automatic Strategy Selection
% 1.03/1.41
% 1.03/1.41 Clauses:
% 1.03/1.41 [
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OInf__fin'( X ), Y ), hAPP(
% 1.03/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ) ), =( Y,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OSup__fin'( X ), Y ), hAPP(
% 1.03/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ) ), =( Y,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 1.03/1.41 ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.41 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OInf__fin'( X ), Z ) ), Y ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X )
% 1.03/1.41 ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.03/1.41 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.03/1.41 ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W
% 1.03/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), T ), U ) ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.03/1.41 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.03/1.41 ) ), W ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.03/1.41 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T )
% 1.03/1.41 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ) ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ) ), W ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), Z ), Y ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.03/1.41 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.03/1.41 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.41 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.03/1.41 ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OSup__fin'( X ), Z ) ), Y ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X )
% 1.03/1.41 ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), T ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), T ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.03/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OInf__fin'( X ), 'c_Finite__Set_Ofold1'(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.41 X ), Y ), Z ) ), Z ), Y ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.41 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.41 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.41 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.41 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.03/1.41 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.41 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.03/1.41 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.41 ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.03/1.41 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 1.03/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 1.03/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.03/1.41 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 1.03/1.41 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), hAPP( 'c_Finite__Set_Olattice__class_OInf__fin'( X ), Y ) ), hAPP(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OSup__fin'( X ), Y ) ) ), =( Y,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.03/1.41 ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), T ), Z ) ), U ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OSup__fin'( X ), 'c_Finite__Set_Ofold1'(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T
% 1.03/1.41 ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Z, T ) ),
% 1.03/1.41 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_in'( Y ), T ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( 't_b' ) ), =(
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'v_A', 'v_f',
% 1.03/1.41 't_a', 't_b' ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( 't_b' ),
% 1.03/1.41 hAPP( 'c_Set_Oimage'( 'v_f', 't_a', 't_b' ), 'v_A' ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 1.03/1.41 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.03/1.41 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.41 X ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.41 X ), Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Z, U ) ), hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.03/1.41 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ) ) ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) )
% 1.03/1.41 , ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( 'c_Collect'( X )
% 1.03/1.41 , hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP(
% 1.03/1.41 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ) ), hAPP( 'c_COMBC'(
% 1.03/1.41 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OSup__fin'( X ), Z ) ), hAPP(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OSup__fin'( X ), hAPP( 'c_Collect'( X ),
% 1.03/1.41 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'(
% 1.03/1.41 X ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'(
% 1.03/1.41 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.03/1.41 , 'tc_bool' ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.03/1.41 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.41 'tc_bool' ), X ), 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) ), X
% 1.03/1.41 , 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ) ) ) ), X, 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( X )
% 1.03/1.41 , X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ) ), =( Z,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), X
% 1.03/1.41 ), 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.03/1.41 'tc_bool' ) ), Y ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP(
% 1.03/1.41 hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.03/1.41 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.03/1.41 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.41 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( 'c_COMBC'( 'c_in'( X ), X,
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ) ) ), hAPP( 'c_COMBC'( 'c_in'(
% 1.03/1.41 X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 1.03/1.41 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.03/1.41 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.03/1.41 , X ), T ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( 'c_Finite__Set_Ofold1'(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ), Y ) ), Z ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.41 Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.03/1.41 X ), Y ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~(
% 1.03/1.41 'class_Lattices_Olower__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( Y ), hAPP( Z, hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), U ) ) ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y ), hAPP( Z, T ) ),
% 1.03/1.41 hAPP( Z, U ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y
% 1.03/1.41 ) ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ), 'tc_bool' ), Y ) ), Y ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.03/1.41 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.03/1.41 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ) ),
% 1.03/1.41 hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z
% 1.03/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), Z ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.03/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.41 hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y
% 1.03/1.41 ) ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.03/1.41 'tc_bool' ), Z ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.03/1.41 Z ) ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.03/1.41 Z ) ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.03/1.41 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 1.03/1.41 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.41 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.03/1.41 ), T ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.41 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.03/1.41 ), Z ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.41 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.03/1.41 ), T ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.41 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.03/1.41 ), Z ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.41 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a',
% 1.03/1.41 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ) ), hAPP( 'c_COMBC'( 'c_in'(
% 1.03/1.41 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), Y ) ), 'v_x' )
% 1.03/1.41 , hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 'tc_bool'
% 1.03/1.41 ) ), X ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.41 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ =( hAPP( 'c_Set_Oimage'( 'v_f', 't_a', 't_b' ), 'v_A' ), hAPP(
% 1.03/1.41 'c_Collect'( 't_b' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.03/1.41 , 'tc_bool', 't_b' ), 'c_Ex'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.03/1.41 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 't_b' ), hAPP(
% 1.03/1.41 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), hAPP(
% 1.03/1.41 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.03/1.41 'tc_bool' ), 'v_A' ) ) ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 't_a', 't_b' ),
% 1.03/1.41 'tc_fun'( 't_a', 'tc_bool' ) ), 't_b' ), 'c_COMBB'( 't_b', 'tc_bool',
% 1.03/1.41 't_a' ) ), 'c_fequal'( 't_b' ) ), 't_b', 'tc_fun'( 't_a', 't_b' ),
% 1.03/1.41 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_f' ) ) ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool'
% 1.03/1.41 , 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.41 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X
% 1.03/1.41 , 'tc_bool' ), 'tc_bool' ), Y ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.03/1.41 'tc_bool', X ), 'c_Not' ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OInf__fin'( X ), Z ) ), hAPP(
% 1.03/1.41 'c_Finite__Set_Olattice__class_OInf__fin'( X ), hAPP( 'c_Collect'( X ),
% 1.03/1.41 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'(
% 1.03/1.41 X ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'(
% 1.03/1.41 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.03/1.41 , 'tc_bool' ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.03/1.41 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.41 'tc_bool' ), X ), 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) ), X
% 1.03/1.41 , 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ) ) ) ), X, 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( X )
% 1.03/1.41 , X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) ) ) ) ), =( Z,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.03/1.41 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.03/1.41 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.03/1.41 hBOOL( hAPP( Z,
% 1.03/1.41 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.03/1.41 , T, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), Z )
% 1.03/1.41 , Y ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__semigroup__add'( X ) ), =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.41 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ),
% 1.03/1.41 'c_Finite__Set_Olinorder__class_OMax'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) ), hAPP(
% 1.03/1.41 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.03/1.41 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.03/1.41 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.03/1.41 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.03/1.41 , 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.03/1.41 , 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) ), X, 'tc_fun'( X, X )
% 1.03/1.41 , 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.03/1.41 ) ) ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) )
% 1.03/1.41 ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__semigroup__add'( X ) ), =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.41 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ),
% 1.03/1.41 'c_Finite__Set_Olinorder__class_OMin'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) ), hAPP(
% 1.03/1.41 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.03/1.41 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.03/1.41 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.03/1.41 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.03/1.41 , 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.03/1.41 , 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) ), X, 'tc_fun'( X, X )
% 1.03/1.41 , 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.03/1.41 ) ) ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ) ) )
% 1.03/1.41 ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ),
% 1.03/1.41 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ) )
% 1.03/1.41 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X )
% 1.03/1.41 , Y ), X ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, U, X ), W ) ), T ) )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( 'c_Set_Oimage'( Z, T, Y ), U ) ) )
% 1.03/1.41 ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 1.03/1.41 hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ) ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y
% 1.03/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) )
% 1.03/1.41 ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) )
% 1.03/1.41 ],
% 1.03/1.41 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z ), hBOOL(
% 1.03/1.41 hAPP( X, Z ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.03/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 1.03/1.41 hAPP( 'c_Set_Oimage'( U, X, T ), Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ),
% 1.03/1.41 Z ) ) ) ), ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), X, T ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), U ) )
% 1.03/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 1.03/1.41 , U ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'(
% 1.03/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), Z ), 'c_The'(
% 1.03/1.41 'c_Finite__Set_Ofold1Set'( X, Z, Y ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 1.03/1.41 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.03/1.41 , Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U,
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T
% 1.03/1.41 ) ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 X, Y, Z ), T ), U ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 1.03/1.41 , 'tc_bool' ) ) ), Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'(
% 1.03/1.41 U, Z, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 1.03/1.41 X ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.03/1.41 , hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ), ~( hBOOL(
% 1.03/1.41 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.03/1.41 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.03/1.41 , V2, Z, Y ) ) ],
% 1.03/1.41 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.03/1.41 , Z, V2, Y ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.03/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 1.03/1.41 , hAPP( 'c_Set_Oinsert'( Y ), T ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.03/1.41 hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, Z, 'tc_fun'(
% 1.03/1.41 Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.03/1.41 , X ) ) ],
% 1.03/1.41 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.41 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z,
% 1.03/1.41 Y, U ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Collect'( X ), Y ), Y ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.03/1.41 , T ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.03/1.41 , Z ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.41 X ), Y ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.03/1.41 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.03/1.41 ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 1.03/1.41 , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.03/1.41 , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 1.03/1.41 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.03/1.41 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 1.03/1.41 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.03/1.41 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.41 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.03/1.41 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U
% 1.03/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.03/1.41 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.03/1.41 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( Y ), hAPP( U, Z ) ), hAPP( U, T ) ) ) ), ~( hBOOL(
% 1.03/1.41 'c_Orderings_Oorder__class_Ostrict__mono'( U, X, Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.03/1.41 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ),
% 1.03/1.41 hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T
% 1.03/1.41 ), U ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y
% 1.03/1.41 ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.03/1.41 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( U, Z ) ), hAPP(
% 1.03/1.41 U, T ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( U, X,
% 1.03/1.41 Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ), hAPP(
% 1.03/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.03/1.41 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.03/1.41 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.03/1.41 ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool'
% 1.03/1.41 ), Y ) ) ) ), 'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ) ) ) ) )
% 1.03/1.41 ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z,
% 1.03/1.41 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.03/1.41 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.03/1.41 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.03/1.41 'tc_bool' ), Y ), 'c_Collect'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z
% 1.03/1.41 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_COMBS'( Z,
% 1.03/1.41 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.41 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z,
% 1.03/1.41 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), U ) ) ) ), W ) ) ) ), V0 ), hAPP(
% 1.03/1.41 hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBS'( Z, 'tc_fun'(
% 1.03/1.41 Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, X ), 'tc_fun'(
% 1.03/1.41 'tc_fun'( Y, 'tc_bool' ), X ), Z ), 'c_Finite__Set_Osetsum'( Y, X ) ),
% 1.03/1.41 'c_COMBC'( T, Y, Z, X ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z ), 'c_Collect'( Y ) ), hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 1.03/1.41 , hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), hAPP(
% 1.03/1.41 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), V0 ) )
% 1.03/1.41 ) ), 'c_COMBC'( W, Y, Z, 'tc_bool' ) ) ) ) ), U ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( U, Z ) ), ~( 'c_Finite__Set_Ofinite'( V0, Y ) )
% 1.03/1.41 ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( U, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ), X, U ), hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ) ), hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U )
% 1.03/1.41 , 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.03/1.41 'tc_fun'( Y, 'tc_bool' ), U ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' )
% 1.03/1.41 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y )
% 1.03/1.41 , 'c_and' ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ),
% 1.03/1.41 'tc_bool' ), T ) ) ) ), 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( U
% 1.03/1.41 , 'tc_bool' ), Y ), 'c_fequal'( U ) ), W ), Y, U, 'tc_bool' ) ) ) ) ),
% 1.03/1.41 hAPP( 'c_Set_Oimage'( W, Y, U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'( T,
% 1.03/1.41 Y ) ) ],
% 1.03/1.41 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OGreatestM'( Y, Z, T
% 1.03/1.41 , X ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.03/1.41 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.41 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.03/1.41 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.03/1.41 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.41 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( X, 'tc_fun'( T, 'tc_bool' ), T ), 'c_COMBC'( hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ), 'c_lessequals'( X ) ), Y ),
% 1.03/1.41 T, X, 'tc_bool' ) ), Y ) ) ) ), T ) ) ],
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ), hAPP(
% 1.03/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.03/1.41 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.03/1.41 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.03/1.41 ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool'
% 1.03/1.41 ), Y ) ) ) ), 'c_lessequals'( X ) ) ) ) ) ) ],
% 1.03/1.41 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.03/1.41 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.03/1.41 'c_COMBC'( 'c_in'( T ), T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ) ) )
% 1.03/1.41 ), 'c_COMBC'( U, T, T, 'tc_bool' ) ) ) ) ) ), ~(
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice'( Z, X, U, W, V0, V1, V2, V3, T )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( Y, X
% 1.03/1.41 , Z, 'tc_bool' ), T ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U )
% 1.03/1.41 ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Z ) ), hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X )
% 1.03/1.41 , hAPP( 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP(
% 1.03/1.41 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), U ) ) )
% 1.03/1.41 ), Y ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) ) ],
% 1.03/1.41 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.03/1.41 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.03/1.41 'c_COMBC'( 'c_in'( T ), T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ) ) )
% 1.03/1.41 ), U ) ) ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, Z, U, W
% 1.03/1.41 , V0, V1, V2, V3, T ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.41 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.03/1.41 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.03/1.41 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.03/1.41 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( T, X
% 1.03/1.41 , Y, 'tc_bool' ),
% 1.03/1.41 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.03/1.41 , T, Y, X ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y
% 1.03/1.41 ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice'(
% 1.03/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.03/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_COMBC'( 'c_lessequals'( X
% 1.03/1.41 ), X, X, 'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X,
% 1.03/1.41 'tc_bool' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.03/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.03/1.41 , X ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.03/1.41 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.41 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.03/1.41 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, Z, T ), U ), T, W ), ~(
% 1.03/1.41 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, T, W, Z ), U, Z, W ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.03/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 1.03/1.41 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 1.03/1.41 , Z ) ],
% 1.03/1.41 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 1.03/1.41 ), hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( X, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.03/1.41 X, Y, U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ) ), T ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ) ), ~(
% 1.03/1.41 'c_Fun_Oinj__on'( X, T, Y, U ) ) ],
% 1.03/1.41 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 1.03/1.41 'c_Natural_Oevaln'( Y, T, U, W ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.03/1.41 [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevaln'( Z, Y, T, U ), ~(
% 1.03/1.41 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Z, W ), Y, T, U ) ) ],
% 1.03/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.41 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.41 , Z ) ), T ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.03/1.41 ],
% 1.03/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.03/1.41 ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.03/1.41 , 'tc_bool' ) ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.03/1.41 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.41 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.03/1.41 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.41 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.03/1.41 Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 1.03/1.41 ) ],
% 1.03/1.41 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U ), ~(
% 1.03/1.41 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~(
% 1.03/1.41 'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.03/1.41 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 1.03/1.41 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 1.03/1.41 ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 1.03/1.41 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), U ) )
% 1.03/1.41 ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ) ) )
% 1.03/1.41 ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.03/1.41 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 1.03/1.41 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), T ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.03/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.03/1.41 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.03/1.41 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.03/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.03/1.41 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.03/1.41 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.03/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.03/1.41 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.03/1.41 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.03/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.03/1.41 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.03/1.41 Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.03/1.41 Y ), Z ) ) ) ],
% 1.03/1.41 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 1.03/1.41 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 1.03/1.41 ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Z ), Y ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.03/1.41 ), Y ) ) ],
% 1.03/1.41 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.03/1.41 X, Z ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 X, Z ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Collect'( X ), Z ) ) ),
% 1.03/1.41 ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.03/1.41 'c_Collect'( Z ), X ) ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.41 X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.41 X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.03/1.41 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.03/1.41 U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.03/1.41 Y, 'tc_bool' ) ), Y, Z ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.41 X ), Y ), T ) ), Z ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 1.03/1.41 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 1.03/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_in'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.03/1.41 ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Set_Oinsert'( X ), T ), Z ) ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_in'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.03/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.03/1.41 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( X ), T ), Y ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.03/1.41 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.03/1.41 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), Z ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Z ), Y ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP(
% 1.03/1.41 Z, 'v_x' ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X
% 1.03/1.41 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.03/1.41 ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.03/1.41 'tc_bool' ), Y ) ) ), Z ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.03/1.41 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.03/1.41 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 1.03/1.41 ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.03/1.41 =( X, Z ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.03/1.41 =( Y, T ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), U ), T ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) )
% 1.03/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.03/1.41 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 1.03/1.41 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, U, Z ), W ), Z, T ) ), ~(
% 1.03/1.41 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.03/1.41 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.03/1.41 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.03/1.41 ) ), ~( =( hAPP( Z, T ), hAPP( Z, U ) ) ), ~( hBOOL(
% 1.03/1.41 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ), =( T, U ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.03/1.41 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ), hAPP(
% 1.03/1.41 Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U
% 1.03/1.41 ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) )
% 1.03/1.41 ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.03/1.41 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.41 T, Y ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.03/1.41 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.03/1.41 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.41 T, Y ) ) ],
% 1.03/1.41 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.03/1.41 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.41 , T ), U ), Y, Z ) ), =( T, U ) ],
% 1.03/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.03/1.41 , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, Y, U, 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.03/1.41 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 1.03/1.41 X ), Y ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.41 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 1.03/1.41 , Z ), T ) ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.03/1.41 , =( Z, W ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.03/1.41 , =( Y, U ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.03/1.41 , =( X, T ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.03/1.41 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 1.03/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 1.03/1.41 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.41 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 1.03/1.41 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 1.03/1.41 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.41 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 1.03/1.41 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 1.03/1.41 ) ],
% 1.03/1.41 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 1.03/1.41 ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ),
% 1.03/1.41 ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), X, T ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.03/1.41 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~(
% 1.03/1.41 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.03/1.41 'tc_bool' ) ), T, X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.03/1.41 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.03/1.41 =( Y, U ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.03/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.03/1.41 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.03/1.41 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.03/1.41 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.03/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.03/1.41 Y, Z ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.03/1.41 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T
% 1.03/1.41 ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.03/1.41 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ =( hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), Z
% 1.03/1.41 , Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP(
% 1.03/1.41 'c_Set_Oimage'( T, X, Y ), hAPP( 'c_Set_Oimage'( U, Z, X ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 1.03/1.41 Z, Y, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool'
% 1.03/1.41 ) ), hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ) ), Z ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.03/1.41 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , T ), Z ) ) ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), U ), W ), T, 'tc_fun'(
% 1.03/1.41 Z, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.41 hAPP( 'c_Set_Oimage'( W, T, Y ), X ), U, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.03/1.41 ],
% 1.03/1.41 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.03/1.41 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.03/1.41 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.03/1.41 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.03/1.41 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.41 ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.03/1.41 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP(
% 1.03/1.41 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 'c_Finite__Set_Ofold1'(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), X ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( X ), Y ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.03/1.41 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.03/1.41 [ 'c_Natural_Oevaln'( X, Y, Z, T ), hBOOL( hAPP( U, Y ) ), ~(
% 1.03/1.41 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( U, W, X ), Y, Z, T ) ) ],
% 1.03/1.41 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 1.03/1.41 'c_Natural_Oevaln'( Z, T, U, W ) ), hBOOL( hAPP( X, T ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.03/1.41 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.03/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.03/1.41 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.03/1.41 ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.03/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.03/1.41 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 1.03/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.03/1.41 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.03/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.03/1.41 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 1.03/1.41 , hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.03/1.41 'tc_bool' ) ), T ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.41 , T ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, Z,
% 1.03/1.41 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.41 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.03/1.41 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 1.03/1.41 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.03/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.03/1.41 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 1.03/1.41 'tc_bool' ) ), hAPP( T, Y ) ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.03/1.41 U, 'tc_bool' ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 1.03/1.41 X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.03/1.41 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.41 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.41 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.41 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.03/1.41 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP(
% 1.03/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.41 , hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Y
% 1.03/1.41 ) ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X
% 1.03/1.41 ), Z ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.03/1.41 ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.03/1.41 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.41 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 1.03/1.41 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.03/1.41 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.03/1.41 'tc_bool' ), Y ), X ), Y ) ],
% 1.03/1.41 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 1.03/1.41 , 'v_x' ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~(
% 1.03/1.41 'class_Lattices_Oupper__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_lessequals'( Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( Y ), hAPP( Z, T ) ), hAPP(
% 1.03/1.41 Z, U ) ) ), hAPP( Z, hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), U ) ) ) ), ~(
% 1.03/1.41 hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.03/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 1.03/1.41 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.41 T, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Z,
% 1.03/1.41 'tc_bool' ), W ), 'c_Set_Oimage'( X, Y, Z ) ), U ), W, 'tc_fun'( Z,
% 1.03/1.41 'tc_bool' ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.03/1.41 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.03/1.41 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.03/1.41 ) ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.41 X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.03/1.41 ) ) ) ],
% 1.03/1.41 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.03/1.41 Y, X ) ],
% 1.03/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 1.03/1.41 'c_Set_Oimage'( Y, T, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.41 'tc_fun'( T, 'tc_bool' ) ), U ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ) ),
% 1.03/1.41 ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ), U ), T, X
% 1.03/1.41 ) ) ],
% 1.03/1.41 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.41 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.03/1.41 , Y ), T ) ) ],
% 1.03/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 1.03/1.41 ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), 'c_Fun_Ocomp'( Z, T, Y
% 1.03/1.41 , X, U ) ), W ) ), ~( 'c_Fun_Oinj__on'( T, W, U, Y ) ) ],
% 1.03/1.41 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( Z, 'tc_bool' ) ), Y ), hAPP( 'c_Set_Oimage'( X, Z, Z ), Y ) ) )
% 1.03/1.41 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.03/1.41 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.03/1.41 , U ), Y ), Z, T ) ) ],
% 1.03/1.41 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.03/1.41 , Y ), U ), Z, T ) ) ],
% 1.03/1.41 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.03/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.03/1.41 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.03/1.41 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.03/1.41 ,
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.03/1.41 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.41 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.03/1.41 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.03/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.41 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.03/1.41 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.41 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 1.03/1.41 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 1.03/1.41 ) ), hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( Y, Z, U ), X ), T ), U
% 1.03/1.41 , Z ), W ) ) ],
% 1.03/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.03/1.41 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.03/1.41 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.03/1.41 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.03/1.41 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.41 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.41 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.03/1.41 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.41 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 1.03/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.03/1.41 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.03/1.41 , V2, Z, Y ) ) ],
% 1.03/1.41 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.03/1.41 , Z, V2, Y ) ) ],
% 1.03/1.41 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.41 'c_Collect'( X ), Y ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.03/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.03/1.42 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.03/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.42 [ ~( =( hAPP( 'c_Collect'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.03/1.42 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 1.03/1.42 ],
% 1.03/1.42 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.42 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ), Y ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.03/1.42 ) ) ), Y ), Y ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.42 ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.42 ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.42 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 1.03/1.42 ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ), X ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.42 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.03/1.42 , 'tc_bool' ) ) ) ],
% 1.03/1.42 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.42 'tc_bool' ) ), Y, Z ) ],
% 1.03/1.42 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.42 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.42 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.03/1.42 'tc_bool' ) ) ) ) ],
% 1.03/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.42 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.03/1.42 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.42 X ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.03/1.42 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.03/1.42 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.03/1.42 'tc_bool' ), Y ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) )
% 1.03/1.42 ],
% 1.03/1.42 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.42 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.03/1.42 'c_Set_Oinsert'( Y ), Z ) ), T ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.03/1.42 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.03/1.42 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 1.03/1.42 , hAPP( 'c_Set_Oinsert'( Y ), T ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.03/1.42 hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ),
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, Z, 'tc_fun'(
% 1.03/1.42 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.03/1.42 'tc_bool' ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.42 Z, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ), U ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), T ), U, 'tc_fun'( X
% 1.03/1.42 , 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.03/1.42 'tc_bool' ) ) ) ],
% 1.03/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.42 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.03/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.42 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ), T ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.42 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ), Z ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.42 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.03/1.42 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.03/1.42 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.03/1.42 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 1.03/1.42 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 1.03/1.42 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.03/1.42 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.42 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.03/1.42 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 1.03/1.42 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.42 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.03/1.42 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) )
% 1.03/1.42 ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.03/1.42 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.03/1.42 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.42 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), Y ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.03/1.42 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.42 , Y ), T ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.03/1.42 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.42 , Z ), T ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.03/1.42 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.03/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.42 hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Y ) ), Z ) ) ) ],
% 1.03/1.42 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.03/1.42 , Y ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.03/1.42 , Y ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.03/1.42 , Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.03/1.42 T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Z, T ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.03/1.42 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.42 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.03/1.42 'tc_bool' ), Y ) ) ), Z ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.03/1.42 , 'tc_bool' ) ) ), hBOOL( hAPP( Z, Y ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.03/1.42 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.42 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.03/1.42 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.42 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Z ) ), Y ) ), X ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.03/1.42 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.42 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.03/1.42 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.42 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.42 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_Natural_Oevalc'( T ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ) ), Y ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, T ) ), Y ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 1.03/1.42 , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), U ) ) )
% 1.03/1.42 , hBOOL( hAPP( X, T ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( T
% 1.03/1.42 , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T
% 1.03/1.42 , U, X ) ), Y ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP' ), X ), X )
% 1.03/1.42 ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ),
% 1.03/1.42 Z ), Z ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ),
% 1.03/1.42 Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'(
% 1.03/1.42 X, Y ) ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), Z
% 1.03/1.42 ), U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 1.03/1.42 , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), T ), U ) ) )
% 1.03/1.42 , ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.42 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.03/1.42 , hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ), X ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T
% 1.03/1.42 ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) )
% 1.03/1.42 ],
% 1.03/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.42 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), W ),
% 1.03/1.42 hAPP( 'c_Set_Oimage'( X, Z, T ), hAPP( 'c_Set_Oimage'( Y, U, Z ), W ) ) )
% 1.03/1.42 ],
% 1.03/1.42 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.03/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.42 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.42 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( 'c_COMBC'( Y, X
% 1.03/1.42 , Z, 'tc_bool' ), T ) ), X ), ~( hBOOL( hAPP( U, T ) ) ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.42 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Z ) ), hAPP( hAPP(
% 1.03/1.42 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X ), hAPP(
% 1.03/1.42 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.03/1.42 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), U ) ) ), Y ) ) ), X ) )
% 1.03/1.42 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Z ), U ), Z ) ) ],
% 1.03/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.42 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.03/1.42 ) ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.42 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.03/1.42 ) ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.03/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.03/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.42 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.03/1.42 ) ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.42 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.03/1.42 ) ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.03/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.42 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ), Y ), T ) ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.03/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.42 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ), T ), Y ) ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.03/1.42 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP(
% 1.03/1.42 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 'c_Finite__Set_Ofold1'(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), X ), Z ) ) ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.03/1.42 , 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ), Y ) ), =( Y,
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.03/1.42 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.03/1.42 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.03/1.42 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.03/1.42 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.03/1.42 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 1.03/1.42 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.03/1.42 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 1.03/1.42 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.03/1.42 V0, V1, Z, Y, V2 ) ) ],
% 1.03/1.42 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.03/1.42 V0, V1, Y, Z, V2 ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.03/1.42 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 1.03/1.42 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.03/1.42 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 1.03/1.42 V2, V3, V4 ) ) ],
% 1.03/1.42 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.03/1.42 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 1.03/1.42 V2, V3, V4 ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'(
% 1.03/1.42 X ), 'tc_Com_Ocom' ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y )
% 1.03/1.42 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'(
% 1.03/1.42 'c_Com_Obody'( X ), 'tc_Com_Ocom' ) ), Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.42 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.03/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.42 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.03/1.42 ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.03/1.42 ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.03/1.42 ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.03/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 1.03/1.42 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 1.03/1.42 ) ), Y ), T ) ) ) ],
% 1.03/1.42 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.42 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T
% 1.03/1.42 ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.42 X ), Y ), Y ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.03/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.03/1.42 Z ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.03/1.42 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.42 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 1.03/1.42 Y ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.03/1.42 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.03/1.42 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, hAPP( hAPP(
% 1.03/1.42 'c_COMBB'( Z, 'tc_fun'( W, 'tc_bool' ), Y ), U ), X ), Y, 'tc_fun'( W,
% 1.03/1.42 'tc_bool' ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.03/1.42 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.03/1.42 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.03/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.03/1.42 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.03/1.42 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.03/1.42 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.42 , U ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 1.03/1.42 'tc_bool' ) ), T ), W ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 1.03/1.42 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.03/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.03/1.42 , 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Y ) ), =( Y,
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.42 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.03/1.42 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.03/1.42 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 1.03/1.42 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 1.03/1.42 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 1.03/1.42 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 1.03/1.42 , V4 ), W ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'(
% 1.03/1.42 'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ],
% 1.03/1.42 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.42 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.03/1.42 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 1.03/1.42 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.03/1.42 U, 'tc_bool' ) ) ) ) ],
% 1.03/1.42 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 1.03/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.42 ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 1.03/1.42 ) ), Z ), T ) ), T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 1.03/1.42 , 'tc_bool' ) ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.03/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.03/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.42 ), Z ), Y ) ) ) ],
% 1.03/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.03/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.03/1.42 ), U ), T ) ) ) ],
% 1.03/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.03/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.03/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.42 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), U ) )
% 1.03/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 1.03/1.42 , U ) ) ) ],
% 1.03/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.03/1.42 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 1.03/1.42 , hAPP( 'c_Set_Oimage'( U, X, T ), Y ) ), hAPP( 'c_Set_Oimage'( U, X, T )
% 1.03/1.42 , Z ) ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.03/1.42 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ 'c_Natural_Oevaln'( X, Y, Z, T ), 'c_Natural_Oevaln'( U, Y, Z, T ),
% 1.03/1.42 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( W, U, X ), Y, Z, T ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ), Y ),
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.42 Z, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ), U ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ) ), T ), U, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.42 =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 1.03/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 1.03/1.42 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.03/1.42 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.03/1.42 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.03/1.42 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.03/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.03/1.42 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.03/1.42 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.03/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.03/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.03/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.03/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.03/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.03/1.42 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.03/1.42 Z ), Y ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.03/1.42 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z )
% 1.03/1.42 , Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'(
% 1.03/1.42 'c_Com_Ocom_OCond'( X, Z, U ) ), Y ), T ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ) ), Z
% 1.03/1.42 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), U ), T ) ) ),
% 1.03/1.42 ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Z ), U ) ) ) ],
% 1.03/1.42 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'(
% 1.03/1.42 'c_Com_Ocom_OSKIP' ), Y ), X ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~(
% 1.03/1.42 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~(
% 1.03/1.42 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.03/1.42 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.42 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.03/1.42 'tc_bool' ), Y ) ) ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.03/1.42 hAPP( Z, Y ) ) ) ],
% 1.03/1.42 [ =( 'c_Set_Ocontents'( 'v_X', 't_a' ), 'c_The'( hAPP( hAPP( 'c_COMBB'(
% 1.03/1.42 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), hAPP( 'c_fequal'(
% 1.03/1.42 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_X' ) ), hAPP( 'c_COMBC'(
% 1.03/1.42 'c_Set_Oinsert'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.03/1.42 't_a', 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 1.03/1.42 'tc_bool' ) ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( 'c_Collect'( X ), Z )
% 1.03/1.42 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.03/1.42 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.42 'tc_bool' ), X ), 'c_implies' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.03/1.42 'tc_bool', X ), 'c_Not' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.03/1.42 'tc_bool' ), Y ) ) ) ), Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OLeastM'( Y, Z, T, X
% 1.03/1.42 ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.03/1.42 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.42 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.03/1.42 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.42 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.03/1.42 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.42 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( 'c_COMBC'(
% 1.03/1.42 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, X
% 1.03/1.42 ), 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_COMBB'( X, 'tc_bool', T ) ), hAPP(
% 1.03/1.42 hAPP( 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ), 'c_lessequals'( X ) )
% 1.03/1.42 , Y ) ), T, 'tc_fun'( T, X ), 'tc_fun'( T, 'tc_bool' ) ), Y ) ) ) ), T )
% 1.03/1.42 ) ],
% 1.03/1.42 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.03/1.42 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.03/1.42 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.03/1.42 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 1.03/1.42 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 1.03/1.42 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 1.03/1.42 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 1.03/1.42 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.03/1.42 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.03/1.42 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.03/1.42 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.03/1.42 ), X ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y )
% 1.03/1.42 ), 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'(
% 1.03/1.42 'c_Com_Obody'( T ), 'tc_Com_Ocom' ), U, Y ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.03/1.42 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'( 'c_Com_Obody'(
% 1.03/1.42 T ), 'tc_Com_Ocom' ), U, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ),
% 1.03/1.42 V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.03/1.42 , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 1.03/1.42 , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.03/1.42 , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.03/1.42 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 1.03/1.42 'c_List_Ofoldl'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0
% 1.03/1.42 ), 'tc_fun'( 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W,
% 1.03/1.42 V0, U ) ), X ), V0, 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), Z ), Y, T, V0
% 1.03/1.42 , U ) ) ],
% 1.03/1.42 [ 'c_Lattices_Oboolean__algebra'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.03/1.42 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ),
% 1.03/1.42 'c_COMBB'( X, X, X ) ), Y ), X, 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), Z )
% 1.03/1.42 , Z, 'c_COMBC'( T, X, X, 'tc_bool' ), 'c_COMBC'( U, X, X, 'tc_bool' ), Y
% 1.03/1.42 , W, V0, V1, X ), ~( 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y,
% 1.03/1.42 V1, V0, X ) ) ],
% 1.03/1.42 [ 'c_Fun_Oinj__on'( hAPP( 'c_COMBC'( 'c_Set_Oinsert'( X ), X, 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.03/1.42 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.42 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.03/1.42 Z, Y ) ) ],
% 1.03/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.42 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( 'c_COMBC'(
% 1.03/1.42 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.03/1.42 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.03/1.42 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.03/1.42 Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.03/1.42 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ),
% 1.03/1.42 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, X ), 'tc_fun'( Y, 'tc_bool' ) ), X )
% 1.03/1.42 , 'c_COMBB'( X, 'tc_bool', Y ) ), 'c_fequal'( X ) ), X, 'tc_fun'( Y, X )
% 1.03/1.42 , 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ), X, 'tc_fun'( Y, 'tc_bool' ),
% 1.03/1.42 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.03/1.42 hAPP( 'c_Collect'( Y ), T ), Y ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.42 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_fequal'( X ), Y ) ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ],
% 1.03/1.42 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL(
% 1.03/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.42 'tc_bool' ) ) ) ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.03/1.42 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 1.03/1.42 ) ],
% 1.03/1.42 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 1.03/1.42 ) ],
% 1.03/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.42 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.03/1.42 , Y ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.03/1.42 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 1.03/1.42 ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 1.03/1.42 ), Z ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.03/1.42 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.03/1.42 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.03/1.42 ) ],
% 1.03/1.42 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.42 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 1.03/1.42 ) ) ],
% 1.03/1.42 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.42 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 1.03/1.42 ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.42 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ), T ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.03/1.42 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ),
% 1.03/1.42 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.03/1.42 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.03/1.42 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 1.03/1.42 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.03/1.42 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 1.03/1.42 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 1.03/1.42 ) ) ],
% 1.03/1.42 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.03/1.42 'tc_bool' ) ) ) ) ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 1.03/1.42 , Z ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.03/1.42 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.03/1.42 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.03/1.42 ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.03/1.42 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.03/1.42 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.03/1.42 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.03/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.03/1.42 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.03/1.42 , Y ) ],
% 1.03/1.42 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.03/1.42 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.03/1.42 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ), hAPP(
% 1.03/1.42 hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.03/1.42 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 1.03/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, hAPP( 'c_COMBC'(
% 1.03/1.42 hAPP( hAPP( 'c_COMBB'( Z, 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 1.03/1.42 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z ) ), X ), Y, 'tc_fun'( Z,
% 1.03/1.42 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( Z, 'tc_bool' ) ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.03/1.42 [ =( 'c_Set_Ocontents'( X, Y ), 'c_The'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.03/1.42 Y, 'tc_bool' ), 'tc_bool', Y ), hAPP( 'c_fequal'( 'tc_fun'( Y, 'tc_bool'
% 1.03/1.42 ) ), X ) ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y,
% 1.03/1.42 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( Y, 'tc_bool' ) ) ) ), Y ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.03/1.42 't_b' ) ), =( 'c_Orderings_Oorder__class_Omono'( 'v_f', 't_a', 't_b' ),
% 1.03/1.42 hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.03/1.42 ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a'
% 1.03/1.42 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.03/1.42 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.03/1.42 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.03/1.42 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.03/1.42 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.03/1.42 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.42 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), 'c_lessequals'( 't_a' )
% 1.03/1.42 ) ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b',
% 1.03/1.42 'tc_bool' ), 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a',
% 1.03/1.42 'tc_bool' ) ), 't_a' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP(
% 1.03/1.42 hAPP( 'c_COMBB'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ),
% 1.03/1.42 'c_lessequals'( 't_b' ) ), 'v_f' ) ), 't_a', 'tc_fun'( 't_a', 't_b' ),
% 1.03/1.42 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_f' ) ) ) ) ) ],
% 1.03/1.42 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.03/1.42 't_b' ) ), =( 'c_Orderings_Oorder__class_Ostrict__mono'( 'v_f', 't_a',
% 1.03/1.42 't_b' ), hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.03/1.42 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.03/1.42 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.03/1.42 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.03/1.42 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.03/1.42 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.03/1.42 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.03/1.42 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.03/1.42 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.03/1.42 'c_implies' ) ), 'c_HOL_Oord__class_Oless'( 't_a' ) ) ) ), hAPP(
% 1.03/1.42 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.03/1.42 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.03/1.42 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 't_b',
% 1.03/1.42 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_HOL_Oord__class_Oless'( 't_b' )
% 1.03/1.42 ), 'v_f' ) ), 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a',
% 1.03/1.42 'tc_bool' ) ), 'v_f' ) ) ) ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 1.03/1.42 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 1.03/1.42 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 1.03/1.42 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 1.03/1.42 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 1.03/1.42 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 1.03/1.42 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.03/1.42 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 1.03/1.42 ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.03/1.42 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 1.03/1.42 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 1.03/1.42 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 1.03/1.42 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 1.03/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.03/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.03/1.42 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.03/1.42 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP(
% 1.03/1.42 hAPP( 'c_COMBB'( 'tc_fun'( U, X ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X
% 1.03/1.42 ), Y ), 'c_Finite__Set_Osetsum'( U, X ) ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.03/1.42 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X )
% 1.03/1.42 ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.03/1.42 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), Y, 'tc_fun'( U, X )
% 1.03/1.42 , 'tc_fun'( U, X ) ), W ) ), Y, 'tc_fun'( U, 'tc_bool' ), X ), V0 ) ), T
% 1.03/1.42 ) ) ],
% 1.03/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.42 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.03/1.42 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), X ), Y ),
% 1.03/1.42 'c_Finite__Set_Osetsum'( Z, X ) ), T ), Y, 'tc_fun'( Z, 'tc_bool' ), X )
% 1.03/1.42 , U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP(
% 1.03/1.42 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y
% 1.03/1.42 , 'tc_bool' ), X ), Z ), 'c_Finite__Set_Osetsum'( Y, X ) ), 'c_COMBC'( T
% 1.03/1.42 , Y, Z, X ) ), Z, 'tc_fun'( Y, 'tc_bool' ), X ), W ) ), U ) ) ],
% 1.03/1.42 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.03/1.42 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.03/1.42 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.03/1.42 ) ), Y, 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.03/1.42 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.03/1.42 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.03/1.42 'tc_Com_Ostate', 'tc_bool' ) ), Y ), 'c_COMBS'( 'tc_Com_Ostate',
% 1.03/1.42 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.03/1.42 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.03/1.42 'tc_bool', 'tc_bool' ) ), Y ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.03/1.42 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ), 'c_and' ) ), Z ) ), Y,
% 1.03/1.42 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.03/1.42 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.03/1.42 'tc_Com_Ostate' ), 'c_Not' ), T ) ), 'c_Com_Ocom_OWhile'( T, U ), Z, Y )
% 1.03/1.42 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 Y ), 'tc_bool' ) ) ), Y ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 1.03/1.42 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.03/1.42 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.03/1.42 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Y ), Z ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.03/1.42 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.03/1.42 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.03/1.42 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 1.03/1.42 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.03/1.42 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 1.03/1.42 , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 1.03/1.42 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.03/1.42 ) ), Y ) ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.03/1.42 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.03/1.42 hAPP( U, W ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.03/1.42 U ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.03/1.42 T, W ), hAPP( U, W ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.03/1.42 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.03/1.42 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ =( 'c_Hoare__Mirabelle_OMGT'( 'v_c' ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ),
% 1.03/1.42 'v_c', 'c_Natural_Oevalc'( 'v_c' ), 'tc_Com_Ostate' ) ) ],
% 1.03/1.42 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.03/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.03/1.42 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.03/1.42 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.03/1.42 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.03/1.42 hBOOL( hAPP( Z, T ) ) ) ],
% 1.03/1.42 [ =( 'c_Hoare__Mirabelle_OMGT'( X ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), X,
% 1.03/1.42 'c_Natural_Oevalc'( X ), 'tc_Com_Ostate' ) ) ],
% 1.03/1.42 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_OMGT'( 'v_c' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.03/1.42 ), 'tc_Com_Ostate' ) ],
% 1.03/1.42 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 1.03/1.42 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.03/1.42 'c_Hoare__Mirabelle_Otriple_Otriple'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.03/1.42 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.03/1.42 'tc_Com_Ostate', 'tc_bool' ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.03/1.42 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_bool', 'tc_Com_Ostate' ),
% 1.03/1.42 'c_All'( 'tc_Com_Ostate' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.03/1.42 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.03/1.42 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ), 'c_COMBC'( hAPP( hAPP(
% 1.03/1.42 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.03/1.42 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.03/1.42 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Ostate' ), 'c_COMBS'(
% 1.03/1.42 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.03/1.42 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.03/1.42 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_Com_Ostate' ), hAPP( 'c_COMBB'(
% 1.03/1.42 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ),
% 1.03/1.42 'c_implies' ) ), 'c_Natural_Oevalc'( 'v_c' ) ) ), 'tc_Com_Ostate',
% 1.03/1.42 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.03/1.42 'tc_bool' ) ) ), 'c_fequal'( 'tc_Com_Ostate' ) ) ), 'v_c', 'c_fequal'(
% 1.03/1.42 'tc_Com_Ostate' ), 'tc_Com_Ostate' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.03/1.42 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.03/1.42 ), 'tc_Com_Ostate' ) ) ],
% 1.03/1.42 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.42 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.03/1.42 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.42 'class_Lattices_Olattice'( Y ) ) ],
% 1.03/1.42 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.42 'class_Lattices_Olattice'( Y ) ) ],
% 1.03/1.42 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.42 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.03/1.42 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.42 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.03/1.42 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.42 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.03/1.42 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.03/1.42 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.42 'class_Orderings_Opreorder'( Y ) ) ],
% 1.03/1.42 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.42 'class_Lattices_Olattice'( Y ) ) ],
% 1.03/1.42 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.42 'class_Orderings_Oorder'( Y ) ) ],
% 1.03/1.42 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.03/1.42 Y ) ) ],
% 1.03/1.42 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.03/1.42 Y ) ) ],
% 1.03/1.42 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.03/1.42 ,
% 1.03/1.42 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.03/1.42 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.03/1.42 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.03/1.42 T, W ), hAPP( U, W ) ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.03/1.42 U ) ) ],
% 1.03/1.42 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.03/1.42 hAPP( U, W ) ) ) ],
% 1.03/1.42 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.03/1.42 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.03/1.42 ] .
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 percentage equality = 0.290258, percentage horn = 0.885671
% 1.03/1.42 This is a problem with some equality
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42
% 1.03/1.42 Options Used:
% 1.03/1.42
% 1.03/1.42 useres = 1
% 1.03/1.42 useparamod = 1
% 1.03/1.42 useeqrefl = 1
% 1.03/1.42 useeqfact = 1
% 1.03/1.42 usefactor = 1
% 1.03/1.42 usesimpsplitting = 0
% 1.03/1.42 usesimpdemod = 5
% 1.03/1.42 usesimpres = 3
% 1.03/1.42
% 1.03/1.42 resimpinuse = 1000
% 1.03/1.42 resimpclauses = 20000
% 1.03/1.42 substype = eqrewr
% 1.03/1.42 backwardsubs = 1
% 1.03/1.42 selectoldest = 5
% 1.03/1.42
% 1.03/1.42 litorderings [0] = split
% 1.03/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 1.03/1.42
% 1.03/1.42 termordering = kbo
% 1.03/1.42
% 1.03/1.42 litapriori = 0
% 1.03/1.42 termapriori = 1
% 1.03/1.42 litaposteriori = 0
% 1.03/1.42 termaposteriori = 0
% 1.03/1.42 demodaposteriori = 0
% 1.03/1.42 ordereqreflfact = 0
% 1.03/1.42
% 1.03/1.42 litselect = negord
% 1.03/1.42
% 1.03/1.42 maxweight = 15
% 1.03/1.42 maxdepth = 30000
% 1.03/1.42 maxlength = 115
% 1.03/1.42 maxnrvars = 195
% 1.03/1.42 excuselevel = 1
% 1.03/1.42 increasemaxweight = 1
% 1.03/1.42
% 1.03/1.42 maxselected = 10000000
% 1.03/1.42 maxnrclauses = 10000000
% 1.03/1.42
% 1.03/1.42 showgenerated = 0
% 1.03/1.42 showkept = 0
% 1.03/1.42 showselected = 0
% 1.03/1.42 showdeleted = 0
% 1.03/1.42 showresimp = 1
% 1.03/1.42 showstatus = 2000
% 1.03/1.42
% 1.03/1.42 prologoutput = 1
% 1.03/1.42 nrgoals = 5000000
% 1.03/1.42 totalproof = 1
% 1.03/1.42
% 1.03/1.42 Symbols occurring in the translation:
% 1.03/1.42
% 1.03/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.03/1.42 . [1, 2] (w:1, o:189, a:1, s:1, b:0),
% 1.03/1.42 ! [4, 1] (w:0, o:118, a:1, s:1, b:0),
% 1.03/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.42 'class_Complete__Lattice_Ocomplete__lattice' [40, 1] (w:1, o:123, a:1
% 1.03/1.42 , s:1, b:0),
% 1.03/1.42 'c_Finite__Set_Olattice__class_OInf__fin' [41, 1] (w:1, o:125, a:1
% 1.03/1.42 , s:1, b:0),
% 1.03/1.42 hAPP [43, 2] (w:1, o:214, a:1, s:1, b:0),
% 1.03/1.42 'c_Complete__Lattice_OInf__class_OInf' [44, 1] (w:1, o:127, a:1, s:1
% 1.03/1.42 , b:0),
% 1.03/1.42 'tc_bool' [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.03/1.42 'tc_fun' [46, 2] (w:1, o:215, a:1, s:1, b:0),
% 1.03/1.42 'c_Orderings_Obot__class_Obot' [47, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.03/1.42 'c_Finite__Set_Ofinite' [48, 2] (w:1, o:216, a:1, s:1, b:0),
% 1.03/1.42 'c_Finite__Set_Olattice__class_OSup__fin' [49, 1] (w:1, o:130, a:1
% 1.03/1.42 , s:1, b:0),
% 1.03/1.42 'c_Complete__Lattice_OSup__class_OSup' [50, 1] (w:1, o:131, a:1, s:1
% 1.03/1.42 , b:0),
% 1.03/1.42 'class_OrderedGroup_Ocomm__monoid__add' [51, 1] (w:1, o:132, a:1, s:1
% 1.03/1.42 , b:0),
% 1.03/1.42 'c_Finite__Set_Osetsum' [53, 2] (w:1, o:217, a:1, s:1, b:0),
% 1.03/1.42 'c_COMBS' [54, 3] (w:1, o:232, a:1, s:1, b:0),
% 1.03/1.42 'c_COMBB' [55, 3] (w:1, o:233, a:1, s:1, b:0),
% 1.03/1.42 'c_HOL_Oplus__class_Oplus' [56, 1] (w:1, o:134, a:1, s:1, b:0),
% 1.03/1.42 'class_Lattices_Olattice' [59, 1] (w:1, o:135, a:1, s:1, b:0),
% 1.03/1.42 'c_Lattices_Oupper__semilattice__class_Osup' [60, 1] (w:1, o:136, a:1
% 1.03/1.42 , s:1, b:0),
% 1.03/1.42 'c_in' [62, 1] (w:1, o:137, a:1, s:1, b:0),
% 1.03/1.42 hBOOL [63, 1] (w:1, o:138, a:1, s:1, b:0),
% 1.03/1.42 'class_Ring__and__Field_Opordered__ring' [64, 1] (w:1, o:141, a:1, s:
% 1.03/1.42 1, b:0),
% 1.03/1.42 'c_HOL_Oord__class_Oless' [65, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.03/1.42 'c_HOL_Otimes__class_Otimes' [66, 1] (w:1, o:142, a:1, s:1, b:0),
% 1.03/1.42 'c_HOL_Ominus__class_Ominus' [71, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.03/1.42 'c_lessequals' [72, 1] (w:1, o:144, a:1, s:1, b:0),
% 1.03/1.42 'class_OrderedGroup_Ogroup__add' [73, 1] (w:1, o:145, a:1, s:1, b:0)
% 1.03/1.42 ,
% 1.03/1.42 'class_Ring__and__Field_Ocomm__semiring__1' [74, 1] (w:1, o:146, a:1
% 1.03/1.42 , s:1, b:0),
% 1.03/1.42 'class_OrderedGroup_Ocancel__semigroup__add' [76, 1] (w:1, o:147, a:1
% 1.03/1.42 , s:1, b:0),
% 1.03/1.42 'class_OrderedGroup_Ocancel__ab__semigroup__add' [77, 1] (w:1, o:148
% 1.03/1.42 , a:1, s:1, b:0),
% 1.03/1.42 'class_Ring__and__Field_Oidom' [78, 1] (w:1, o:149, a:1, s:1, b:0),
% 1.03/1.42 'class_Int_Onumber__ring' [79, 1] (w:1, o:152, a:1, s:1, b:0),
% 1.03/1.42 'class_Ring__and__Field_Osemiring' [83, 1] (w:1, o:154, 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:155, 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:156
% 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:
% 1.07/1.46 157, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Oab__group__add' [87, 1] (w:1, o:158, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'class_OrderedGroup_Oab__semigroup__add' [89, 1] (w:1, o:159, 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:
% 1.07/1.46 160, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Opordered__ab__semigroup__add' [91, 1] (w:1, o:
% 1.07/1.46 162, a:1, s:1, b:0),
% 1.07/1.46 'c_Finite__Set_Ofold1' [92, 2] (w:1, o:218, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Osemigroup__add' [93, 1] (w:1, o:163, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'c_List_Ofoldl' [95, 5] (w:1, o:261, 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:164, 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:165, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Opordered__ab__group__add' [99, 1] (w:1, o:166
% 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:167, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'class_Ring__and__Field_Oring' [101, 1] (w:1, o:153, a:1, s:1, b:0),
% 1.07/1.46
% 1.07/1.46 'c_Set_Oinsert' [102, 1] (w:1, o:168, 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:242, a:1, s:1, b:0),
% 1.07/1.46 'c_Set_Oimage' [109, 3] (w:1, o:234, a:1, s:1, b:0),
% 1.07/1.46 'c_Collect' [111, 1] (w:1, o:126, 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:169, a:1, s:1, b:0),
% 1.07/1.46 'c_COMBC' [114, 4] (w:1, o:243, a:1, s:1, b:0),
% 1.07/1.46 'class_Lattices_Odistrib__lattice' [115, 1] (w:1, o:170, a:1, s:1, b:
% 1.07/1.46 0),
% 1.07/1.46 'c_Ex' [116, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.07/1.46 'c_and' [117, 0] (w:1, o:71, a:1, s:1, b:0),
% 1.07/1.46 'c_Orderings_Otop__class_Otop' [118, 1] (w:1, o:171, a:1, s:1, b:0),
% 1.07/1.46
% 1.07/1.46 'v_x' [120, 0] (w:1, o:73, a:1, s:1, b:0),
% 1.07/1.46 'class_Lattices_Olower__semilattice' [121, 1] (w:1, o:172, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'c_Orderings_Oorder__class_Omono' [123, 3] (w:1, o:235, a:1, s:1, b:0
% 1.07/1.46 ),
% 1.07/1.46 'class_Lattices_Obounded__lattice' [126, 1] (w:1, o:173, a:1, s:1, b:
% 1.07/1.46 0),
% 1.07/1.46 'c_Not' [127, 0] (w:1, o:79, a:1, s:1, b:0),
% 1.07/1.46 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1' [
% 1.07/1.46 130, 4] (w:1, o:244, a:1, s:1, b:0),
% 1.07/1.46 'class_OrderedGroup_Oordered__ab__semigroup__add' [131, 1] (w:1, o:
% 1.07/1.46 161, a:1, s:1, b:0),
% 1.07/1.46 'c_Finite__Set_Olinorder__class_OMax' [134, 2] (w:1, o:219, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'c_Finite__Set_Olinorder__class_OMin' [135, 2] (w:1, o:220, a:1, s:1
% 1.07/1.46 , b:0),
% 1.07/1.46 'c_Com_Ocom_OWhile' [136, 2] (w:1, o:221, a:1, s:1, b:0),
% 1.07/1.46 'c_Natural_Oevaln' [139, 4] (w:1, o:245, a:1, s:1, b:0),
% 1.07/1.46 'c_Fun_Oinj__on' [140, 4] (w:1, o:246, a:1, s:1, b:0),
% 1.07/1.46 'c_Finite__Set_Ofold1Set' [141, 3] (w:1, o:236, a:1, s:1, b:0),
% 1.07/1.46 'c_The' [142, 2] (w:1, o:223, a:1, s:1, b:0),
% 1.07/1.46 'class_Orderings_Oorder' [146, 1] (w:1, o:174, a:1, s:1, b:0),
% 1.07/1.46 'c_Orderings_Oorder__class_Ostrict__mono' [147, 3] (w:1, o:237, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'c_Complete__Lattice_Ocomplete__lattice' [156, 9] (w:1, o:265, a:1
% 1.07/1.46 , s:1, b:0),
% 1.07/1.46 'c_Com_Ocom_OSKIP' [159, 0] (w:1, o:94, a:1, s:1, b:0),
% 1.07/1.46 'c_Com_Ocom_OBODY' [161, 1] (w:1, o:176, a:1, s:1, b:0),
% 1.07/1.46 'c_Com_Ocom_OSemi' [166, 2] (w:1, o:224, a:1, s:1, b:0),
% 1.07/1.46 'c_Com_Ocom_OCond' [169, 3] (w:1, o:238, a:1, s:1, b:0),
% 1.07/1.46 'class_Orderings_Olinorder' [170, 1] (w:1, o:177, a:1, s:1, b:0),
% 1.07/1.46 'c_All' [171, 1] (w:1, o:178, a:1, s:1, b:0),
% 1.07/1.46 'c_implies' [172, 0] (w:1, o:96, a:1, s:1, b:0),
% 1.07/1.46 'class_HOL_Oord' [174, 1] (w:1, o:150, a:1, s:1, b:0),
% 4.94/5.30 'c_Hilbert__Choice_OGreatestM' [175, 4] (w:1, o:247, a:1, s:1, b:0),
% 4.94/5.30
% 4.94/5.30 'c_Hilbert__Choice_OEps' [176, 2] (w:1, o:225, a:1, s:1, b:0),
% 4.94/5.30 'c_Fun_Ocomp' [177, 5] (w:1, o:262, a:1, s:1, b:0),
% 4.94/5.30 'class_Lattices_Oupper__semilattice' [178, 1] (w:1, o:179, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'class_Orderings_Opreorder' [179, 1] (w:1, o:180, a:1, s:1, b:0),
% 4.94/5.30 'c_Lattices_Oboolean__algebra' [182, 9] (w:1, o:266, a:1, s:1, b:0),
% 4.94/5.30
% 4.94/5.30 'class_Ring__and__Field_Osemiring__0' [192, 1] (w:1, o:181, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'c_List_Omap' [194, 4] (w:1, o:248, a:1, s:1, b:0),
% 4.94/5.30 'class_HOL_Ominus' [196, 1] (w:1, o:151, a:1, s:1, b:0),
% 4.94/5.30 'c_SetInterval_Oord__class_OatLeastAtMost' [200, 3] (w:1, o:239, a:1
% 4.94/5.30 , s:1, b:0),
% 4.94/5.30 'class_OrderedGroup_Oab__semigroup__mult' [208, 1] (w:1, o:182, a:1
% 4.94/5.30 , s:1, b:0),
% 4.94/5.30 'class_Orderings_Otop' [209, 1] (w:1, o:183, a:1, s:1, b:0),
% 4.94/5.30 'class_Ring__and__Field_Oordered__idom' [210, 1] (w:1, o:139, a:1, s:
% 4.94/5.30 1, b:0),
% 4.94/5.30 'class_OrderedGroup_Oab__semigroup__idem__mult' [212, 1] (w:1, o:184
% 4.94/5.30 , a:1, s:1, b:0),
% 4.94/5.30 'class_Ring__and__Field_Oordered__ring__strict' [214, 1] (w:1, o:140
% 4.94/5.30 , a:1, s:1, b:0),
% 4.94/5.30 'class_Finite__Set_Ofinite_Ofinite' [215, 1] (w:1, o:185, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'class_Orderings_Obot' [217, 1] (w:1, o:186, a:1, s:1, b:0),
% 4.94/5.30 'c_Natural_Oevalc' [218, 1] (w:1, o:128, a:1, s:1, b:0),
% 4.94/5.30 'c_Com_Obody' [219, 1] (w:1, o:175, a:1, s:1, b:0),
% 4.94/5.30 'tc_Com_Ocom' [220, 0] (w:1, o:105, a:1, s:1, b:0),
% 4.94/5.30 'c_Option_Othe' [221, 2] (w:1, o:227, a:1, s:1, b:0),
% 4.94/5.30 'v_X' [226, 0] (w:1, o:108, a:1, s:1, b:0),
% 4.94/5.30 'c_Set_Ocontents' [227, 2] (w:1, o:222, a:1, s:1, b:0),
% 4.94/5.30 'c_Hilbert__Choice_OLeastM' [228, 4] (w:1, o:249, a:1, s:1, b:0),
% 4.94/5.30 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [229, 4] (w:1, o:250
% 4.94/5.30 , a:1, s:1, b:0),
% 4.94/5.30 'tc_Hoare__Mirabelle_Otriple' [230, 1] (w:1, o:187, a:1, s:1, b:0),
% 4.94/5.30 'tc_Com_Ostate' [231, 0] (w:1, o:109, a:1, s:1, b:0),
% 4.94/5.30 'c_Hoare__Mirabelle_Opeek__and' [232, 3] (w:1, o:240, a:1, s:1, b:0)
% 4.94/5.30 ,
% 4.94/5.30 'c_Hoare__Mirabelle_Otriple_Otriple' [233, 4] (w:1, o:251, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'c_Hoare__Mirabelle_Ohoare__derivs' [234, 3] (w:1, o:241, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [235, 2] (w:1, o:226, a:1
% 4.94/5.30 , s:1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [238, 6] (w:1
% 4.94/5.30 , o:263, a:1, s:1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [239, 4] (w:1
% 4.94/5.30 , o:253, a:1, s:1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xconseq12__3' [242, 4] (w:1, o:256, a:1, s:
% 4.94/5.30 1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xconseq12__2' [243, 4] (w:1, o:255, a:1, s:
% 4.94/5.30 1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [244, 6] (w:
% 4.94/5.30 1, o:264, a:1, s:1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [245, 4] (w:
% 4.94/5.30 1, o:258, a:1, s:1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [246, 4] (w:
% 4.94/5.30 1, o:257, a:1, s:1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [247, 4] (w:1
% 4.94/5.30 , o:252, a:1, s:1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xconseq2__1' [248, 2] (w:1, o:230, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xconseq2__2' [249, 2] (w:1, o:231, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xconseq12__1' [250, 4] (w:1, o:254, a:1, s:
% 4.94/5.30 1, b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xconseq1__1' [251, 2] (w:1, o:228, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xconseq1__2' [252, 2] (w:1, o:229, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xescape__1' [253, 4] (w:1, o:259, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'v_sko__Hoare__Mirabelle__Xescape__2' [254, 4] (w:1, o:260, a:1, s:1
% 4.94/5.30 , b:0),
% 4.94/5.30 'v_c' [261, 0] (w:1, o:114, a:1, s:1, b:0),
% 4.94/5.30 'c_Hoare__Mirabelle_OMGT' [262, 1] (w:1, o:188, a:1, s:1, b:0),
% 4.94/5.30 'v_G' [263, 0] (w:1, o:115, a:1, s:1, b:0).
% 4.94/5.30
% 4.94/5.30
% 4.94/5.30 Starting Search:
% 4.94/5.30
% 4.94/5.30 Resimplifying inuse:
% 4.94/5.30 Done
% 4.94/5.30
% 4.94/5.30
% 4.94/5.30 Intermediate Status:
% 4.94/5.30 Generated: 5231
% 4.94/5.30 Kept: 2597
% 4.94/5.30 Inuse: 87
% 4.94/5.30 Deleted: 1
% 4.94/5.30 Deletedinuse: 0
% 4.94/5.30
% 4.94/5.30 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 13393
% 18.62/19.02 Kept: 4885
% 18.62/19.02 Inuse: 141
% 18.62/19.02 Deleted: 1
% 18.62/19.02 Deletedinuse: 0
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 20440
% 18.62/19.02 Kept: 6895
% 18.62/19.02 Inuse: 211
% 18.62/19.02 Deleted: 2
% 18.62/19.02 Deletedinuse: 0
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 35320
% 18.62/19.02 Kept: 9069
% 18.62/19.02 Inuse: 234
% 18.62/19.02 Deleted: 2
% 18.62/19.02 Deletedinuse: 0
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 42251
% 18.62/19.02 Kept: 11074
% 18.62/19.02 Inuse: 287
% 18.62/19.02 Deleted: 2
% 18.62/19.02 Deletedinuse: 0
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 49254
% 18.62/19.02 Kept: 13148
% 18.62/19.02 Inuse: 319
% 18.62/19.02 Deleted: 2
% 18.62/19.02 Deletedinuse: 0
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 57741
% 18.62/19.02 Kept: 15313
% 18.62/19.02 Inuse: 344
% 18.62/19.02 Deleted: 2
% 18.62/19.02 Deletedinuse: 0
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 69890
% 18.62/19.02 Kept: 17969
% 18.62/19.02 Inuse: 380
% 18.62/19.02 Deleted: 7
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 79346
% 18.62/19.02 Kept: 20045
% 18.62/19.02 Inuse: 435
% 18.62/19.02 Deleted: 12
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying clauses:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 90109
% 18.62/19.02 Kept: 22157
% 18.62/19.02 Inuse: 475
% 18.62/19.02 Deleted: 216
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 102231
% 18.62/19.02 Kept: 25040
% 18.62/19.02 Inuse: 500
% 18.62/19.02 Deleted: 216
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 108493
% 18.62/19.02 Kept: 27050
% 18.62/19.02 Inuse: 508
% 18.62/19.02 Deleted: 216
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 120291
% 18.62/19.02 Kept: 29152
% 18.62/19.02 Inuse: 565
% 18.62/19.02 Deleted: 216
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 135063
% 18.62/19.02 Kept: 32067
% 18.62/19.02 Inuse: 599
% 18.62/19.02 Deleted: 216
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 147725
% 18.62/19.02 Kept: 35036
% 18.62/19.02 Inuse: 624
% 18.62/19.02 Deleted: 216
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 155128
% 18.62/19.02 Kept: 37393
% 18.62/19.02 Inuse: 640
% 18.62/19.02 Deleted: 216
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 168374
% 18.62/19.02 Kept: 40857
% 18.62/19.02 Inuse: 647
% 18.62/19.02 Deleted: 216
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying clauses:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 181601
% 18.62/19.02 Kept: 43241
% 18.62/19.02 Inuse: 679
% 18.62/19.02 Deleted: 427
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 192002
% 18.62/19.02 Kept: 45414
% 18.62/19.02 Inuse: 701
% 18.62/19.02 Deleted: 427
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 197921
% 18.62/19.02 Kept: 47422
% 18.62/19.02 Inuse: 723
% 18.62/19.02 Deleted: 427
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 210653
% 18.62/19.02 Kept: 49433
% 18.62/19.02 Inuse: 760
% 18.62/19.02 Deleted: 427
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 224313
% 18.62/19.02 Kept: 51512
% 18.62/19.02 Inuse: 775
% 18.62/19.02 Deleted: 427
% 18.62/19.02 Deletedinuse: 1
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 233275
% 18.62/19.02 Kept: 53636
% 18.62/19.02 Inuse: 805
% 18.62/19.02 Deleted: 430
% 18.62/19.02 Deletedinuse: 4
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 249600
% 18.62/19.02 Kept: 55638
% 18.62/19.02 Inuse: 832
% 18.62/19.02 Deleted: 431
% 18.62/19.02 Deletedinuse: 5
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 267386
% 18.62/19.02 Kept: 59436
% 18.62/19.02 Inuse: 850
% 18.62/19.02 Deleted: 431
% 18.62/19.02 Deletedinuse: 5
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02
% 18.62/19.02 Intermediate Status:
% 18.62/19.02 Generated: 276283
% 18.62/19.02 Kept: 61673
% 18.62/19.02 Inuse: 860
% 18.62/19.02 Deleted: 431
% 18.62/19.02 Deletedinuse: 5
% 18.62/19.02
% 18.62/19.02 Resimplifying inuse:
% 18.62/19.02 Done
% 18.62/19.02
% 18.62/19.02 Resimplifying clauses:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 283190
% 60.32/60.68 Kept: 63673
% 60.32/60.68 Inuse: 874
% 60.32/60.68 Deleted: 708
% 60.32/60.68 Deletedinuse: 5
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 305566
% 60.32/60.68 Kept: 66439
% 60.32/60.68 Inuse: 900
% 60.32/60.68 Deleted: 708
% 60.32/60.68 Deletedinuse: 5
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 315782
% 60.32/60.68 Kept: 68487
% 60.32/60.68 Inuse: 925
% 60.32/60.68 Deleted: 710
% 60.32/60.68 Deletedinuse: 7
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 326231
% 60.32/60.68 Kept: 70495
% 60.32/60.68 Inuse: 955
% 60.32/60.68 Deleted: 715
% 60.32/60.68 Deletedinuse: 11
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 340627
% 60.32/60.68 Kept: 72497
% 60.32/60.68 Inuse: 978
% 60.32/60.68 Deleted: 716
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 351235
% 60.32/60.68 Kept: 74736
% 60.32/60.68 Inuse: 1000
% 60.32/60.68 Deleted: 720
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 362562
% 60.32/60.68 Kept: 76982
% 60.32/60.68 Inuse: 1017
% 60.32/60.68 Deleted: 733
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 379798
% 60.32/60.68 Kept: 79647
% 60.32/60.68 Inuse: 1032
% 60.32/60.68 Deleted: 733
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 392366
% 60.32/60.68 Kept: 84453
% 60.32/60.68 Inuse: 1035
% 60.32/60.68 Deleted: 733
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying clauses:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 413384
% 60.32/60.68 Kept: 89071
% 60.32/60.68 Inuse: 1047
% 60.32/60.68 Deleted: 1017
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 434909
% 60.32/60.68 Kept: 92932
% 60.32/60.68 Inuse: 1067
% 60.32/60.68 Deleted: 1017
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 449222
% 60.32/60.68 Kept: 95045
% 60.32/60.68 Inuse: 1072
% 60.32/60.68 Deleted: 1017
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 463531
% 60.32/60.68 Kept: 97154
% 60.32/60.68 Inuse: 1077
% 60.32/60.68 Deleted: 1017
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 474672
% 60.32/60.68 Kept: 99375
% 60.32/60.68 Inuse: 1097
% 60.32/60.68 Deleted: 1017
% 60.32/60.68 Deletedinuse: 12
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 497580
% 60.32/60.68 Kept: 102798
% 60.32/60.68 Inuse: 1117
% 60.32/60.68 Deleted: 1021
% 60.32/60.68 Deletedinuse: 16
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 510882
% 60.32/60.68 Kept: 107952
% 60.32/60.68 Inuse: 1119
% 60.32/60.68 Deleted: 1021
% 60.32/60.68 Deletedinuse: 16
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying clauses:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 526322
% 60.32/60.68 Kept: 110113
% 60.32/60.68 Inuse: 1122
% 60.32/60.68 Deleted: 1265
% 60.32/60.68 Deletedinuse: 16
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 535727
% 60.32/60.68 Kept: 112207
% 60.32/60.68 Inuse: 1137
% 60.32/60.68 Deleted: 1265
% 60.32/60.68 Deletedinuse: 16
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 546808
% 60.32/60.68 Kept: 114307
% 60.32/60.68 Inuse: 1157
% 60.32/60.68 Deleted: 1265
% 60.32/60.68 Deletedinuse: 16
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 571972
% 60.32/60.68 Kept: 117698
% 60.32/60.68 Inuse: 1177
% 60.32/60.68 Deleted: 1266
% 60.32/60.68 Deletedinuse: 17
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 582264
% 60.32/60.68 Kept: 119865
% 60.32/60.68 Inuse: 1192
% 60.32/60.68 Deleted: 1266
% 60.32/60.68 Deletedinuse: 17
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 594778
% 60.32/60.68 Kept: 122521
% 60.32/60.68 Inuse: 1197
% 60.32/60.68 Deleted: 1266
% 60.32/60.68 Deletedinuse: 17
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 603913
% 60.32/60.68 Kept: 124575
% 60.32/60.68 Inuse: 1215
% 60.32/60.68 Deleted: 1267
% 60.32/60.68 Deletedinuse: 18
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 622843
% 60.32/60.68 Kept: 127311
% 60.32/60.68 Inuse: 1222
% 60.32/60.68 Deleted: 1267
% 60.32/60.68 Deletedinuse: 18
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68
% 60.32/60.68 Intermediate Status:
% 60.32/60.68 Generated: 640292
% 60.32/60.68 Kept: 129427
% 60.32/60.68 Inuse: 1227
% 60.32/60.68 Deleted: 1267
% 60.32/60.68 Deletedinuse: 18
% 60.32/60.68
% 60.32/60.68 Resimplifying inuse:
% 60.32/60.68 Done
% 60.32/60.68
% 60.32/60.68 Resimplifying clauses:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 658883
% 126.17/126.51 Kept: 131656
% 126.17/126.51 Inuse: 1232
% 126.17/126.51 Deleted: 1482
% 126.17/126.51 Deletedinuse: 18
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 677023
% 126.17/126.51 Kept: 133764
% 126.17/126.51 Inuse: 1237
% 126.17/126.51 Deleted: 1482
% 126.17/126.51 Deletedinuse: 18
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 689247
% 126.17/126.51 Kept: 136090
% 126.17/126.51 Inuse: 1257
% 126.17/126.51 Deleted: 1482
% 126.17/126.51 Deletedinuse: 18
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 701006
% 126.17/126.51 Kept: 138110
% 126.17/126.51 Inuse: 1273
% 126.17/126.51 Deleted: 1482
% 126.17/126.51 Deletedinuse: 18
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 717555
% 126.17/126.51 Kept: 141439
% 126.17/126.51 Inuse: 1287
% 126.17/126.51 Deleted: 1482
% 126.17/126.51 Deletedinuse: 18
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 733166
% 126.17/126.51 Kept: 144689
% 126.17/126.51 Inuse: 1297
% 126.17/126.51 Deleted: 1482
% 126.17/126.51 Deletedinuse: 18
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 744834
% 126.17/126.51 Kept: 146764
% 126.17/126.51 Inuse: 1312
% 126.17/126.51 Deleted: 1482
% 126.17/126.51 Deletedinuse: 18
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 767540
% 126.17/126.51 Kept: 149420
% 126.17/126.51 Inuse: 1332
% 126.17/126.51 Deleted: 1482
% 126.17/126.51 Deletedinuse: 18
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying clauses:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 814806
% 126.17/126.51 Kept: 154179
% 126.17/126.51 Inuse: 1342
% 126.17/126.51 Deleted: 1646
% 126.17/126.51 Deletedinuse: 19
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 824905
% 126.17/126.51 Kept: 156320
% 126.17/126.51 Inuse: 1355
% 126.17/126.51 Deleted: 1649
% 126.17/126.51 Deletedinuse: 20
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 837761
% 126.17/126.51 Kept: 158528
% 126.17/126.51 Inuse: 1370
% 126.17/126.51 Deleted: 1649
% 126.17/126.51 Deletedinuse: 20
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 848660
% 126.17/126.51 Kept: 160605
% 126.17/126.51 Inuse: 1385
% 126.17/126.51 Deleted: 1649
% 126.17/126.51 Deletedinuse: 20
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 864813
% 126.17/126.51 Kept: 163163
% 126.17/126.51 Inuse: 1410
% 126.17/126.51 Deleted: 1649
% 126.17/126.51 Deletedinuse: 20
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 876103
% 126.17/126.51 Kept: 165756
% 126.17/126.51 Inuse: 1430
% 126.17/126.51 Deleted: 1649
% 126.17/126.51 Deletedinuse: 20
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 895295
% 126.17/126.51 Kept: 169917
% 126.17/126.51 Inuse: 1455
% 126.17/126.51 Deleted: 1654
% 126.17/126.51 Deletedinuse: 25
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying clauses:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 904027
% 126.17/126.51 Kept: 172681
% 126.17/126.51 Inuse: 1456
% 126.17/126.51 Deleted: 2836
% 126.17/126.51 Deletedinuse: 25
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 913932
% 126.17/126.51 Kept: 175188
% 126.17/126.51 Inuse: 1460
% 126.17/126.51 Deleted: 2836
% 126.17/126.51 Deletedinuse: 25
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 924369
% 126.17/126.51 Kept: 177741
% 126.17/126.51 Inuse: 1465
% 126.17/126.51 Deleted: 2836
% 126.17/126.51 Deletedinuse: 25
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 936316
% 126.17/126.51 Kept: 181226
% 126.17/126.51 Inuse: 1470
% 126.17/126.51 Deleted: 2836
% 126.17/126.51 Deletedinuse: 25
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 948367
% 126.17/126.51 Kept: 184710
% 126.17/126.51 Inuse: 1475
% 126.17/126.51 Deleted: 2836
% 126.17/126.51 Deletedinuse: 25
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 959543
% 126.17/126.51 Kept: 187171
% 126.17/126.51 Inuse: 1480
% 126.17/126.51 Deleted: 2836
% 126.17/126.51 Deletedinuse: 25
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 973006
% 126.17/126.51 Kept: 189313
% 126.17/126.51 Inuse: 1505
% 126.17/126.51 Deleted: 2836
% 126.17/126.51 Deletedinuse: 25
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying clauses:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 989529
% 126.17/126.51 Kept: 192886
% 126.17/126.51 Inuse: 1520
% 126.17/126.51 Deleted: 3064
% 126.17/126.51 Deletedinuse: 26
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 1000493
% 126.17/126.51 Kept: 195377
% 126.17/126.51 Inuse: 1525
% 126.17/126.51 Deleted: 3064
% 126.17/126.51 Deletedinuse: 26
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51 Resimplifying inuse:
% 126.17/126.51 Done
% 126.17/126.51
% 126.17/126.51
% 126.17/126.51 Intermediate Status:
% 126.17/126.51 Generated: 1018685
% 126.17/126.51 Kept: 199358
% 126.17/126.51 Inuse: 1535
% 126.17/126.51 Deleted: 3064
% 126.17/126.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1030083
% 208.09/208.51 Kept: 201663
% 208.09/208.51 Inuse: 1550
% 208.09/208.51 Deleted: 3064
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1035966
% 208.09/208.51 Kept: 204099
% 208.09/208.51 Inuse: 1555
% 208.09/208.51 Deleted: 3064
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1049542
% 208.09/208.51 Kept: 207193
% 208.09/208.51 Inuse: 1560
% 208.09/208.51 Deleted: 3064
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1071092
% 208.09/208.51 Kept: 212499
% 208.09/208.51 Inuse: 1565
% 208.09/208.51 Deleted: 3064
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying clauses:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1083222
% 208.09/208.51 Kept: 214502
% 208.09/208.51 Inuse: 1588
% 208.09/208.51 Deleted: 3310
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1117707
% 208.09/208.51 Kept: 218932
% 208.09/208.51 Inuse: 1605
% 208.09/208.51 Deleted: 3310
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1150586
% 208.09/208.51 Kept: 225572
% 208.09/208.51 Inuse: 1625
% 208.09/208.51 Deleted: 3310
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1161397
% 208.09/208.51 Kept: 228013
% 208.09/208.51 Inuse: 1640
% 208.09/208.51 Deleted: 3310
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1174416
% 208.09/208.51 Kept: 230545
% 208.09/208.51 Inuse: 1655
% 208.09/208.51 Deleted: 3310
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying clauses:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1189221
% 208.09/208.51 Kept: 233182
% 208.09/208.51 Inuse: 1675
% 208.09/208.51 Deleted: 4048
% 208.09/208.51 Deletedinuse: 26
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1205804
% 208.09/208.51 Kept: 235194
% 208.09/208.51 Inuse: 1698
% 208.09/208.51 Deleted: 4050
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1218830
% 208.09/208.51 Kept: 237893
% 208.09/208.51 Inuse: 1715
% 208.09/208.51 Deleted: 4050
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1235913
% 208.09/208.51 Kept: 241225
% 208.09/208.51 Inuse: 1720
% 208.09/208.51 Deleted: 4050
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1248773
% 208.09/208.51 Kept: 244062
% 208.09/208.51 Inuse: 1725
% 208.09/208.51 Deleted: 4050
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1261898
% 208.09/208.51 Kept: 247723
% 208.09/208.51 Inuse: 1730
% 208.09/208.51 Deleted: 4050
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1275041
% 208.09/208.51 Kept: 251389
% 208.09/208.51 Inuse: 1735
% 208.09/208.51 Deleted: 4050
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1288252
% 208.09/208.51 Kept: 254928
% 208.09/208.51 Inuse: 1740
% 208.09/208.51 Deleted: 4050
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying clauses:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1301627
% 208.09/208.51 Kept: 258497
% 208.09/208.51 Inuse: 1745
% 208.09/208.51 Deleted: 4329
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1321655
% 208.09/208.51 Kept: 264627
% 208.09/208.51 Inuse: 1755
% 208.09/208.51 Deleted: 4329
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1335908
% 208.09/208.51 Kept: 268669
% 208.09/208.51 Inuse: 1760
% 208.09/208.51 Deleted: 4329
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1350317
% 208.09/208.51 Kept: 272700
% 208.09/208.51 Inuse: 1765
% 208.09/208.51 Deleted: 4329
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1356477
% 208.09/208.51 Kept: 275141
% 208.09/208.51 Inuse: 1770
% 208.09/208.51 Deleted: 4329
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying clauses:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1363898
% 208.09/208.51 Kept: 278364
% 208.09/208.51 Inuse: 1775
% 208.09/208.51 Deleted: 4508
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1371254
% 208.09/208.51 Kept: 281585
% 208.09/208.51 Inuse: 1780
% 208.09/208.51 Deleted: 4508
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 208.09/208.51 Done
% 208.09/208.51
% 208.09/208.51
% 208.09/208.51 Intermediate Status:
% 208.09/208.51 Generated: 1382596
% 208.09/208.51 Kept: 283977
% 208.09/208.51 Inuse: 1795
% 208.09/208.51 Deleted: 4508
% 208.09/208.51 Deletedinuse: 28
% 208.09/208.51
% 208.09/208.51 Resimplifying inuse:
% 300.02/300.41 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------